EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH
CERN–PH–EP/2009–009
3 April 2009
arXiv:0906.0471v2 [hep-ex] 23 Jun 2009
CROSS-SECTIONS OF LARGE-ANGLE HADRON PRODUCTION
IN PROTON– AND PION–NUCLEUS INTERACTIONS III:
TANTALUM NUCLEI AND BEAM MOMENTA FROM ±3 GeV/c TO ±15 GeV/c
Abstract
We report on double-differential inclusive cross-sections of the production of secondary
protons, charged pions, and deuterons, in the interactions with a 5% λabs thick stationary
tantalum target, of proton and pion beams with momentum from ±3 GeV/c to ±15 GeV/c.
Results are given for secondary particles with production angles 20◦ < θ < 125◦ . They are
of particular relevance for the optimization of the design parameters of the proton driver of
a neutrino factory.
The HARP–CDP group
A. Bolshakova1 , I. Boyko1 , G. Chelkov1a , D. Dedovitch1 , A. Elagin1b , M. Gostkin1 ,
A. Guskov1 , Z. Kroumchtein1 , Yu. Nefedov1 , K. Nikolaev1 , A. Zhemchugov1 , F. Dydak2 ,
J. Wotschack2∗ , A. De Min3c , V. Ammosov4 , V. Gapienko4 , V. Koreshev4 , A. Semak4 ,
Yu. Sviridov4 , E. Usenko4d , V. Zaets4
1
Joint Institute for Nuclear Research, Dubna, Russia
2
CERN, Geneva, Switzerland
3
Politecnico di Milano and INFN, Sezione di Milano-Bicocca, Milan, Italy
4
Institute of High Energy Physics, Protvino, Russia
(To be submitted to Eur. Phys. J. C)
a
Also at the Moscow Institute of Physics and Technology, Moscow, Russia
Now at Texas A&M University, College Station, USA
c
On leave of absence at Ecole Polytechnique Fédérale, Lausanne, Switzerland
d
Now at Institute for Nuclear Research RAS, Moscow, Russia
∗
Corresponding author; e-mail: [email protected]
b
1 I NTRODUCTION
The HARP experiment arose from the realization that the inclusive differential cross-sections
of hadron production in the interactions of few GeV/c protons with nuclei were known only
within a factor of two to three, while more precise cross-sections are in demand for several
reasons. Pion production data on a variety of nuclei are required for (i) the understanding of the
underlying physics and the modelling of Monte Carlo generators of hadron–nucleus collisions,
(ii) the optimization of the design parameters of the proton driver of a neutrino factory, (iii)
flux predictions for conventional neutrino beams, and (iv) the calculation of the atmospheric
neutrino flux.
Consequently, the HARP detector was designed to carry out a programme of systematic and
precise (i.e., at the few per cent level) measurements of hadron production by protons and pions
with momenta from 1.5 to 15 GeV/c.
The detector combined a forward spectrometer with a large-angle spectrometer. The latter comprised a cylindrical Time Projection Chamber (TPC) around the target and an array of
Resistive Plate Chambers (RPCs) that surrounded the TPC. The purpose of the TPC was track
reconstruction and particle identification by dE/dx. The purpose of the RPCs was to complement the particle identification by time of flight.
The HARP experiment was performed at the CERN Proton Synchrotron in 2001 and 2002
with a set of stationary targets ranging from hydrogen to lead.
Here, we report on the large-angle production (polar angle θ in the range 20◦ < θ < 125◦ )
of secondary protons and charged pions, and of deuterons, in the interactions with a 5% λabs Ta
target of protons and pions with beam momenta of ±3.0, ±5.0, ±8.0, ±12.0, and ±15.0 GeV/c.
The atomic number of tantalum (A = 181.0) is close to the one of mercury (A = 200.6)
which is the preferred candidate for the pion production target of the proton driver of a neutrino
factory. Therefore, the data presented here are of particular interest for (ii) in the list above, the
design of a future neutrino factory.
This is the third of a series of cross-section papers with results from the HARP experiment.
In the first two papers [1,2] we have reported on results from the interactions with a Be target and
described the detector characteristics and our analysis algorithms. Our work involves only the
HARP large-angle spectrometer, the characteristics of which are described in detail in Refs. [3]
and [4].
2 T HE T9 PROTON AND PION BEAMS , AND THE TARGET
The protons and pions were delivered by the T9 beam line in the East Hall of CERN’s Proton Synchrotron. This beam line supports beam momenta between 1.5 and 15 GeV/c, with a
momentum bite ∆p/p ∼ 1%.
Beam particle identification was provided for by two threshold Cherenkov counters, BCA
and BCB, filled with nitrogen, and by time of flight over a flight path of 24.3 m. Table 1 lists the
beam instrumentation that was used at different beam momenta for p/π + and for π/e separation.
The pion beam had a contamination by muons from pion decays. It also had a contamination
by electrons from converted photons from π 0 decays. Only for the beam momenta of 3 and
5 GeV/c were electrons identified by a beam Cherenkov counter and rejected.
The fractions of muon and electron contaminations of the pion beam were experimentally
determined [5, 6] and are listed in Table 2 for all beam momenta. For the determination of
interaction cross-sections of pions, the muon and electron contaminations must be subtracted
from the incoming flux of pion-like particles (except electrons at the beam momenta of 3 and
5 GeV/c).
2
Table 1: Beam instrumentation for p/π + and π/e separation
Beam momentum [GeV/c]
±3.0
±5.0
±8.0
±12.0 and ±15.0
p/π + separation
TOF
TOF
BCB (2.50 bar)
BCA (1.25 bar)
BCB (1.50 bar)
BCA (3.50 bar)
BCB (3.50 bar)
π/e separation
BCB (1.05 bar)
BCA (0.60 bar)
Table 2: Contaminations of the pion beams by muons and electrons
Beam momentum [GeV/c]
±3.0
±5.0
±8.0
±12
±15
Muon fraction
(4.1 ± 0.4)%
(5.1 ± 0.4)%
(1.9 ± 0.5)%
(0.6 ± 0.6)%
(0.0 ± 0.5)%
Electron fraction
rejected
rejected
(1.2 ± 0.5)%
(0.5 ± 0.5)%
(0.0 ± 0.5)%
There is also a kaon contamination of a few per cent in the proton and pion beams. Because
the kaon interaction cross-sections are close to the proton and pion interaction cross-sections,
this contamination is ignored.
The beam trajectory was determined by a set of three multiwire proportional chambers
(MWPCs), located upstream of the target, several metres apart. The transverse error of the
impact point on the target was 0.5 mm from the resolution of the MWPCs, plus a contribution
from multiple scattering of the beam particles in various materials in the beam line. Excluding
the target itself, the latter contribution is 0.2 mm for a 8 GeV/c beam particle.
We select ‘good’ beam particles by requiring the unambiguous reconstruction of the particle
trajectory with good χ2 . In addition we require that the particle type is unambiguously identified. We select ‘good’ accelerator spills by requiring a minimal beam intensity and a ‘smooth’
variation of beam intensity across the 400 ms long spill1) .
The target was a disc made of high-purity (99.95%) tantalum, with a density of 16.67 g/cm3 ,
a radius of 15 mm, and a thickness of 5.6 ± 0.05 mm (5% λabs ).
The finite thickness of the target leads to a small attenuation of the number of incident beam
particles. The attenuation factor is fatt = 0.975.
The size of the beam spot at the position of the target was several millimetres in diameter,
determined by the setting of the beam optics and by multiple scattering. The nominal beam
1)
A smooth variation of beam intensity eases corrections for dynamic TPC track distortions.
3
3)
position2) was at xbeam
p = ybeam = 0, however, excursions by several millimetres could occur .
2
2
A loose fiducial cut xbeam + ybeam < 12 mm ensured full beam acceptance. The muon and
electron contaminations of the pion beam, stated above, refer to this acceptance cut.
3
T HE HARP
LARGE - ANGLE DETECTORS
Our calibration work on the HARP TPC and RPCs is described in detail in Refs. [3] and [4], and
in references cited therein. In particular, we recall that static and dynamic TPC track distortions
up to 10 mm have been corrected to better than 300 µm. Therefore, TPC track distortions do
not affect the precision of our cross-section measurements.
The resolution σ(1/pT ) is typically 0.2 (GeV/c)−1 and worsens towards small relative particle velocity β and small polar angle θ.
The absolute momentum scale is determined to be correct to better than 2%, both for positively and negatively charged particles.
The polar angle θ is measured in the TPC with a resolution of ∼9 mrad, for a representative
angle of θ = 60◦ . To this a multiple scattering error has to be added which is on the average
∼8 mrad for a proton with pT = 500 MeV/c in the TPC gas and θ = 60◦ , and ∼5 mrad for a
pion with the same characteristics. The polar-angle scale is correct to better than 2 mrad.
The TPC measures dE/dx with a resolution of 16% for a track length of 300 mm.
The intrinsic efficiency of the RPCs that surround the TPC is better than 98%.
The intrinsic time resolution of the RPCs is 127 ps and the system time-of-flight resolution
(that includes the jitter of the arrival time of the beam particle at the target) is 175 ps.
To separate measured particles into species, we assign on the basis of dE/dx and β to
each particle a probability of being a proton, a pion (muon), or an electron, respectively. The
probabilities add up to unity, so that the number of particles is conserved. These probabilities
are used for weighting when entering tracks into plots or tables.
4
M ONTE C ARLO SIMULATION
We used the Geant4 tool kit [7] for the simulation of the HARP large-angle spectrometer.
We had expected that Geant4 would provide us with reasonably realistic spectra of secondary hadrons. We found this expectation met by Geant4’s so-called QGSP BIC physics list,
but only for the secondaries from incoming beam protons with momentum less than 12 GeV/c.
For the secondaries from beam protons at 12 and 15 GeV/c momentum, and from beam pions
at all momenta, we found the standard physics lists of Geant4 unsuitable [8].
To overcome this problem, we built our own HARP CDP physics list for the production of
secondaries from incoming beam pions. It starts from Geant4’s standard QBBC physics list,
but the Quark–Gluon String Model is replaced by the FRITIOF string fragmentation model for
kinetic energy E > 6 GeV; for E < 6 GeV, the Bertini Cascade is used for pions, and the
Binary Cascade for protons; elastic and quasi-elastic scattering is disabled. Examples of the
good performance of the HARP CDP physics list are given in Ref. [8].
2)
A right-handed Cartesian and/or spherical polar coordinate system is employed; the z axis coincides with
the beam line, with +z pointing downstream; the coordinate origin is at the upstream end of the tantalum target,
500 mm downstream of the TPC’s pad plane; looking downstream, the +x coordinate points to the left and the +y
coordinate points up; the polar angle θ is the angle with respect to the +z axis.
3)
The only relevant issue is that the trajectory of each individual beam particle is known, whether shifted or not,
and therefore the amount of matter to be traversed by the secondary hadrons.
4
5 S YSTEMATIC ERRORS
The systematic precision of our inclusive cross-sections is at the few-per-cent level, from errors in the normalization, in the momentum measurement, in particle identification, and in the
corrections applied to the data.
The systematic error of the absolute flux normalization is taken as 2%. This error arises
from uncertainties in the target thickness, in the contribution of large-angle scattering of beam
particles, in the attenuation of beam particles in the target, and in the subtraction of the muon
and electron contaminations of the beam. Another contribution comes from the removal of
events with an abnormally large number of TPC hits4) .
The systematic error of the track finding efficiency is taken as 1% which reflects differences
between results from different persons who conducted eyeball scans. We also take the statistical errors of the parameters of a fit to scan results as systematic error into account [1]. The
systematic error of the correction for losses from the requirement of at least 10 TPC clusters per
track is taken as 20% of the correction which itself is in the range of 5 to 30%. This estimate
arose from differences between the four TPC sectors that were used in our analysis, and from
the observed variations with time.
The systematic error of the pT scale is taken as 2% as discussed in Ref. [3]. For the data
from the −3 GeV/c and +15 GeV/c beams, this error was doubled to account for a larger than
usual uncertainty of the correction for dynamic TPC track distortions.
The systematic errors of the proton, pion, and electron abundances are taken as 10%. We
stress that errors on abundances only lead to cross-section errors in case of a strong overlap of
the resolution functions of both identification variables, dE/dx and β. The systematic error of
the correction for migration, absorption of secondary protons and pions in materials, and for
pion decay into muons, is taken as 20% of the correction, or 1% of the cross-section, whichever
is larger. These estimates reflect our experience with remanent differences between data and
Monte Carlo simulations after weighting Monte Carlo events with smooth functions with a
view to reproducing the data simultaneously in several variables in the best possible way.
All systematic errors are propagated into the momentum spectra of secondaries and then
added in quadrature.
6 C ROSS - SECTION RESULTS
In Tables A.1–A.45, collated in the Appendix of this paper, we give the double-differential inclusive cross-sections d2 σ/dpdΩ for various combinations of incoming beam particle and secondary particle, including statistical and systematic errors. In each bin, the average momentum
at the vertex and the average polar angle are also given.
The data of Tables A.1–A.45 are available in ASCII format in Ref. [9].
Some bins in the tables are empty. Cross-sections are only given if the total error is not
larger than the cross-section itself. Since our track reconstruction algorithm is optimized for
tracks with pT above ∼70 MeV/c in the TPC volume, we do not give cross-sections from tracks
with pT below this value. Because of the absorption of slow protons in the material between
the vertex and the TPC gas, and with a view to keeping the correction for absorption losses
below 30%, cross-sections from protons are limited to p > 450 MeV/c at the interaction vertex.
Proton cross-sections are also not given if a 10% error on the proton energy loss in materials
between the interaction vertex and the TPC volume leads to a momentum change larger than
4)
In less than 0.5% of the number of good events, because of apparatus malfunction, the number of TPC hits
was much larger than possible for a physics event. Such events were considered unphysical and eliminated.
5
2%. Since the proton energy loss is large in the tantalum target, particularly at polar angles
close to 90 degrees, the latter condition imposes significant restrictions. Pion cross-sections are
not given if pions are separated from protons by less than twice the time-of-flight resolution.
The absence of results from the +12 GeV/c and +15 GeV/c pion beams is caused by scarce
statistics because the beam composition was dominated by protons.
We present in Figs. 1 to 7 what we consider salient features of our cross-sections.
Figure 1 shows the inclusive cross-sections of the production of protons, π + ’s, and π − ’s,
from incoming protons between 3 GeV/c and 12 GeV/c momentum, as a function of their
charge-signed pT . The data refer to the polar-angle range 20◦ < θ < 30◦ . Figures 2 and 3 show
the same for incoming π + ’s and π − ’s.
Figure 4 shows the inclusive cross-sections of the production of protons, π + ’s, and π − ’s,
from incoming protons between 3 GeV/c and 15 GeV/c momentum, this time as a function of
their charge-signed polar angle θ. The data refer to the pT range 0.24 < pT < 0.30 GeV/c.
In this pT range pions populate nearly all polar angles, whereas protons are absorbed at large
polar angle and thus escape measurement. Figures 5 and 6 show the same for incoming π + ’s
and π − ’s.
In Fig. 7, we present the inclusive cross-sections of the production of secondary π + ’s and
π − ’s, integrated over the momentum range 0.2 < p < 1.0 GeV/c and the polar-angle range
30◦ < θ < 90◦ in the forward hemisphere, as a function of the beam momentum.
6
HARP-CDP
+
-
HARP-CDP
π
p
1200
-
π
p
1000
800
600
800
600
400
2
2
400
200
0
200
-1
-0.8 -0.6 -0.4 -0.2
0
0.2
0.4
0.6
0.8
0
1
-1
Charge-signed pT (GeV/c)
HARP-CDP
+
-0.8 -0.6 -0.4 -0.2
0
0.2
0.4
0.6
0.8
1
Charge-signed pT (GeV/c)
p + Ta → (p,π ,π ) + X
-
HARP-CDP
π
p
1200
p + Ta → (p,π ,π ) + X
+
-
π
p
+12.0 GeV/c
20o < Θ < 30o
1400
d σ/dpdΩ (mb/sr GeV/c)
+8.0 GeV/c
20o < Θ < 30o
1400
d σ/dpdΩ (mb/sr GeV/c)
+
1200
1000
1200
1000
1000
800
600
800
600
400
2
2
400
200
0
200
-1
-0.8 -0.6 -0.4 -0.2
0
0.2
0.4
0.6
0.8
0
1
Charge-signed pT (GeV/c)
HARP-CDP
-1
-0.8 -0.6 -0.4 -0.2
0
0.2
0.4
0.6
0.8
1
Charge-signed pT (GeV/c)
p + Ta → (p,π ,π ) + X
+
-
π
p
+15.0 GeV/c
20o < Θ < 30o
1400
d σ/dpdΩ (mb/sr GeV/c)
p + Ta → (p,π ,π ) + X
+5.0 GeV/c
o
o
20 < Θ < 30
1400
d σ/dpdΩ (mb/sr GeV/c)
+3.0 GeV/c
o
o
20 < Θ < 30
1400
d σ/dpdΩ (mb/sr GeV/c)
p + Ta → (p,π ,π ) + X
1200
1000
800
600
2
400
200
0
-1
-0.8 -0.6 -0.4 -0.2
0
0.2
0.4
0.6
0.8
1
Charge-signed pT (GeV/c)
Fig. 1: Inclusive cross-sections of the production of secondary protons, π + ’s, and π − ’s, by protons on
tantalum nuclei, in the polar-angle range 20◦ < θ < 30◦ , for different proton beam momenta, as a
function of the charge-signed pT of the secondaries; the shown errors are total errors.
7
HARP-CDP
+
+
-
HARP-CDP
π
p
1200
+
-
π
p
1000
800
600
800
600
400
2
2
400
200
0
200
-1
-0.8 -0.6 -0.4 -0.2
0
0.2
0.4
0.6
0.8
0
1
-1
Charge-signed pT (GeV/c)
HARP-CDP
+
+
-0.8 -0.6 -0.4 -0.2
0
0.2
0.4
0.6
0.8
1
Charge-signed pT (GeV/c)
π + Ta → (p,π ,π ) + X
-
HARP-CDP
π
p
1200
π + Ta → (p,π ,π ) + X
+
+
-
π
p
+12.0 GeV/c
20o < Θ < 30o
1400
d σ/dpdΩ (mb/sr GeV/c)
+8.0 GeV/c
20o < Θ < 30o
1400
d σ/dpdΩ (mb/sr GeV/c)
+
1200
1000
1200
1000
1000
800
600
800
600
400
2
2
400
200
0
200
-1
-0.8 -0.6 -0.4 -0.2
0
0.2
0.4
0.6
0.8
0
1
Charge-signed pT (GeV/c)
HARP-CDP
-1
-0.8 -0.6 -0.4 -0.2
0
0.2
0.4
0.6
0.8
1
Charge-signed pT (GeV/c)
π + Ta → (p,π ,π ) + X
+
+
-
π
p
+15.0 GeV/c
20o < Θ < 30o
1400
d σ/dpdΩ (mb/sr GeV/c)
π + Ta → (p,π ,π ) + X
+5.0 GeV/c
o
o
20 < Θ < 30
1400
d σ/dpdΩ (mb/sr GeV/c)
+3.0 GeV/c
o
o
20 < Θ < 30
1400
d σ/dpdΩ (mb/sr GeV/c)
π + Ta → (p,π ,π ) + X
1200
1000
800
600
2
400
200
0
-1
-0.8 -0.6 -0.4 -0.2
0
0.2
0.4
0.6
0.8
1
Charge-signed pT (GeV/c)
Fig. 2: Inclusive cross-sections of the production of secondary protons, π + ’s, and π − ’s, by π + ’s on
tantalum nuclei, in the polar-angle range 20◦ < θ < 30◦ , for different π + beam momenta, as a function
of the charge-signed pT of the secondaries; the shown errors are total errors.
8
HARP-CDP
-
+
-
HARP-CDP
π
p
1200
+
-
π
p
1000
800
600
800
600
400
2
2
400
200
0
200
-1
-0.8 -0.6 -0.4 -0.2
0
0.2
0.4
0.6
0.8
0
1
-1
Charge-signed pT (GeV/c)
HARP-CDP
-
+
-0.8 -0.6 -0.4 -0.2
0
0.2
0.4
0.6
0.8
1
Charge-signed pT (GeV/c)
π + Ta → (p,π ,π ) + X
-
HARP-CDP
π
p
1200
π + Ta → (p,π ,π ) + X
-
+
-
π
p
-12.0 GeV/c
20o < Θ < 30o
1400
d σ/dpdΩ (mb/sr GeV/c)
-8.0 GeV/c
20o < Θ < 30o
1400
d σ/dpdΩ (mb/sr GeV/c)
-
1200
1000
1200
1000
1000
800
600
800
600
400
2
2
400
200
0
200
-1
-0.8 -0.6 -0.4 -0.2
0
0.2
0.4
0.6
0.8
0
1
Charge-signed pT (GeV/c)
HARP-CDP
-1
-0.8 -0.6 -0.4 -0.2
0
0.2
0.4
0.6
0.8
1
Charge-signed pT (GeV/c)
π + Ta → (p,π ,π ) + X
-
+
-
π
p
-15.0 GeV/c
20o < Θ < 30o
1400
d σ/dpdΩ (mb/sr GeV/c)
π + Ta → (p,π ,π ) + X
-5.0 GeV/c
o
o
20 < Θ < 30
1400
d σ/dpdΩ (mb/sr GeV/c)
-3.0 GeV/c
o
o
20 < Θ < 30
1400
d σ/dpdΩ (mb/sr GeV/c)
π + Ta → (p,π ,π ) + X
1200
1000
800
600
2
400
200
0
-1
-0.8 -0.6 -0.4 -0.2
0
0.2
0.4
0.6
0.8
1
Charge-signed pT (GeV/c)
Fig. 3: Inclusive cross-sections of the production of secondary protons, π + ’s, and π − ’s, by π − ’s on
tantalum nuclei, in the polar-angle range 20◦ < θ < 30◦ , for different π − beam momenta, as a function
of the charge-signed pT of the secondaries; the shown errors are total errors.
9
HARP-CDP
+
-
HARP-CDP
π
p
+3.0 GeV/c
0.24 < pT < 0.30 GeV/c
1400
d σ/dpdΩ (mb/sr GeV/c)
d σ/dpdΩ (mb/sr GeV/c)
1400
p + Ta → (p,π ,π ) + X
1200
-
π
p
+5.0 GeV/c
0.24 < pT < 0.30 GeV/c
1000
800
600
800
600
400
2
2
400
200
0
200
-150
-100
-50
0
50
100
0
150
-150
Charge-signed Θ (deg)
HARP-CDP
p + Ta → (p,π ,π ) + X
+
-100
-50
0
50
100
150
Charge-signed Θ (deg)
-
HARP-CDP
π
p
+8.0 GeV/c
0.24 < pT < 0.30 GeV/c
1400
d σ/dpdΩ (mb/sr GeV/c)
1400
d σ/dpdΩ (mb/sr GeV/c)
+
1200
1000
1200
p + Ta → (p,π ,π ) + X
+
-
π
p
+12.0 GeV/c
0.24 < pT < 0.30 GeV/c
1200
1000
1000
800
600
800
600
400
2
2
400
200
0
200
-150
-100
-50
0
50
100
0
150
Charge-signed Θ (deg)
HARP-CDP
1400
d σ/dpdΩ (mb/sr GeV/c)
p + Ta → (p,π ,π ) + X
-150
-100
-50
0
50
100
150
Charge-signed Θ (deg)
p + Ta → (p,π ,π ) + X
+
-
π
p
+15.0 GeV/c
0.24 < pT < 0.30 GeV/c
1200
1000
800
600
2
400
200
0
-150
-100
-50
0
50
100
150
Charge-signed Θ (deg)
Fig. 4: Inclusive cross-sections of the production of secondary protons, π + ’s, and π − ’s, with pT in the
range 0.24–0.30 GeV/c, by protons on tantalum nuclei, for different proton beam momenta, as a function
of the charge-signed polar angle θ of the secondaries; the shown errors are total errors.
10
HARP-CDP
+
+
-
HARP-CDP
π
p
+3.0 GeV/c
0.24 < pT < 0.30 GeV/c
1400
d σ/dpdΩ (mb/sr GeV/c)
d σ/dpdΩ (mb/sr GeV/c)
1400
π + Ta → (p,π ,π ) + X
1200
+
-
π
p
+5.0 GeV/c
0.24 < pT < 0.30 GeV/c
1000
800
600
800
600
400
2
2
400
200
0
200
-150
-100
-50
0
50
100
0
150
-150
Charge-signed Θ (deg)
HARP-CDP
π + Ta → (p,π ,π ) + X
+
+
-100
-50
0
50
100
150
Charge-signed Θ (deg)
-
HARP-CDP
π
p
+8.0 GeV/c
0.24 < pT < 0.30 GeV/c
1400
d σ/dpdΩ (mb/sr GeV/c)
1400
d σ/dpdΩ (mb/sr GeV/c)
+
1200
1000
1200
π + Ta → (p,π ,π ) + X
+
+
-
π
p
+12.0 GeV/c
0.24 < pT < 0.30 GeV/c
1200
1000
1000
800
600
800
600
400
2
2
400
200
0
200
-150
-100
-50
0
50
100
0
150
Charge-signed Θ (deg)
HARP-CDP
1400
d σ/dpdΩ (mb/sr GeV/c)
π + Ta → (p,π ,π ) + X
-150
-100
-50
0
50
100
150
Charge-signed Θ (deg)
π + Ta → (p,π ,π ) + X
+
+
-
π
p
+15.0 GeV/c
0.24 < pT < 0.30 GeV/c
1200
1000
800
600
2
400
200
0
-150
-100
-50
0
50
100
150
Charge-signed Θ (deg)
Fig. 5: Inclusive cross-sections of the production of secondary protons, π + ’s, and π − ’s, with pT in the
range 0.24–0.30 GeV/c, by π + ’s on tantalum nuclei, for different π + beam momenta, as a function of
the charge-signed polar angle θ of the secondaries; the shown errors are total errors.
11
HARP-CDP
-
+
-
HARP-CDP
π
p
-3.0 GeV/c
0.24 < pT < 0.30 GeV/c
1400
d σ/dpdΩ (mb/sr GeV/c)
d σ/dpdΩ (mb/sr GeV/c)
1400
π + Ta → (p,π ,π ) + X
1200
+
-
π
p
-5.0 GeV/c
0.24 < pT < 0.30 GeV/c
1000
800
600
800
600
400
2
2
400
200
0
200
-150
-100
-50
0
50
100
0
150
-150
Charge-signed Θ (deg)
HARP-CDP
π + Ta → (p,π ,π ) + X
-
+
-100
-50
0
50
100
150
Charge-signed Θ (deg)
-
HARP-CDP
π
p
-8.0 GeV/c
0.24 < pT < 0.30 GeV/c
1400
d σ/dpdΩ (mb/sr GeV/c)
1400
d σ/dpdΩ (mb/sr GeV/c)
-
1200
1000
1200
π + Ta → (p,π ,π ) + X
-
+
-
π
p
-12.0 GeV/c
0.24 < pT < 0.30 GeV/c
1200
1000
1000
800
600
800
600
400
2
2
400
200
0
200
-150
-100
-50
0
50
100
0
150
Charge-signed Θ (deg)
HARP-CDP
1400
d σ/dpdΩ (mb/sr GeV/c)
π + Ta → (p,π ,π ) + X
-150
-100
-50
0
50
100
150
Charge-signed Θ (deg)
π + Ta → (p,π ,π ) + X
-
+
-
π
p
-15.0 GeV/c
0.24 < pT < 0.30 GeV/c
1200
1000
800
600
2
400
200
0
-150
-100
-50
0
50
100
150
Charge-signed Θ (deg)
Fig. 6: Inclusive cross-sections of the production of secondary protons, π + ’s, and π − ’s, with pT in the
range 0.24–0.30 GeV/c, by π − ’s on tantalum nuclei, for different π − beam momenta, as a function of
the charge-signed polar angle θ of the secondaries; the shown errors are total errors.
12
p + Ta → π + X
+
HARP-CDP
0.2 < p < 1.0 GeV/c
o
o
30 < Θ < 90
1400
1000
1000
σ (mb)
1200
σ (mb)
1200
600
800
600
400
400
200
200
0
0
2
4
6
8
10
12
14
16
18
0
20
0
2
Beam momentum (GeV/c)
+
+
1000
σ (mb)
1000
σ (mb)
1200
800
600
200
200
4
6
8
10
12
14
16
18
0
20
0
2
Beam momentum (GeV/c)
-
+
1000
σ (mb)
1000
σ (mb)
1200
800
600
200
200
4
6
8
10
12
14
16
+
-
4
6
8
10
12
14
16
18
20
18
π + Ta → π + X
-
0
20
Beam momentum (GeV/c)
-
600
400
2
20
800
400
0
18
0.2 < p < 1.0 GeV/c
30o < Θ < 90o
1400
1200
0
16
π + Ta → π + X
HARP-CDP
0.2 < p < 1.0 GeV/c
30o < Θ < 90o
1400
14
Beam momentum (GeV/c)
π + Ta → π + X
HARP-CDP
12
600
400
2
10
800
400
0
8
0.2 < p < 1.0 GeV/c
30o < Θ < 90o
1400
1200
0
6
HARP-CDP
0.2 < p < 1.0 GeV/c
30o < Θ < 90o
1400
4
Beam momentum (GeV/c)
π + Ta → π + X
HARP-CDP
-
0.2 < p < 1.0 GeV/c
o
o
30 < Θ < 90
1400
800
p + Ta → π + X
HARP-CDP
0
2
4
6
8
10
12
14
16
18
20
Beam momentum (GeV/c)
Fig. 7: Inclusive cross-sections of the production of secondary π + ’s and π − ’s, integrated over the momentum range 0.2 < p < 1.0 GeV/c and the polar-angle range 30◦ < θ < 90◦ , from the interactions
on tantalum nuclei of protons (top row), π + ’s (middle row), and π − ’s (bottom row), as a function of the
beam momentum; the shown errors are total errors and mostly smaller than the symbol size.
13
7 D EUTERON PRODUCTION
Besides pions and protons, also deuterons are produced in sizeable quantities on tantalum nuclei. Up to momenta of about 1 GeV/c, deuterons are easily separated from protons both by
dE/dx and by time of flight.
Table 3 gives the ratio of deuteron to proton production as a function of the momentum at
the vertex, for the momenta of beam protons of 3 GeV/c, 8 GeV/c, and 15 GeV/c. Table 4 gives
the same for incoming π − and Table 5 for incoming π + . Cross-section ratios are not given if
the data are scarce and the statistical error becomes comparable with the ratio itself—which is
the case for deuterons at the high-momentum end of the spectrum.
The measured deuteron to proton production ratios are illustrated in Fig. 8, and compared
with the predictions of Geant4’s BIC and FRITIOF models. FRITIOF’s predictions are shown
for the same beam particles for which measured values are plotted, albeit only for beam momenta of 8 and 15 GeV/c, for its use at lower energies is discouraged. There is virtually no
difference between its predictions for incoming protons, π + ’s and π − ’s. BIC’s predictions are
shown for incoming protons only. Both models, especially the BIC model, largely underestimate deuteron production.
14
30° < ! < 45°
d/p
0.6
0.6
pbeam = 3 GeV/c
0.4
0.4
0.2
0.2
0
0.6
d/p
65° < ! < 90°
0.7 0.8 0.9
1
1.1 1.2
0.4
0.4
0.2
0.2
1
1.1 1.2
0.7 0.8 0.9
1
1.1 1.2
0.7 0.8 0.9
1
1.1 1.2
0
0.7 0.8 0.9
0.6
0.7 0.8 0.9
0.6
pbeam = 8 GeV/c
0
d/p
0
1
1.1 1.2
0.6
pbeam = 15 GeV/c
0.4
0.4
0.2
0.2
0
0
0.7 0.8 0.9
1
1.1 1.2
Momentum at vertex (GeV/c)
Fig. 8: Deuteron to proton ratio for beam particles of 3 GeV/c, 8 GeV/c, and 15 GeV/c on tantalum
nuclei, as a function of the momentum at the vertex, for the polar-angle regions 30◦ < θ < 45◦ (left
panels) and 65◦ < θ < 90◦ (right panels); black circles denote beam protons, triangles beam π + , and
open circles beam π − ; crosses denote predictions of Geant4’s FRITIOF model, the shaded (yellow)
histograms of its BIC model.
15
Table 3: Deuteron to proton ratio for beam protons of 3 GeV/c, 8 GeV/c, and 15 GeV/c on tantalum
nuclei, as a function of the particle momentum p [GeV/c] at the vertex, for five polar-angle regions.
Polar angle
θ
◦
20 − 30◦
30◦ − 45◦
45◦ − 65◦
65◦ − 90◦
90◦ − 125◦
p
0.731
0.793
0.863
0.940
1.023
1.110
1.201
0.714
0.778
0.851
0.930
1.015
1.104
1.196
0.717
0.783
0.856
0.935
1.020
1.108
1.200
0.761
0.825
0.896
0.972
1.053
1.138
0.759
0.824
0.896
0.974
1.057
3 GeV/c protons
d/p
0.204 ± 0.030
0.211 ± 0.031
0.221 ± 0.035
0.224 ± 0.040
0.187 ± 0.031
0.134 ± 0.032
0.246 ± 0.085
0.239 ± 0.023
0.235 ± 0.027
0.332 ± 0.079
0.226 ± 0.035
0.211 ± 0.041
0.318 ± 0.093
0.165 ± 0.040
0.282 ± 0.036
0.280 ± 0.036
0.373 ± 0.064
0.307 ± 0.047
0.347 ± 0.081
0.447 ± 0.201
0.294
0.389
0.470
0.514
0.409
±
±
±
±
±
0.053
0.112
0.128
0.149
0.132
16
8 GeV/c protons
d/p
0.200 ± 0.012
0.202 ± 0.012
0.241 ± 0.012
0.242 ± 0.021
0.222 ± 0.021
0.213 ± 0.019
0.284 ± 0.056
0.232 ± 0.014
0.259 ± 0.012
0.270 ± 0.013
0.297 ± 0.016
0.270 ± 0.017
0.290 ± 0.030
0.294 ± 0.063
0.277 ± 0.014
0.326 ± 0.016
0.323 ± 0.015
0.402 ± 0.031
0.388 ± 0.047
0.424 ± 0.075
0.354 ± 0.041
0.276 ± 0.019
0.388 ± 0.018
0.435 ± 0.035
0.507 ± 0.070
0.453 ± 0.055
0.537 ± 0.076
0.408 ± 0.027
0.590 ± 0.054
0.687 ± 0.080
0.754 ± 0.118
1.075 ± 0.241
15 GeV/c protons
d/p
0.190 ± 0.027
0.205 ± 0.025
0.223 ± 0.028
0.212 ± 0.029
0.224 ± 0.056
0.217 ± 0.036
0.234
0.240
0.241
0.229
0.234
0.302
±
±
±
±
±
±
0.021
0.021
0.022
0.028
0.055
0.082
0.269
0.263
0.329
0.260
0.382
0.392
±
±
±
±
±
±
0.027
0.023
0.053
0.046
0.118
0.124
0.403 ±
0.395 ±
0.533 ±
0.068
0.057
0.164
0.497 ±
0.636 ±
0.070
0.086
Table 4: Deuteron to proton ratio for beam π − ’s of 3 GeV/c, 8 GeV/c, and 15 GeV/c on tantalum nuclei,
as a function of the particle momentum p [GeV/c] at the vertex, for five polar-angle regions.
Polar angle
θ
◦
20 − 30◦
30◦ − 45◦
45◦ − 65◦
65◦ − 90◦
90◦ − 125◦
p
0.731
0.793
0.863
0.940
1.023
1.110
1.201
0.714
0.778
0.851
0.930
1.015
1.104
1.196
0.717
0.783
0.856
0.935
1.020
1.108
0.761
0.825
0.896
0.972
1.053
1.138
0.759
0.824
0.896
0.974
1.057
3 GeV/c π −
d/p
0.203 ± 0.032
0.268 ± 0.038
0.290 ± 0.053
0.289 ± 0.041
0.261 ± 0.058
0.238 ± 0.048
0.211 ± 0.043
0.265 ± 0.026
0.262 ± 0.029
0.261 ± 0.030
0.334 ± 0.044
0.245 ± 0.037
0.270 ± 0.072
0.299 ± 0.066
0.334 ± 0.033
0.369 ± 0.037
0.437 ± 0.052
0.411 ± 0.067
0.325 ± 0.066
0.305 ± 0.062
0.383 ± 0.049
0.431 ± 0.065
0.575 ± 0.103
0.512 ± 0.139
17
8 GeV/c π −
d/p
0.185 ± 0.023
0.235 ± 0.023
0.223 ± 0.028
0.248 ± 0.030
0.213 ± 0.031
0.232 ± 0.036
0.215 ± 0.034
0.247 ± 0.018
0.262 ± 0.021
0.284 ± 0.021
0.293 ± 0.026
0.270 ± 0.037
0.295 ± 0.047
0.222 ± 0.040
0.308 ± 0.019
0.336 ± 0.025
0.368 ± 0.034
0.377 ± 0.033
0.448 ± 0.060
0.407 ± 0.075
0.312 ± 0.028
0.402 ± 0.037
0.450 ± 0.049
0.449 ± 0.063
0.507 ± 0.078
0.541 ± 0.133
0.515 ± 0.053
0.631 ± 0.062
0.954 ± 0.189
0.802 ± 0.149
0.901 ± 0.335
15 GeV/c π −
d/p
0.189 ± 0.022
0.216 ± 0.026
0.231 ± 0.026
0.181 ± 0.025
0.203 ± 0.031
0.192 ± 0.032
0.210 ± 0.034
0.231 ± 0.019
0.277 ± 0.027
0.276 ± 0.028
0.246 ± 0.030
0.206 ± 0.043
0.270 ± 0.047
0.270 ± 0.090
0.268 ± 0.024
0.306 ± 0.026
0.340 ± 0.038
0.291 ± 0.038
0.324 ± 0.039
0.415 ± 0.099
0.362 ± 0.042
0.367 ± 0.058
0.489 ± 0.080
0.519 ± 0.089
0.373 ± 0.085
0.555 ± 0.140
0.445 ± 0.058
0.540 ± 0.088
1.001 ± 0.323
0.725 ± 0.169
Table 5: Deuteron to proton ratio for beam π + ’s of 3 GeV/c and 8 GeV/c on tantalum nuclei, as a function
of the particle momentum p [GeV/c] at the vertex, for five polar-angle regions.
Polar angle
θ
◦
20 − 30◦
30◦ − 45◦
45◦ − 65◦
65◦ − 90◦
90◦ − 125◦
p
0.731
0.793
0.863
0.940
1.023
1.110
1.201
0.714
0.778
0.851
0.930
1.015
1.104
1.196
0.717
0.783
0.856
0.935
1.020
1.108
1.200
0.761
0.825
0.896
0.972
0.759
0.824
0.896
0.974
3 GeV/c π +
d/p
0.224 ± 0.025
0.183 ± 0.021
0.225 ± 0.027
0.249 ± 0.034
0.207 ± 0.034
0.199 ± 0.040
0.173 ± 0.044
0.220 ± 0.022
0.237 ± 0.021
0.233 ± 0.023
0.222 ± 0.026
0.190 ± 0.024
0.168 ± 0.025
0.225 ± 0.054
0.243 ± 0.022
0.306 ± 0.037
0.304 ± 0.034
0.278 ± 0.044
0.319 ± 0.050
0.326 ± 0.087
0.245 ± 0.046
0.311 ± 0.051
0.353 ± 0.045
0.415 ± 0.054
0.398 ± 0.075
18
8 GeV/c π +
d/p
0.195 ± 0.021
0.171 ± 0.017
0.220 ± 0.028
0.203 ± 0.024
0.213 ± 0.031
0.243 ± 0.047
0.185 ± 0.032
0.255 ± 0.018
0.225 ± 0.017
0.263 ± 0.025
0.243 ± 0.020
0.256 ± 0.031
0.237 ± 0.039
0.275 ± 0.069
0.265 ± 0.018
0.289 ± 0.021
0.311 ± 0.031
0.312 ± 0.038
0.392 ± 0.066
0.274 ± 0.038
0.312 ± 0.084
0.288 ± 0.026
0.346 ± 0.047
0.508 ± 0.068
0.371 ± 0.069
0.348 ± 0.039
0.562 ± 0.078
0.636 ± 0.106
0.615 ± 0.107
8 C OMPARISON OF PARTICLE PRODUCTION ON BERYLLIUM AND TANTALUM NUCLEI
Figure 9 demonstrates the rather striking differences in the production of pions, protons, and
deuterons, in the interactions of protons with beryllium (A = 9.01) and tantalum (A = 181.0)
nuclei. Reinteractions of secondaries in the nuclear matter of the heavy tantalum nucleus lead
to a stark increase of the production of protons, deuterons, and even tritons, on tantalum nuclei
with respect to beryllium nuclei.
Fig. 9: Comparison of pion, proton, deuteron and triton production by protons between beryllium (histogram) and tantalum (black dots) target nuclei; the beryllium data are normalized such that the number
of protons produced on beryllium and on tantalum agree; the momentum range refers to particle momentum in the TPC.
19
9
9.1
C OMPARISON OF OUR RESULTS WITH RESULTS FROM OTHER EXPERIMENTS
Comparison with E802 results
Experiment E802 [10] at Brookhaven National Laboratory (BNL) measured secondary π + ’s in
the polar-angle range 5◦ < θ < 58◦ from the interactions of +14.6 GeV/c protons with gold
(A = 197.0) nuclei.
Figure 10 shows their published Lorentz-invariant cross-section of π + and π − production
by +14.6 GeV/c protons, in the rapidity range 1.2 < y < 1.4, as a function of mT − mπ , where
mT denotes the pion transverse mass. Their data are compared with our cross-sections from the
interactions of +15.0 GeV/c protons with tantalum nuclei, expressed in the same unit as used
by E802, but scaled up by 7% to compensate for the increase of the inclusive cross-section from
tantalum to gold. Since E802 quoted only statistical errors, our data in Fig. 10 are also shown
with their statistical errors.
Fig. 10: Comparison of our cross-sections (black circles) of π ± production by +15.0 GeV/c protons off
tantalum nuclei, scaled up by 7% (see text), with the cross-sections on gold nuclei published by the E802
Collaboration for the proton beam momentum of +14.6 GeV/c (open circles); all errors are statistical
only.
The E802 π ± cross-sections are in good agreement with our cross-sections measured nearly
at the same proton beam momentum, taking into account the normalization uncertainty of (10–
15)% quoted by E802. We draw attention to the good agreement of the slopes of the crosssections over two orders of magnitude.
20
9.2 Comparison with E910 results
BNL experiment E910 [11] measured secondary charged pions in the momentum range 0.1–
6 GeV/c from the interactions of +12.3 GeV/c protons with gold (A = 197.0) nuclei. This
experiment used a TPC for the measurement of secondaries, with a comfortably large track
length of ∼1.5 m. This feature, together with a magnetic field strength of 0.5 T, is of particular significance, since it permits considerably better charge identification and proton–pion
separation by dE/dx than is possible in the HARP detector. Figure 11 shows their published
cross-section d2 σ/dpdΩ of π ± production by +12.3 GeV/c protons, in the polar-angle range
0.8 < cos θ < 0.9. Since E910 quoted only statistical errors, our data in Fig. 11 from the interactions of +12.0 GeV/c protons with tantalum, scaled up by 7% to compensate for the increase
of the inclusive cross-section from tantalum to gold, are also shown with their statistical errors.
The normalization uncertainty quoted by E910 is ≤5%.
Fig. 11: Comparison of our cross-sections of π ± production by +12.0 GeV/c protons off tantalum nuclei,
scaled up by 7% (see text), with the cross-sections on gold nuclei published by the E910 Collaboration
for the proton beam momentum of +12.3 GeV/c (open circles); all errors are statistical only.
Also here, the E910 data are shown as published, and our data are expressed in the same
unit as used by E910. We draw attention to the good agreement in the π + /π − ratio between the
cross-sections from E910 and our cross-sections.
9.3 Comparison with results from the HARP Collaboration
Figure 12 (a) shows the comparison of our cross-sections of pion production by +12.0 GeV/c
protons off tantalum nuclei with the ones published by the HARP Collaboration [12], in the
21
polar-angle range 0.35 < θ < 0.55 rad. The latter cross-sections are plotted as published, while
we expressed our cross-sections in the unit used by the HARP Collaboration. Figure 12 (b)
shows our ratio π + /π − as a function of the polar angle θ in comparison with the ratios published
by the E910 Collaboration (at the slightly different proton beam momentum of +12.3 GeV/c,
and for gold nuclei) and by the HARP Collaboration.
The discrepancy between our results and those published by the HARP Collaboration is
evident. We note the difference especially of the π + cross-section, and the difference in the
reported momentum range. The discrepancy is even more serious as the same data set has been
analysed by both groups.
Fig. 12: (a) Comparison of our cross-sections (black circles) of π ± production by +12.0 GeV/c protons
off tantalum nuclei with the cross-sections published by the HARP Collaboration (open circles); (b)
Comparison of our ratio π + /π − at +12.0 GeV/c beam momentum as a function of the polar angle
θ with the ratios published by the HARP Collaboration; also shown are the ratios π + /π − published
by the E910 Collaboration for a +12.3 GeV/c beam momentum and for gold nuclei; for the HARP
Collaboration, total errors are shown; for E910 and our group, the shown errors are statistical only.
We hold that the discrepancy is caused by problems in the HARP Collaboration’s data analysis. They result primarily, but not exclusively, from a lack of understanding TPC track distortions and RPC timing signals. These problems, together with others that affect the HARP
Collaboration’s data analysis, are discussed in detail in Refs [13–15] and summarized in the
Appendix of Ref. [1].
We hold that the tantalum results published by the HARP Collaboration [12, 16] are not
suitable for the optimization of the proton driver of a neutrino factory.
10 S UMMARY
From the analysis of data from the HARP large-angle spectrometer (polar angle θ in the range
20◦ < θ < 125◦ ), double-differential cross-sections d2 σ/dpdΩ of the production of secondary
protons, π + ’s, and π − ’s, and of deuterons, have been obtained. The incoming beam particles
were protons and pions with momenta from ±3 to ±15 GeV/c, impinging on a 5% λabs thick
stationary tantalum target. Our cross-sections for π + and π − production agree with results from
22
BNL experiments E802 and E910 but disagree with the results of the HARP Collaboration that
were obtained from the same raw data. The inclusive cross-sections reported in this paper are
of particular relevance for the optimization of the design parameters of the proton driver of a
neutrino factory.
ACKNOWLEDGEMENTS
We are greatly indebted to many technical collaborators whose diligent and hard work made
the HARP detector a well-functioning instrument. We thank all HARP colleagues who devoted
time and effort to the design and construction of the detector, to data taking, and to setting up
the computing and software infrastructure. We express our sincere gratitude to HARP’s funding
agencies for their support.
R EFERENCES
[1] A. Bolshakova et al., Cross-sections of large-angle hadron production in proton– and
pion–nucleus interactions I: beryllium nuclei and beam momenta of +8.9 GeV/c and
−8.0 GeV/c, Preprint CERN–PH–EP–2008–022 [arXiv:0901.3648], accepted for publication in Eur. Phys. J. C
[2] A. Bolshakova et al., Cross-sections of large-angle hadron production in proton– and
pion–nucleus interactions II: beryllium nuclei and beam momenta from ±3 GeV/c to
±15 GeV/c, Preprint CERN–PH–EP–2008–025 [arXiv:0903.2145], to be published in
Eur. Phys. J. C
[3] V. Ammosov et al., Nucl. Instrum. Methods Phys. Res. A588 (2008) 294
[4] V. Ammosov et al., Nucl. Instrum. Methods Phys. Res. A578 (2007) 119
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23
A PPENDIX A:
C ROSS - SECTION TABLES
Table A.1: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
protons in p + Ta → p + X interactions with +3.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.221
0.270
0.331
0.391
0.461
0.552
0.658
hθi
25.2
25.4
25.4
25.3
25.2
25.2
25.2
20 < θ < 30
d2 σ/dpdΩ
1003.26 ± 33.03
806.42 ± 24.05
601.76 ± 21.42
458.79 ± 18.45
345.97 ± 14.16
265.32 ± 10.84
193.54 ±
8.50
pT
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.331
0.392
0.462
0.552
0.663
0.811
hθi
45.1
45.1
45.1
45.2
45.0
45.0
40 < θ < 50
d2 σ/dpdΩ
1033.78 ± 24.63
823.20 ± 22.64
563.79 ± 17.15
408.29 ± 13.96
225.69 ±
9.62
108.66 ±
5.68
pT
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.555
0.668
0.814
hθi
67.2
67.0
67.2
60 < θ < 75
d2 σ/dpdΩ
424.37 ± 10.14 ±
245.16 ±
7.66 ±
99.16 ±
4.42 ±
pT
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.663
0.811
97.1
96.6
84.47
19.49
±
±
4.02
1.93
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
55.11
41.46
33.60
24.92
19.41
13.20
10.46
32.79
24.04
22.34
25.06
17.26
11.16
15.95
15.51
11.30
7.72
2.96
24
30 < θ < 40
d2 σ/dpdΩ
hpT i
hθi
0.272
0.331
0.390
0.459
0.551
0.658
0.806
35.0
35.0
35.1
35.2
35.1
35.3
35.4
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.392
0.462
0.554
0.663
0.810
55.1
55.0
55.0
55.1
55.1
862.94
704.63
421.73
237.13
110.47
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
0.664
0.809
81.7
81.8
170.86
65.97
hpT i
0.464
0.554
hθi
113.5
112.7
±
±
±
±
±
±
±
44.58
34.39
27.11
24.30
18.65
13.48
8.14
±
±
±
±
±
26.36
20.46
19.05
18.69
12.28
±
±
12.23
7.29
105 < θ < 125
d2 σ/dpdΩ
212.84 ±
6.74 ±
79.60 ±
3.90 ±
11.98
7.89
1018.58
893.51
649.01
483.57
346.54
202.39
101.59
±
±
±
±
±
±
±
±
±
±
±
±
±
±
26.98
23.89
21.31
16.57
12.57
8.93
5.20
21.83
18.18
13.41
9.97
5.75
5.72
3.34
Table A.2: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π + ’s in p + Ta → π + + X interactions with +3.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.117
0.146
0.182
0.220
0.272
0.329
0.390
0.462
0.551
0.658
hθi
24.7
24.6
25.0
24.9
25.3
25.3
24.9
25.5
25.7
25.4
20 < θ < 30
d2 σ/dpdΩ
104.14 ± 13.28 ±
177.45 ± 16.58 ±
175.91 ± 13.46 ±
171.46 ± 12.80 ±
146.16 ±
9.81 ±
101.17 ±
7.96 ±
65.53 ±
6.25 ±
39.68 ±
4.10 ±
22.01 ±
2.51 ±
13.43 ±
1.58 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.116
0.144
0.180
0.220
0.271
0.333
0.391
0.461
0.554
0.664
0.813
hθi
45.7
44.9
44.8
44.9
44.9
45.0
44.9
45.0
45.2
44.6
44.9
40 < θ < 50
d2 σ/dpdΩ
136.69 ± 16.41 ±
138.77 ± 13.21 ±
148.31 ± 11.98 ±
134.80 ± 11.15 ±
106.22 ±
8.17 ±
76.19 ±
6.93 ±
73.20 ±
6.76 ±
39.47 ±
4.37 ±
21.65 ±
2.72 ±
15.24 ±
1.98 ±
9.29 ±
1.17 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.145
0.180
0.220
0.271
0.329
0.393
0.465
0.547
0.671
0.800
1.057
hθi
67.0
66.8
66.9
66.9
66.9
66.8
67.3
66.6
66.2
66.5
66.6
60 < θ < 75
d2 σ/dpdΩ
158.00 ± 15.05 ±
145.47 ±
9.67 ±
118.76 ±
8.73 ±
82.08 ±
5.94 ±
53.33 ±
4.81 ±
45.09 ±
4.50 ±
24.89 ±
2.86 ±
16.32 ±
2.07 ±
5.83 ±
1.09 ±
4.00 ±
0.69 ±
0.57 ±
0.15 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.180
0.219
0.269
0.334
0.394
0.465
0.573
0.692
0.774
97.2
97.7
97.2
97.0
96.0
95.7
96.4
93.3
98.9
109.79
81.63
46.91
31.40
9.61
7.50
2.26
2.01
0.21
±
±
±
±
±
±
±
±
±
10.97
8.03
4.79
3.89
2.17
1.73
0.80
0.68
0.12
±
±
±
±
±
±
±
±
±
8.40
12.08
9.31
7.85
5.67
3.67
2.57
1.79
1.33
1.20
11.71
8.66
7.88
6.42
4.16
2.74
2.77
1.75
1.15
1.17
1.02
14.89
7.32
5.17
3.11
1.94
1.95
1.28
1.11
0.54
0.51
0.11
10.74
4.70
2.25
1.79
0.73
0.77
0.28
0.34
0.05
25
hpT i
0.116
0.144
0.181
0.220
0.268
0.330
0.390
0.460
0.552
0.664
0.807
hθi
34.9
35.1
35.0
34.8
35.1
34.6
35.3
35.0
35.2
34.8
35.1
30 < θ < 40
d2 σ/dpdΩ
132.51 ± 14.94 ±
105.39 ± 11.54 ±
163.67 ± 12.42 ±
164.56 ± 12.56 ±
130.84 ±
9.24 ±
101.57 ±
7.88 ±
75.72 ±
6.92 ±
49.06 ±
4.79 ±
25.52 ±
2.80 ±
16.34 ±
1.98 ±
8.90 ±
1.13 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.146
0.181
0.218
0.269
0.331
0.392
0.465
0.557
0.666
0.803
1.009
55.1
54.3
55.0
55.2
54.6
54.7
55.2
54.9
54.1
54.2
54.1
113.92
125.41
119.67
100.46
69.31
58.79
47.74
24.47
15.18
6.78
1.67
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
0.184
0.220
0.267
0.329
0.392
0.467
0.547
0.663
0.839
0.987
82.1
82.5
82.1
81.3
81.6
81.6
82.2
82.4
80.9
82.7
118.00
105.59
72.56
42.32
28.70
14.20
12.99
4.53
0.97
0.18
hpT i
0.145
0.178
0.221
0.263
0.330
0.386
0.456
0.552
hθi
114.8
114.5
114.1
113.0
113.6
112.0
109.4
112.1
±
±
±
±
±
±
±
±
±
±
±
10.56
6.75
8.79
7.56
5.13
3.62
2.82
2.09
1.39
1.29
1.11
±
±
±
±
±
±
±
±
±
±
±
7.37
6.49
5.62
3.92
2.54
2.46
2.26
1.45
1.22
0.76
0.29
±
±
±
±
±
±
±
±
±
±
10.65
5.34
3.73
2.47
1.67
1.03
1.22
0.53
0.15
0.05
105 < θ < 125
d2 σ/dpdΩ
133.66 ± 11.55 ±
89.93 ±
6.80 ±
56.70 ±
5.38 ±
19.30 ±
2.51 ±
12.43 ±
2.07 ±
6.55 ±
1.58 ±
4.07 ±
1.04 ±
1.75 ±
0.57 ±
8.58
3.54
2.34
1.01
0.90
0.66
0.51
0.30
±
±
±
±
±
±
±
±
±
±
12.28
10.96
10.75
7.95
6.66
6.21
4.89
3.03
2.12
1.10
0.31
10.74
8.85
5.96
4.61
3.74
2.27
1.97
1.02
0.33
0.08
Table A.3: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π − ’s in p + Ta → π − + X interactions with +3.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.115
0.145
0.179
0.217
0.268
0.330
0.390
0.451
0.525
0.658
hθi
24.9
24.6
25.0
25.8
25.0
25.7
25.0
26.0
26.1
25.6
20 < θ < 30
d2 σ/dpdΩ
129.88 ± 14.68 ±
158.29 ± 15.00 ±
139.70 ± 12.02 ±
112.64 ± 10.81 ±
77.11 ±
7.07 ±
51.53 ±
5.94 ±
20.83 ±
3.63 ±
14.13 ±
2.63 ±
6.85 ±
1.66 ±
2.78 ±
0.98 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.114
0.144
0.180
0.218
0.267
0.330
0.385
0.452
0.540
0.639
0.764
hθi
45.2
45.4
45.4
45.0
44.6
45.0
44.4
44.8
45.4
44.5
44.7
40 < θ < 50
d2 σ/dpdΩ
169.94 ± 17.86 ±
163.99 ± 14.85 ±
106.42 ±
9.79 ±
91.08 ±
9.29 ±
84.14 ±
7.09 ±
55.60 ±
5.80 ±
40.39 ±
4.99 ±
23.10 ±
3.31 ±
13.38 ±
2.27 ±
4.06 ±
1.17 ±
1.19 ±
0.49 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.143
0.179
0.217
0.264
0.325
0.385
0.449
0.531
0.634
0.786
0.998
hθi
67.0
67.0
66.8
66.7
67.1
66.7
67.2
66.4
65.6
65.4
65.3
60 < θ < 75
d2 σ/dpdΩ
149.70 ± 14.29 ±
110.86 ±
8.36 ±
102.08 ±
8.03 ±
55.53 ±
4.72 ±
47.02 ±
4.45 ±
32.57 ±
3.84 ±
20.05 ±
2.61 ±
10.12 ±
1.65 ±
4.47 ±
1.00 ±
1.40 ±
0.44 ±
0.35 ±
0.13 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
hpT i
0.146
0.179
0.216
0.265
0.326
0.385
0.449
0.530
0.635
hθi
96.9
97.8
97.4
97.4
96.3
96.9
97.2
96.8
97.2
90 < θ < 105
d2 σ/dpdΩ
264.67 ± 81.53 ±
100.65 ± 10.00 ±
74.89 ±
7.96 ±
32.73 ±
4.00 ±
22.52 ±
3.29 ±
10.64 ±
2.22 ±
8.49 ±
1.77 ±
2.14 ±
0.76 ±
0.45 ±
0.32 ±
9.98
10.43
7.89
5.80
3.31
2.44
1.10
0.91
0.59
0.32
14.14
10.62
5.88
4.70
3.32
2.09
1.75
1.19
0.95
0.42
0.17
11.27
5.40
4.46
2.03
1.78
1.64
1.21
0.78
0.47
0.21
0.08
117.96
7.52
5.52
1.76
1.46
0.84
0.90
0.31
0.11
26
hpT i
0.114
0.145
0.179
0.219
0.266
0.329
0.386
0.453
0.554
0.647
0.772
hθi
35.1
34.4
34.9
34.7
35.1
35.0
35.2
35.3
34.9
36.2
35.7
30 < θ < 40
d2 σ/dpdΩ
138.65 ± 14.80 ±
139.10 ± 13.51 ±
107.53 ±
9.93 ±
110.66 ± 10.30 ±
90.17 ±
7.55 ±
64.73 ±
6.33 ±
46.73 ±
5.34 ±
24.62 ±
3.46 ±
7.04 ±
1.66 ±
5.03 ±
1.26 ±
1.02 ±
0.51 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.146
0.178
0.219
0.267
0.326
0.384
0.452
0.546
0.649
0.765
0.952
54.6
54.5
54.8
54.7
54.4
55.5
54.0
55.9
55.7
54.6
53.2
134.35
120.78
88.78
68.63
53.86
37.30
25.25
10.92
7.16
2.58
0.10
±
±
±
±
±
±
±
±
±
±
±
8.83
6.47
4.24
2.78
2.06
1.66
1.46
0.77
0.73
0.35
0.02
hpT i
0.150
0.178
0.218
0.269
0.324
0.382
0.456
0.531
0.643
0.774
hθi
81.2
80.9
81.7
81.2
82.2
83.1
81.2
80.9
79.6
82.8
75 < θ < 90
d2 σ/dpdΩ
233.16 ± 37.59 ±
111.55 ± 10.58 ±
68.46 ±
7.03 ±
54.24 ±
5.16 ±
32.37 ±
4.01 ±
18.17 ±
2.96 ±
16.52 ±
2.41 ±
7.18 ±
1.41 ±
0.91 ±
0.46 ±
0.31 ±
0.22 ±
153.40
10.06
3.76
3.12
2.04
1.19
1.28
0.72
0.13
0.07
hpT i
0.144
0.177
0.219
0.264
0.323
0.377
0.466
0.553
0.616
hθi
114.0
114.1
114.5
112.3
111.7
114.8
112.4
110.9
106.7
105 < θ < 125
d2 σ/dpdΩ
114.60 ±
9.70 ±
67.91 ±
5.98 ±
45.71 ±
4.95 ±
18.78 ±
2.49 ±
11.53 ±
1.95 ±
7.76 ±
1.58 ±
2.86 ±
0.83 ±
0.86 ±
0.38 ±
0.40 ±
0.20 ±
5.99
2.80
2.37
1.06
0.91
0.81
0.39
0.18
0.15
±
±
±
±
±
±
±
±
±
±
±
13.70
10.45
8.95
6.57
5.78
4.83
3.58
2.03
1.60
0.75
0.08
10.97
9.17
5.97
5.43
3.61
2.53
2.11
1.37
0.52
0.54
0.17
Table A.4: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
protons in π + + Ta → p + X interactions with +3.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.221
0.269
0.329
0.391
0.459
0.548
0.657
hθi
25.4
25.3
25.5
25.5
25.6
25.5
25.4
20 < θ < 30
d2 σ/dpdΩ
1080.23 ± 25.48
835.17 ± 17.66
660.90 ± 15.88
474.29 ± 13.40
332.14 ±
9.83
230.57 ±
7.18
146.01 ±
5.20
pT
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.331
0.392
0.462
0.553
0.663
0.809
1.052
hθi
45.1
45.1
45.2
45.1
45.0
45.2
45.2
40 < θ < 50
d2 σ/dpdΩ
1061.21 ± 18.75
890.86 ± 17.38
656.16 ± 13.28
436.35 ± 10.11
258.72 ±
7.19
131.53 ±
4.28
27.45 ±
1.28
pT
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.555
0.667
0.816
1.062
hθi
67.4
67.4
67.2
67.2
60 < θ < 75
d2 σ/dpdΩ
508.18 ±
8.16
286.56 ±
5.92
125.46 ±
3.38
23.07 ±
1.03
pT
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.663
0.808
97.1
96.8
132.46
42.31
±
±
3.64
1.84
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
59.93
40.36
29.12
20.25
13.88
9.45
7.10
34.55
25.51
19.63
17.48
13.97
9.66
3.36
18.59
16.08
11.17
3.91
11.93
4.98
27
30 < θ < 40
d2 σ/dpdΩ
hpT i
hθi
0.271
0.330
0.390
0.460
0.549
0.659
0.803
34.9
35.2
35.2
35.3
35.3
35.3
35.2
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.391
0.462
0.553
0.663
0.810
1.051
55.2
55.0
55.0
55.0
55.0
55.2
931.12
752.30
508.84
291.74
129.63
27.64
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
0.665
0.812
81.8
81.5
219.70
90.32
hpT i
0.464
0.550
0.662
hθi
113.7
112.8
112.9
±
±
±
±
±
±
±
48.75
34.52
24.74
18.48
13.83
10.13
6.87
±
±
±
±
±
±
28.51
20.96
18.27
15.78
9.77
3.60
±
±
15.58
9.09
105 < θ < 125
d2 σ/dpdΩ
321.81 ±
6.13 ±
148.88 ±
3.74 ±
46.40 ±
2.10 ±
17.24
13.67
6.76
1106.28
916.42
690.93
520.88
348.17
203.02
106.33
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
20.05
17.78
15.92
12.20
8.95
6.23
3.64
16.89
13.80
10.54
7.64
4.20
1.31
4.76
2.73
Table A.5: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π + ’s in π + + Ta → π + + X interactions with +3.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.116
0.145
0.181
0.220
0.270
0.330
0.390
0.460
0.548
0.660
hθi
24.9
24.7
25.0
25.2
24.9
24.9
25.1
25.3
25.1
25.0
20 < θ < 30
d2 σ/dpdΩ
179.27 ± 12.88 ±
224.82 ± 13.81 ±
303.43 ± 13.25 ±
290.88 ± 12.44 ±
292.17 ± 10.22 ±
240.76 ±
9.13 ±
203.00 ±
8.40 ±
143.64 ±
6.01 ±
95.45 ±
4.19 ±
67.35 ±
3.27 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.115
0.145
0.180
0.221
0.270
0.331
0.391
0.463
0.553
0.665
0.809
hθi
45.1
44.8
45.0
45.2
44.8
44.9
44.7
44.8
44.8
44.6
44.6
40 < θ < 50
d2 σ/dpdΩ
210.79 ± 14.59 ±
227.31 ± 12.69 ±
226.16 ± 10.97 ±
195.21 ±
9.88 ±
192.67 ±
8.17 ±
178.82 ±
7.81 ±
150.14 ±
7.15 ±
124.08 ±
5.80 ±
89.94 ±
4.26 ±
60.53 ±
3.19 ±
26.52 ±
1.63 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.146
0.182
0.222
0.271
0.332
0.394
0.465
0.555
0.667
0.814
1.057
hθi
67.2
67.3
67.6
67.2
66.9
66.9
67.0
67.0
66.3
66.7
66.8
60 < θ < 75
d2 σ/dpdΩ
245.29 ± 13.37 ±
200.76 ±
8.45 ±
182.36 ±
8.00 ±
155.05 ±
6.04 ±
115.21 ±
5.24 ±
99.86 ±
4.97 ±
77.00 ±
3.76 ±
57.95 ±
2.92 ±
35.66 ±
2.07 ±
16.58 ±
1.11 ±
3.39 ±
0.29 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.181
0.221
0.269
0.332
0.393
0.465
0.550
0.673
0.805
1.042
98.1
98.0
97.4
97.0
97.0
96.5
96.9
96.8
96.5
94.4
177.78
168.72
109.90
60.96
48.69
38.59
21.01
6.92
2.82
0.17
±
±
±
±
±
±
±
±
±
±
9.55
8.73
5.45
4.02
3.62
2.86
1.80
0.89
0.41
0.04
±
±
±
±
±
±
±
±
±
±
13.97
15.15
16.27
12.87
10.92
7.82
6.80
5.54
5.10
5.57
16.77
13.80
11.67
8.87
7.15
5.80
4.86
4.93
4.24
4.26
2.78
20.12
9.91
7.60
5.52
3.83
4.02
3.68
3.68
3.10
1.99
0.63
12.57
10.50
5.39
3.22
3.27
3.50
2.26
0.98
0.55
0.06
28
hpT i
0.115
0.146
0.181
0.220
0.270
0.331
0.390
0.461
0.549
0.661
0.803
hθi
35.2
34.9
34.8
34.8
34.7
35.0
34.9
34.9
34.7
35.0
34.9
30 < θ < 40
d2 σ/dpdΩ
205.87 ± 13.25 ±
176.48 ± 11.15 ±
211.70 ± 10.38 ±
233.79 ± 11.05 ±
246.78 ±
9.33 ±
217.57 ±
8.56 ±
182.18 ±
7.91 ±
139.90 ±
5.99 ±
96.57 ±
4.22 ±
65.95 ±
3.15 ±
35.15 ±
1.86 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.145
0.180
0.220
0.272
0.331
0.390
0.463
0.553
0.665
0.804
1.050
55.2
54.9
54.8
54.7
54.8
55.0
54.8
54.9
54.7
54.7
54.7
209.81
240.62
184.29
165.95
156.16
125.57
103.41
77.05
54.31
25.19
6.56
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
0.182
0.221
0.271
0.332
0.394
0.465
0.556
0.665
0.812
1.081
81.9
81.8
82.1
82.0
81.9
82.0
81.5
81.4
81.5
81.8
203.35
176.41
128.06
93.11
64.40
52.04
40.97
20.83
7.48
1.59
hpT i
0.146
0.180
0.220
0.270
0.331
0.394
0.464
0.554
0.665
0.818
hθi
115.1
114.7
113.9
114.2
114.3
113.4
112.5
112.7
112.0
112.2
±
±
±
±
±
±
±
±
±
±
±
15.63
10.93
11.10
10.42
9.35
6.98
5.76
5.06
4.66
4.77
4.17
±
±
±
±
±
±
±
±
±
±
±
13.16
12.09
8.16
5.99
5.12
4.75
4.46
4.12
3.99
2.66
1.06
±
±
±
±
±
±
±
±
±
±
15.27
9.48
6.91
5.45
3.46
3.44
3.58
2.22
1.05
0.36
105 < θ < 125
d2 σ/dpdΩ
207.22 ± 10.40 ±
154.18 ±
6.58 ±
112.63 ±
5.57 ±
61.23 ±
3.23 ±
39.40 ±
2.68 ±
35.26 ±
2.65 ±
16.61 ±
1.51 ±
7.27 ±
0.87 ±
1.91 ±
0.36 ±
0.19 ±
0.06 ±
11.75
5.74
4.05
2.65
2.38
2.99
1.75
1.02
0.38
0.06
±
±
±
±
±
±
±
±
±
±
12.41
11.29
9.74
7.46
7.38
6.78
5.34
4.08
3.08
1.67
0.51
10.24
8.57
5.94
5.12
4.14
3.24
2.60
1.63
0.72
0.19
Table A.6: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π − ’s in π + + Ta → π − + X interactions with +3.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.115
0.144
0.180
0.220
0.268
0.327
0.385
0.456
0.541
0.644
hθi
24.9
25.3
25.1
24.9
25.2
25.1
25.4
25.3
25.3
25.3
20 < θ < 30
d2 σ/dpdΩ
212.60 ± 13.59 ±
207.46 ± 12.50 ±
261.45 ± 12.08 ±
253.62 ± 11.72 ±
194.95 ±
8.38 ±
164.85 ±
7.83 ±
111.56 ±
6.22 ±
79.76 ±
4.63 ±
44.68 ±
3.08 ±
22.77 ±
2.04 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.115
0.144
0.179
0.218
0.266
0.326
0.385
0.453
0.536
0.646
0.781
hθi
45.3
45.0
45.0
45.0
44.8
45.0
44.9
44.8
45.0
44.8
44.6
40 < θ < 50
d2 σ/dpdΩ
262.44 ± 15.55 ±
224.32 ± 12.65 ±
194.47 ±
9.68 ±
196.73 ± 10.14 ±
160.11 ±
7.28 ±
143.74 ±
6.94 ±
102.88 ±
5.93 ±
81.96 ±
4.63 ±
44.21 ±
3.05 ±
29.45 ±
2.34 ±
9.05 ±
1.02 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.145
0.178
0.218
0.265
0.326
0.383
0.451
0.535
0.640
0.771
0.983
hθi
67.2
67.3
67.5
67.1
67.2
67.2
67.1
67.6
67.2
67.4
65.9
60 < θ < 75
d2 σ/dpdΩ
250.72 ± 13.07 ±
177.06 ±
7.93 ±
156.50 ±
7.47 ±
105.76 ±
4.84 ±
86.15 ±
4.47 ±
73.51 ±
4.27 ±
58.30 ±
3.30 ±
34.36 ±
2.25 ±
15.36 ±
1.37 ±
5.54 ±
0.65 ±
1.10 ±
0.18 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.178
0.217
0.264
0.321
0.381
0.452
0.533
0.635
0.765
1.052
98.2
97.3
97.3
97.4
97.5
96.9
96.4
97.3
97.4
97.4
184.45
122.72
72.61
42.95
32.78
27.34
16.03
5.11
0.92
0.05
±
±
±
±
±
±
±
±
±
±
11.40
7.37
4.41
3.40
2.93
2.39
1.57
0.78
0.22
0.03
±
±
±
±
±
±
±
±
±
±
16.32
13.17
13.98
11.83
7.29
6.21
3.90
3.40
2.55
1.80
20.73
14.06
10.31
9.74
5.84
4.68
3.63
3.45
2.52
2.42
1.00
16.69
8.39
6.67
3.60
2.97
3.29
3.13
2.35
1.40
0.69
0.22
19.79
7.53
3.57
2.65
2.39
2.70
1.93
0.82
0.22
0.02
29
hpT i
0.114
0.144
0.180
0.220
0.268
0.328
0.387
0.454
0.543
0.647
0.789
hθi
35.3
35.0
35.0
34.9
35.0
35.0
35.1
34.9
34.9
34.6
35.2
30 < θ < 40
d2 σ/dpdΩ
218.69 ± 13.15 ±
212.85 ± 12.17 ±
204.29 ± 10.19 ±
223.18 ± 10.81 ±
183.24 ±
7.94 ±
147.08 ±
7.08 ±
109.17 ±
6.03 ±
81.87 ±
4.65 ±
53.64 ±
3.39 ±
22.87 ±
1.97 ±
8.80 ±
1.06 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.145
0.179
0.218
0.268
0.326
0.385
0.453
0.540
0.646
0.788
0.995
55.1
54.6
55.1
54.6
54.7
54.8
54.6
54.6
54.8
54.8
54.6
248.91
173.88
150.80
142.20
111.67
89.01
77.58
39.86
19.32
7.74
1.55
±
±
±
±
±
±
±
±
±
±
±
15.83
8.99
6.78
5.49
3.72
3.27
3.87
2.35
1.64
0.88
0.29
hpT i
0.147
0.180
0.218
0.265
0.323
0.384
0.453
0.537
0.639
0.761
0.973
hθi
81.3
81.9
82.3
82.2
81.7
82.1
81.8
81.4
82.2
81.5
81.2
75 < θ < 90
d2 σ/dpdΩ
232.77 ± 30.80 ±
215.18 ± 11.16 ±
143.43 ±
7.69 ±
90.71 ±
5.01 ±
71.50 ±
4.47 ±
48.88 ±
3.66 ±
39.42 ±
2.81 ±
23.84 ±
1.92 ±
9.84 ±
1.09 ±
3.59 ±
0.51 ±
0.28 ±
0.07 ±
78.08
21.35
7.36
5.23
4.53
3.12
2.85
2.11
1.12
0.56
0.08
hpT i
0.143
0.177
0.217
0.266
0.324
0.384
0.447
0.532
0.642
0.806
hθi
113.9
114.6
113.8
114.4
114.8
113.6
114.1
111.5
111.6
112.8
105 < θ < 125
d2 σ/dpdΩ
224.68 ± 26.89 ±
119.46 ±
5.88 ±
73.48 ±
4.71 ±
46.32 ±
2.88 ±
29.57 ±
2.31 ±
19.64 ±
1.89 ±
12.84 ±
1.30 ±
4.03 ±
0.61 ±
1.54 ±
0.30 ±
0.17 ±
0.08 ±
13.61
4.58
3.54
2.33
2.09
1.85
1.57
0.67
0.37
0.06
±
±
±
±
±
±
±
±
±
±
±
13.81
9.29
8.64
6.93
6.12
5.49
4.65
2.84
1.91
0.95
0.25
17.04
13.52
10.76
10.26
6.73
4.77
3.76
3.47
2.99
1.72
0.95
Table A.7: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
protons in π − + Ta → p + X interactions with −3.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.220
0.269
0.328
0.389
0.458
0.546
0.652
hθi
25.3
25.5
25.3
25.4
25.4
25.6
25.7
20 < θ < 30
d2 σ/dpdΩ
858.52 ± 27.63 ±
739.97 ± 20.06 ±
564.01 ± 17.63 ±
391.13 ± 14.80 ±
284.31 ± 10.68 ±
200.78 ±
8.21 ±
119.51 ±
5.71 ±
pT
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.329
0.388
0.458
0.546
0.656
0.795
1.039
hθi
45.1
45.2
45.1
45.2
45.2
45.1
45.1
40 < θ < 50
d2 σ/dpdΩ
954.12 ± 21.69 ±
818.51 ± 20.17 ±
577.81 ± 14.97 ±
399.89 ± 11.53 ±
244.70 ±
8.39 ±
105.00 ±
4.42 ±
26.50 ±
1.57 ±
pT
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.541
0.649
0.790
1.018
hθi
67.7
67.4
67.0
66.6
60 < θ < 75
d2 σ/dpdΩ
440.45 ±
9.25 ±
250.36 ±
6.70 ±
107.39 ±
3.71 ±
20.10 ±
1.10 ±
pT
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.648
0.789
97.5
97.4
117.27
40.90
±
±
4.19
2.22
±
±
hpT i
hθi
30 < θ < 40
d2 σ/dpdΩ
0.271
0.329
0.389
0.458
0.546
0.657
0.799
35.1
35.2
35.3
35.3
35.3
35.1
35.0
953.68
803.47
629.02
457.96
301.99
178.74
84.25
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.389
0.458
0.545
0.654
0.799
1.026
55.3
55.2
55.0
55.1
55.0
55.1
821.62
633.88
426.34
264.32
114.35
24.20
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
24.97
24.44
16.85
5.37
0.647
0.789
1.014
81.9
82.0
81.4
200.69
73.84
10.45
19.95
9.14
hpT i
0.457
0.539
0.648
0.781
hθi
114.4
113.0
112.9
112.6
82.96
61.03
37.86
20.94
11.62
7.64
6.52
41.81
26.76
16.06
16.12
16.17
11.05
4.85
30
±
±
±
±
±
±
±
±
±
±
±
±
±
±
71.38
47.24
28.29
15.45
11.01
10.40
8.29
±
±
±
±
±
±
26.24
19.47
20.55
20.46
13.33
4.76
±
±
±
26.63
14.17
3.20
105 < θ < 125
d2 σ/dpdΩ
277.17 ±
7.03 ±
133.33 ±
4.30 ±
54.35 ±
2.67 ±
11.92 ±
1.13 ±
25.58
23.11
14.85
5.00
±
±
±
±
±
±
±
±
±
22.82
20.45
18.41
13.75
10.00
6.97
3.92
19.31
15.28
11.56
8.70
4.65
1.45
5.61
2.95
0.81
Table A.8: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π + ’s in π − + Ta → π + + X interactions with −3.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.116
0.145
0.180
0.219
0.269
0.331
0.389
0.460
0.544
0.657
hθi
24.8
25.0
25.3
25.1
25.1
25.1
25.1
25.1
25.0
25.4
20 < θ < 30
d2 σ/dpdΩ
187.11 ± 15.88 ±
191.81 ± 15.20 ±
207.74 ± 12.55 ±
221.54 ± 13.27 ±
211.10 ± 10.49 ±
174.07 ±
9.45 ±
121.61 ±
7.80 ±
83.54 ±
5.51 ±
61.91 ±
4.21 ±
29.53 ±
2.45 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.115
0.145
0.180
0.220
0.270
0.330
0.391
0.456
0.547
0.650
0.799
hθi
44.9
44.7
45.5
44.9
44.7
45.0
44.9
45.1
44.7
44.3
44.9
40 < θ < 50
d2 σ/dpdΩ
207.70 ± 17.97 ±
166.64 ± 12.86 ±
165.52 ± 10.94 ±
160.05 ± 10.53 ±
144.89 ±
8.53 ±
131.13 ±
8.16 ±
103.82 ±
7.16 ±
88.21 ±
5.93 ±
49.00 ±
3.79 ±
26.20 ±
2.41 ±
13.26 ±
1.33 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.146
0.180
0.219
0.269
0.328
0.389
0.457
0.543
0.648
0.796
1.023
hθi
67.3
66.8
67.5
67.0
67.0
67.2
67.2
66.3
67.0
67.1
66.6
60 < θ < 75
d2 σ/dpdΩ
166.02 ± 13.12 ±
170.09 ±
9.49 ±
144.14 ±
8.73 ±
100.88 ±
5.86 ±
89.91 ±
5.65 ±
72.44 ±
4.99 ±
51.94 ±
3.77 ±
34.12 ±
2.61 ±
16.08 ±
1.59 ±
8.34 ±
0.90 ±
1.34 ±
0.20 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.149
0.179
0.218
0.268
0.325
0.389
0.455
0.545
0.646
0.788
0.999
hθi
98.0
98.0
97.1
97.3
97.4
97.0
96.8
97.6
96.3
96.9
99.2
90 < θ < 105
d2 σ/dpdΩ
109.74 ± 17.20 ±
133.60 ± 10.43 ±
121.50 ±
8.71 ±
82.34 ±
5.75 ±
49.53 ±
4.35 ±
42.08 ±
3.85 ±
23.82 ±
2.59 ±
13.99 ±
1.79 ±
5.98 ±
0.97 ±
0.79 ±
0.23 ±
0.14 ±
0.05 ±
21.39
19.04
16.73
15.57
11.19
6.78
4.22
3.83
4.67
3.41
24.27
15.62
13.13
10.53
7.29
4.91
3.64
4.61
3.73
3.01
2.30
17.25
12.86
8.75
4.37
3.58
3.36
3.85
3.68
2.51
1.87
0.47
29.49
12.53
6.55
4.28
3.47
4.24
3.46
2.85
1.63
0.30
0.09
31
hpT i
0.116
0.144
0.180
0.221
0.269
0.330
0.389
0.458
0.549
0.656
0.798
hθi
35.2
35.2
34.9
34.7
35.2
34.4
34.9
34.7
35.1
34.4
34.6
30 < θ < 40
d2 σ/dpdΩ
202.30 ± 15.75 ±
169.53 ± 13.10 ±
178.16 ± 11.29 ±
199.42 ± 12.65 ±
172.68 ±
9.31 ±
145.10 ±
8.43 ±
114.74 ±
7.48 ±
94.51 ±
5.89 ±
55.24 ±
4.02 ±
27.97 ±
2.36 ±
14.17 ±
1.38 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.146
0.179
0.222
0.267
0.330
0.389
0.458
0.545
0.653
0.792
1.028
55.0
55.0
54.9
54.8
54.6
54.9
55.0
54.8
55.0
54.7
54.8
158.29
180.95
117.54
118.33
96.20
93.92
74.54
48.94
29.29
11.62
2.63
±
±
±
±
±
±
±
±
±
±
±
14.62
13.73
7.33
5.45
3.48
3.95
4.33
4.31
3.72
2.16
0.78
hpT i
0.148
0.181
0.218
0.269
0.325
0.390
0.456
0.539
0.648
0.792
0.980
hθi
82.0
81.6
81.8
82.0
81.9
81.6
81.8
82.0
81.6
81.4
80.9
75 < θ < 90
d2 σ/dpdΩ
154.52 ± 28.69 ±
165.04 ± 11.77 ±
112.47 ±
8.06 ±
109.60 ±
6.72 ±
67.37 ±
5.33 ±
46.84 ±
4.33 ±
32.55 ±
2.99 ±
27.01 ±
2.45 ±
12.89 ±
1.55 ±
3.77 ±
0.60 ±
0.44 ±
0.10 ±
54.88
18.59
6.48
6.30
4.62
3.65
3.18
3.78
2.53
1.02
0.19
hpT i
0.144
0.179
0.219
0.265
0.326
0.386
0.453
0.545
0.638
0.772
hθi
115.1
114.6
114.4
113.5
114.3
113.4
112.6
114.1
111.7
114.0
105 < θ < 125
d2 σ/dpdΩ
163.50 ± 11.25 ±
112.59 ±
7.04 ±
71.80 ±
5.38 ±
45.14 ±
3.47 ±
26.73 ±
2.62 ±
17.47 ±
2.23 ±
12.62 ±
1.58 ±
4.99 ±
0.82 ±
1.19 ±
0.28 ±
0.45 ±
0.16 ±
11.50
4.65
2.98
2.91
2.80
2.61
2.53
1.34
0.45
0.23
±
±
±
±
±
±
±
±
±
±
±
12.96
11.66
9.04
7.58
6.94
7.01
5.41
3.91
2.59
1.31
0.36
22.25
15.98
14.14
14.22
8.53
5.29
3.88
4.24
4.10
3.16
2.52
Table A.9: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π − ’s in π − + Ta → π − + X interactions with −3.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.116
0.146
0.179
0.220
0.270
0.330
0.390
0.458
0.548
0.653
hθi
24.4
25.1
24.7
24.9
25.2
25.3
25.4
25.1
25.1
25.1
20 < θ < 30
d2 σ/dpdΩ
270.77 ± 18.51 ±
368.02 ± 21.48 ±
391.34 ± 18.20 ±
398.28 ± 17.90 ±
334.52 ± 13.52 ±
276.31 ± 12.33 ±
190.82 ± 10.15 ±
148.68 ±
7.69 ±
76.93 ±
4.93 ±
51.06 ±
3.84 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.115
0.145
0.180
0.220
0.270
0.328
0.387
0.456
0.547
0.660
0.797
hθi
45.4
45.2
45.3
44.9
45.1
44.8
44.6
44.8
45.2
45.3
44.8
40 < θ < 50
d2 σ/dpdΩ
424.11 ± 26.18 ±
345.99 ± 19.87 ±
292.53 ± 15.25 ±
296.61 ± 15.15 ±
262.35 ± 11.74 ±
233.62 ± 10.97 ±
169.73 ±
9.31 ±
144.27 ±
7.66 ±
102.83 ±
5.73 ±
60.93 ±
4.11 ±
29.23 ±
2.32 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.146
0.180
0.219
0.270
0.330
0.391
0.458
0.551
0.652
0.806
1.022
hθi
67.2
67.3
66.9
66.8
67.3
66.6
67.0
66.5
66.9
67.3
66.3
60 < θ < 75
d2 σ/dpdΩ
360.65 ± 20.43 ±
316.17 ± 13.63 ±
227.52 ± 10.98 ±
180.06 ±
8.02 ±
135.26 ±
7.09 ±
116.99 ±
6.49 ±
92.06 ±
5.13 ±
61.50 ±
3.69 ±
37.16 ±
2.68 ±
16.81 ±
1.44 ±
2.16 ±
0.31 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.181
0.218
0.267
0.328
0.390
0.460
0.545
0.655
0.786
0.991
97.9
97.8
97.3
97.1
97.1
97.2
97.2
96.3
96.1
95.5
265.44
142.91
114.71
74.54
60.55
41.54
19.23
8.00
2.29
0.13
±
±
±
±
±
±
±
±
±
±
15.04
9.44
7.04
5.53
4.93
3.60
2.12
1.18
0.42
0.05
±
±
±
±
±
±
±
±
±
±
30.56
36.87
31.77
25.28
15.47
9.27
6.73
8.31
6.95
7.03
50.06
33.40
23.47
19.04
11.78
7.24
6.09
8.48
9.53
8.48
5.91
38.31
22.01
11.86
6.71
5.19
5.82
7.35
7.13
6.16
3.89
0.76
24.15
6.67
7.21
6.07
7.03
6.82
4.27
2.38
0.94
0.08
32
hpT i
0.114
0.146
0.181
0.220
0.270
0.329
0.388
0.457
0.546
0.653
0.799
hθi
34.9
34.7
34.9
34.9
34.9
35.1
34.9
35.0
34.9
35.0
35.3
30 < θ < 40
d2 σ/dpdΩ
330.03 ± 20.73 ±
316.66 ± 18.26 ±
322.45 ± 15.93 ±
368.95 ± 17.07 ±
322.74 ± 12.90 ±
254.73 ± 11.49 ±
198.33 ± 10.14 ±
149.19 ±
7.66 ±
82.30 ±
5.02 ±
61.12 ±
4.08 ±
29.16 ±
2.41 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.145
0.179
0.219
0.269
0.330
0.389
0.458
0.547
0.655
0.795
1.030
55.3
54.9
55.0
54.8
55.0
55.1
54.5
54.7
55.1
54.5
55.1
279.17
271.30
239.20
221.53
177.80
149.56
126.28
78.12
42.25
18.41
3.92
±
±
±
±
±
±
±
±
±
±
±
26.28
20.74
14.55
9.52
5.89
6.27
8.12
7.59
6.10
3.81
1.26
hpT i
0.145
0.180
0.220
0.268
0.330
0.390
0.463
0.545
0.656
0.798
1.031
hθi
81.1
81.8
82.1
81.7
82.2
81.5
81.8
82.0
82.0
80.9
81.5
75 < θ < 90
d2 σ/dpdΩ
396.47 ± 79.47 ±
319.21 ± 17.52 ±
193.01 ± 11.00 ±
131.11 ±
7.28 ±
119.64 ±
7.12 ±
88.07 ±
6.01 ±
64.14 ±
4.46 ±
44.25 ±
3.24 ±
19.57 ±
1.97 ±
6.53 ±
0.84 ±
1.14 ±
0.20 ±
149.22
35.25
10.65
6.16
7.93
7.20
7.28
6.82
4.12
1.88
0.50
hpT i
0.142
0.178
0.219
0.268
0.327
0.391
0.458
0.537
0.640
0.784
hθi
113.1
114.3
113.9
114.1
113.3
114.0
112.7
112.0
112.4
108.5
105 < θ < 125
d2 σ/dpdΩ
383.64 ± 50.84 ±
181.68 ±
9.27 ±
106.45 ±
6.86 ±
67.13 ±
4.31 ±
42.60 ±
3.43 ±
28.15 ±
2.80 ±
18.85 ±
1.95 ±
7.01 ±
1.03 ±
1.38 ±
0.38 ±
0.24 ±
0.11 ±
33.04
7.41
5.06
5.11
5.21
4.81
4.29
2.12
0.55
0.13
±
±
±
±
±
±
±
±
±
±
±
18.18
14.37
13.79
10.78
9.77
9.02
7.21
4.96
3.44
1.85
0.54
37.62
30.47
25.79
23.59
14.73
7.99
6.70
7.89
7.08
7.95
5.62
Table A.10: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
protons in p + Ta → p + X interactions with +5.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.221
0.269
0.329
0.389
0.458
0.546
0.655
hθi
25.1
25.3
25.4
25.4
25.3
25.3
25.3
20 < θ < 30
d2 σ/dpdΩ
1423.27 ± 32.37
1164.94 ± 22.95
902.05 ± 20.41
690.09 ± 17.95
515.66 ± 13.51
364.88 ± 10.03
240.75 ±
7.33
pT
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.331
0.392
0.462
0.553
0.664
0.812
1.057
hθi
45.1
45.2
45.1
45.1
45.1
45.1
44.9
40 < θ < 50
d2 σ/dpdΩ
1332.60 ± 22.94
1123.91 ± 21.47
836.53 ± 16.71
551.17 ± 12.76
349.73 ±
9.45
189.80 ±
5.79
55.63 ±
2.18
pT
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.551
0.662
0.809
hθi
67.5
67.1
66.9
60 < θ < 75
d2 σ/dpdΩ
621.69 ±
9.87 ±
375.29 ±
7.52 ±
143.80 ±
4.06 ±
pT
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.660
0.802
97.4
97.1
152.77
42.75
±
±
4.33
2.19
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
80.07
57.39
43.52
31.57
24.54
17.17
12.27
41.93
32.02
29.07
28.77
22.83
15.90
6.27
22.81
21.96
14.27
13.80
5.68
33
30 < θ < 40
d2 σ/dpdΩ
hpT i
hθi
0.271
0.329
0.389
0.458
0.546
0.656
0.800
34.9
35.1
35.1
35.2
35.2
35.3
35.2
hpT i
hθi
0.391
0.462
0.553
0.664
0.812
1.045
55.1
55.0
55.1
55.0
55.1
55.0
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
0.659
0.808
81.6
81.5
261.32
93.54
hpT i
0.462
0.549
0.661
hθi
113.7
112.7
113.1
±
±
±
±
±
±
±
58.24
46.64
36.12
29.78
24.18
17.88
11.89
±
±
±
±
±
±
34.52
26.15
25.29
24.36
16.84
6.19
±
±
18.62
9.83
105 < θ < 125
d2 σ/dpdΩ
304.84 ±
6.60 ±
137.44 ±
4.05 ±
50.76 ±
2.57 ±
16.30
12.98
8.07
1334.11
1237.17
951.98
683.50
512.08
305.07
170.04
±
±
±
±
±
±
±
24.05
22.78
20.58
15.55
12.19
8.54
5.16
50 < θ < 60
d2 σ/dpdΩ
1194.50
934.03
628.81
368.16
187.05
44.52
±
±
±
±
±
±
±
±
22.21
16.88
12.98
9.66
5.81
2.00
5.69
3.11
Table A.11: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π + ’s in p + Ta → π + + X interactions with +5.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.116
0.146
0.180
0.221
0.270
0.328
0.388
0.459
0.548
0.654
hθi
24.8
24.8
24.8
24.8
25.0
24.8
24.9
25.0
24.9
24.9
20 < θ < 30
d2 σ/dpdΩ
234.34 ± 16.47 ±
280.35 ± 15.94 ±
334.26 ± 14.64 ±
349.03 ± 14.65 ±
311.82 ± 11.34 ±
240.48 ±
9.85 ±
181.28 ±
8.42 ±
134.61 ±
6.23 ±
86.36 ±
4.12 ±
48.24 ±
2.57 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.116
0.145
0.181
0.221
0.271
0.332
0.392
0.462
0.551
0.661
0.805
hθi
45.1
45.1
45.1
44.8
44.6
44.8
44.7
44.8
44.7
44.7
44.5
40 < θ < 50
d2 σ/dpdΩ
245.87 ± 16.66 ±
266.90 ± 15.47 ±
237.75 ± 11.92 ±
226.65 ± 11.77 ±
191.81 ±
8.82 ±
168.55 ±
8.23 ±
150.90 ±
7.93 ±
98.84 ±
5.55 ±
63.98 ±
3.82 ±
41.04 ±
2.71 ±
19.21 ±
1.37 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.146
0.181
0.220
0.270
0.331
0.392
0.461
0.550
0.659
0.813
1.051
hθi
67.2
67.4
67.0
67.3
67.3
66.7
67.2
67.0
66.4
65.9
66.4
60 < θ < 75
d2 σ/dpdΩ
239.90 ± 13.76 ±
197.82 ±
9.15 ±
177.38 ±
8.57 ±
144.03 ±
6.38 ±
102.16 ±
5.54 ±
86.44 ±
5.04 ±
56.45 ±
3.47 ±
41.12 ±
2.67 ±
20.04 ±
1.67 ±
8.92 ±
0.83 ±
2.40 ±
0.26 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.180
0.220
0.269
0.330
0.391
0.463
0.552
0.655
0.810
1.044
97.8
98.2
97.4
97.5
97.3
97.3
97.4
97.8
94.4
97.5
189.46
135.03
97.53
46.45
32.82
19.81
13.28
5.10
1.67
0.21
±
±
±
±
±
±
±
±
±
±
11.28
8.03
5.56
3.81
3.29
2.16
1.56
0.79
0.35
0.06
±
±
±
±
±
±
±
±
±
±
19.28
16.73
16.82
15.11
11.42
7.84
5.99
5.51
4.61
3.82
18.86
15.96
12.04
10.01
6.91
5.33
5.02
3.76
3.06
2.83
1.96
15.35
9.74
7.38
5.21
4.18
3.63
2.65
2.65
1.80
1.08
0.45
17.21
5.81
4.56
2.40
2.34
1.68
1.46
0.74
0.34
0.07
34
hpT i
0.115
0.146
0.180
0.220
0.269
0.330
0.388
0.457
0.548
0.653
0.803
hθi
35.0
35.0
34.7
34.6
34.8
34.8
34.9
34.6
34.6
34.8
34.7
30 < θ < 40
d2 σ/dpdΩ
265.93 ± 16.76 ±
264.70 ± 14.96 ±
256.75 ± 12.38 ±
257.50 ± 12.62 ±
244.86 ±
9.85 ±
212.65 ±
9.31 ±
170.29 ±
8.32 ±
118.03 ±
5.87 ±
84.81 ±
4.30 ±
47.07 ±
2.74 ±
22.77 ±
1.38 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.145
0.181
0.220
0.270
0.332
0.390
0.461
0.549
0.664
0.811
1.046
54.8
55.0
54.5
54.7
54.6
55.0
54.6
54.8
54.6
54.8
54.2
235.34
211.86
198.49
169.82
136.25
103.56
76.09
50.56
33.30
16.61
4.87
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
0.181
0.221
0.269
0.331
0.390
0.464
0.553
0.656
0.808
1.047
81.9
81.6
81.7
82.0
81.7
82.2
81.6
81.6
81.0
81.1
192.21
155.22
120.54
68.20
50.36
33.48
22.99
12.80
2.85
0.83
hpT i
0.146
0.179
0.218
0.271
0.333
0.391
0.458
0.557
0.678
0.800
hθi
114.8
114.5
114.1
113.9
113.5
114.1
113.4
110.7
109.4
114.0
±
±
±
±
±
±
±
±
±
±
±
20.16
15.88
12.94
11.19
8.73
6.69
5.32
4.20
4.20
3.41
2.56
±
±
±
±
±
±
±
±
±
±
±
14.67
10.61
8.65
6.11
4.66
3.92
3.23
2.75
2.49
1.71
0.80
±
±
±
±
±
±
±
±
±
±
14.62
8.38
6.16
3.45
2.51
2.43
1.91
1.39
0.41
0.19
105 < θ < 125
d2 σ/dpdΩ
213.68 ± 11.93 ±
126.49 ±
6.51 ±
83.79 ±
5.15 ±
50.79 ±
3.40 ±
25.85 ±
2.42 ±
15.97 ±
1.89 ±
8.37 ±
1.18 ±
3.92 ±
0.68 ±
0.46 ±
0.20 ±
0.35 ±
0.12 ±
14.31
4.81
3.18
2.39
1.66
1.36
0.92
0.57
0.09
0.11
±
±
±
±
±
±
±
±
±
±
14.27
11.05
10.86
8.25
7.53
6.69
4.90
3.54
2.54
1.35
0.46
11.02
8.76
6.23
4.63
3.93
2.87
2.06
1.37
0.48
0.14
Table A.12: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π − ’s in p + Ta → π − + X interactions with +5.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.116
0.145
0.180
0.220
0.268
0.328
0.389
0.457
0.547
0.653
hθi
25.1
25.0
25.1
25.2
25.1
25.1
25.2
25.2
25.1
25.3
20 < θ < 30
d2 σ/dpdΩ
284.21 ± 17.26 ±
289.02 ± 16.62 ±
341.41 ± 15.03 ±
327.09 ± 14.11 ±
237.95 ±
9.88 ±
165.71 ±
8.35 ±
121.03 ±
7.04 ±
66.68 ±
4.56 ±
45.52 ±
3.34 ±
19.98 ±
2.01 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.113
0.144
0.178
0.218
0.268
0.328
0.386
0.452
0.539
0.646
0.775
hθi
45.0
45.0
45.1
44.8
45.0
44.8
44.9
44.9
44.7
45.2
44.4
40 < θ < 50
d2 σ/dpdΩ
329.91 ± 19.10 ±
260.53 ± 14.72 ±
227.54 ± 11.65 ±
230.00 ± 11.94 ±
191.77 ±
8.89 ±
143.55 ±
7.64 ±
106.92 ±
6.68 ±
81.81 ±
5.05 ±
42.77 ±
3.22 ±
25.31 ±
2.28 ±
11.69 ±
1.28 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.145
0.179
0.218
0.267
0.326
0.386
0.454
0.537
0.641
0.786
0.992
hθi
67.2
67.3
67.3
67.2
67.0
66.9
67.0
66.8
66.0
67.1
66.7
60 < θ < 75
d2 σ/dpdΩ
308.63 ± 15.31 ±
224.57 ±
9.84 ±
157.42 ±
7.87 ±
137.30 ±
6.16 ±
93.18 ±
5.19 ±
67.92 ±
4.40 ±
52.88 ±
3.34 ±
28.35 ±
2.22 ±
14.55 ±
1.45 ±
7.44 ±
0.85 ±
0.72 ±
0.17 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.178
0.218
0.264
0.326
0.389
0.452
0.540
0.649
0.767
0.987
98.5
97.4
97.1
97.4
97.7
97.0
96.2
97.1
96.7
93.4
214.52
123.21
73.14
38.70
36.71
18.17
9.22
2.75
1.02
0.09
±
±
±
±
±
±
±
±
±
±
11.63
7.58
4.72
3.44
3.47
2.03
1.34
0.62
0.27
0.05
±
±
±
±
±
±
±
±
±
±
21.71
19.22
18.14
14.00
8.36
5.60
4.14
2.75
2.57
1.58
25.73
16.04
11.82
10.79
7.08
4.66
3.81
3.44
2.44
2.02
1.31
18.71
10.54
6.30
4.89
3.55
2.76
2.67
1.94
1.35
0.94
0.14
14.76
5.08
3.14
2.19
2.94
1.69
1.18
0.46
0.25
0.04
35
hpT i
0.115
0.145
0.179
0.220
0.269
0.328
0.387
0.456
0.542
0.650
0.793
hθi
35.2
34.8
34.9
34.6
35.0
35.0
34.9
34.9
34.7
35.4
35.1
30 < θ < 40
d2 σ/dpdΩ
328.76 ± 18.71 ±
290.86 ± 15.71 ±
273.45 ± 12.90 ±
257.39 ± 12.33 ±
215.71 ±
9.35 ±
168.52 ±
8.24 ±
125.41 ±
7.17 ±
84.79 ±
5.21 ±
50.24 ±
3.52 ±
24.74 ±
2.22 ±
12.77 ±
1.36 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.144
0.179
0.219
0.267
0.326
0.384
0.451
0.537
0.636
0.791
1.017
55.3
54.9
54.7
54.6
55.0
55.1
54.6
55.0
55.1
54.8
55.2
299.43
243.38
179.19
147.89
118.41
92.89
72.36
45.23
20.10
6.20
1.75
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
0.179
0.218
0.266
0.324
0.385
0.453
0.536
0.640
0.770
0.974
81.7
81.8
82.0
81.8
81.4
82.1
81.5
82.6
81.8
76.7
204.89
151.21
101.48
68.84
55.35
29.79
17.58
6.61
3.50
0.11
hpT i
0.144
0.178
0.219
0.266
0.327
0.386
0.450
0.534
0.652
0.792
hθi
114.3
113.9
113.7
112.8
113.4
113.2
111.7
112.4
109.0
113.3
±
±
±
±
±
±
±
±
±
±
±
25.78
17.98
14.04
11.17
7.58
5.29
4.22
3.62
2.75
1.88
1.37
±
±
±
±
±
±
±
±
±
±
±
18.80
12.41
7.94
5.53
3.83
3.38
3.29
2.82
1.67
0.71
0.31
±
±
±
±
±
±
±
±
±
±
13.69
7.31
5.04
3.03
3.29
2.06
1.59
0.78
0.55
0.03
105 < θ < 125
d2 σ/dpdΩ
243.09 ± 12.49 ±
139.52 ±
6.86 ±
74.79 ±
4.82 ±
40.52 ±
2.97 ±
22.05 ±
2.24 ±
15.13 ±
1.82 ±
8.18 ±
1.18 ±
2.74 ±
0.60 ±
0.52 ±
0.20 ±
0.12 ±
0.06 ±
12.93
5.21
3.01
2.09
1.67
1.49
1.05
0.48
0.13
0.06
±
±
±
±
±
±
±
±
±
±
16.63
12.22
10.26
7.75
6.98
6.22
4.79
3.44
2.06
0.93
0.35
11.11
8.50
5.70
4.52
4.16
2.63
1.81
1.01
0.58
0.05
Table A.13: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
protons in π + + Ta → p + X interactions with +5.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.221
0.268
0.329
0.389
0.458
0.546
0.656
hθi
25.1
25.2
25.3
25.4
25.5
25.5
25.6
20 < θ < 30
d2 σ/dpdΩ
1347.48 ± 28.36
1145.26 ± 19.97
870.18 ± 17.37
688.03 ± 15.60
494.88 ± 11.39
313.48 ±
7.97
196.97 ±
5.65
pT
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.331
0.393
0.462
0.553
0.663
0.810
1.049
hθi
45.1
45.1
45.1
45.1
45.1
45.1
45.2
40 < θ < 50
d2 σ/dpdΩ
1317.17 ± 20.63
1108.47 ± 18.99
854.58 ± 14.72
584.67 ± 11.20
345.20 ±
7.98
182.38 ±
4.75
56.25 ±
1.84
pT
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.552
0.662
0.810
1.046
hθi
67.5
67.3
67.0
66.7
60 < θ < 75
d2 σ/dpdΩ
623.52 ±
8.83
370.73 ±
6.55
158.33 ±
3.59
35.63 ±
1.24
pT
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.659
0.805
97.2
97.3
169.77
63.44
±
±
4.06
2.18
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
30 < θ < 40
d2 σ/dpdΩ
hpT i
hθi
0.271
0.329
0.389
0.458
0.547
0.654
0.798
35.0
35.1
35.2
35.3
35.2
35.3
35.2
hpT i
hθi
0.391
0.462
0.553
0.663
0.813
1.048
55.1
55.1
55.1
55.0
55.0
55.0
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
22.62
20.34
13.46
5.30
0.661
0.806
1.042
81.8
81.6
81.5
284.51
112.28
18.55
15.18
7.33
hpT i
0.463
0.549
0.659
0.801
hθi
113.8
113.1
113.2
112.6
72.57
54.57
36.54
26.59
18.12
11.73
8.52
41.62
31.31
24.14
20.91
16.70
11.87
5.46
36
1350.32
1160.86
918.76
693.57
475.19
300.44
162.21
±
±
±
±
±
±
±
22.28
19.70
17.80
13.50
10.10
7.18
4.22
±
±
±
±
±
±
±
59.35
43.34
31.15
22.20
16.55
13.22
9.57
±
±
±
±
±
±
34.69
25.42
22.04
18.80
12.89
5.40
±
±
±
20.13
11.18
3.22
±
±
±
±
19.91
16.91
10.01
3.92
50 < θ < 60
d2 σ/dpdΩ
1206.60
925.37
637.44
377.95
185.25
49.97
±
±
±
±
±
±
±
±
±
19.05
14.95
11.41
8.31
4.84
1.73
5.32
2.92
0.90
105 < θ < 125
d2 σ/dpdΩ
375.13 ±
6.55
185.49 ±
4.09
70.59 ±
2.49
16.63 ±
1.12
Table A.14: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π + ’s in π + + Ta → π + + X interactions with +5.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.116
0.146
0.180
0.220
0.269
0.329
0.389
0.459
0.545
0.654
hθi
25.0
24.7
24.9
24.8
24.8
24.8
24.8
24.8
24.7
24.9
20 < θ < 30
d2 σ/dpdΩ
292.87 ± 16.03 ±
389.74 ± 16.95 ±
480.32 ± 15.99 ±
490.81 ± 15.70 ±
485.19 ± 12.79 ±
432.30 ± 11.94 ±
353.20 ± 10.71 ±
269.08 ±
8.05 ±
188.97 ±
5.77 ±
111.51 ±
3.94 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.116
0.146
0.181
0.221
0.271
0.331
0.392
0.461
0.555
0.664
0.805
hθi
45.1
44.8
44.9
45.1
44.8
44.8
44.6
44.7
44.7
44.6
44.5
40 < θ < 50
d2 σ/dpdΩ
327.82 ± 17.15 ±
334.35 ± 15.64 ±
334.01 ± 12.72 ±
300.07 ± 12.28 ±
307.38 ± 10.11 ±
276.68 ±
9.53 ±
249.99 ±
9.16 ±
200.83 ±
7.14 ±
131.50 ±
4.99 ±
78.55 ±
3.46 ±
36.44 ±
1.79 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.146
0.181
0.220
0.269
0.332
0.392
0.462
0.550
0.664
0.814
1.035
hθi
67.0
67.4
67.3
67.1
66.8
66.9
67.1
66.9
67.1
66.0
65.9
60 < θ < 75
d2 σ/dpdΩ
331.63 ± 14.70 ±
269.72 ±
9.60 ±
259.48 ±
9.41 ±
208.82 ±
6.96 ±
165.54 ±
6.34 ±
127.19 ±
5.48 ±
99.32 ±
4.13 ±
73.06 ±
3.18 ±
43.14 ±
2.22 ±
16.63 ±
1.05 ±
4.14 ±
0.32 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.150
0.181
0.220
0.269
0.331
0.391
0.461
0.555
0.663
0.810
1.058
hθi
98.9
98.1
97.8
97.3
97.3
97.0
96.7
96.5
96.2
95.3
97.7
90 < θ < 105
d2 σ/dpdΩ
214.54 ± 20.32 ±
271.15 ± 12.68 ±
197.85 ±
8.76 ±
130.15 ±
5.78 ±
81.08 ±
4.51 ±
57.27 ±
3.90 ±
41.28 ±
2.81 ±
25.54 ±
1.95 ±
10.24 ±
1.01 ±
2.82 ±
0.41 ±
0.30 ±
0.06 ±
hpT i
0.116
0.145
0.179
0.220
0.270
0.330
0.389
0.458
0.547
0.654
0.799
hθi
35.0
35.0
34.9
34.7
34.8
34.8
34.8
34.9
34.8
34.9
34.8
30 < θ < 40
d2 σ/dpdΩ
317.51 ± 16.01 ±
318.15 ± 14.84 ±
350.82 ± 13.20 ±
381.77 ± 13.89 ±
379.26 ± 11.13 ±
359.25 ± 10.93 ±
287.96 ±
9.74 ±
245.56 ±
7.75 ±
163.71 ±
5.52 ±
103.12 ±
3.85 ±
49.18 ±
2.00 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.146
0.180
0.220
0.270
0.330
0.393
0.462
0.552
0.661
0.812
1.046
54.9
55.0
54.8
54.8
54.8
54.7
54.9
54.7
54.7
54.7
54.4
309.60
300.22
258.87
240.05
214.45
202.08
155.62
108.08
59.44
29.34
8.74
±
±
±
±
±
±
±
±
±
±
±
18.96
14.83
11.06
8.40
7.12
7.28
6.11
5.49
4.23
2.95
1.41
23.27
13.14
10.82
7.74
6.79
5.14
4.40
4.47
3.71
1.97
0.76
hpT i
0.150
0.181
0.221
0.269
0.330
0.392
0.462
0.553
0.660
0.807
1.041
hθi
82.0
82.0
81.8
82.0
81.8
81.4
82.2
81.6
81.0
81.1
81.4
75 < θ < 90
d2 σ/dpdΩ
215.92 ± 19.47 ±
256.45 ± 11.67 ±
235.34 ±
9.69 ±
179.65 ±
6.94 ±
110.23 ±
5.38 ±
84.48 ±
4.58 ±
60.90 ±
3.49 ±
44.56 ±
2.58 ±
25.04 ±
1.73 ±
8.08 ±
0.74 ±
1.59 ±
0.18 ±
63.53
22.71
12.28
9.91
5.87
4.16
4.33
3.56
2.61
1.13
0.35
69.19
30.45
8.27
5.94
4.05
3.96
3.41
2.74
1.45
0.55
0.10
hpT i
0.145
0.180
0.220
0.269
0.328
0.389
0.460
0.549
0.654
0.789
1.050
hθi
114.7
114.6
113.9
113.9
114.7
113.6
113.8
112.7
111.1
113.0
108.8
105 < θ < 125
d2 σ/dpdΩ
355.83 ± 15.84 ±
175.92 ±
7.16 ±
119.21 ±
5.54 ±
76.96 ±
3.71 ±
41.80 ±
2.69 ±
35.78 ±
2.52 ±
19.80 ±
1.60 ±
10.16 ±
0.99 ±
2.28 ±
0.40 ±
0.46 ±
0.12 ±
0.03 ±
0.01 ±
48.40
6.75
4.30
3.32
2.49
2.86
2.07
1.43
0.45
0.15
0.02
21.51
23.05
24.47
21.02
17.58
13.62
11.07
10.61
9.80
8.67
24.80
19.83
16.71
13.12
10.90
8.39
7.78
7.19
6.01
5.21
3.65
37
±
±
±
±
±
±
±
±
±
±
±
14.59
11.96
11.28
8.91
8.56
8.40
6.33
4.67
3.11
1.67
0.61
23.47
18.84
17.52
16.47
13.30
10.90
8.49
8.28
7.79
7.27
5.46
Table A.15: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π − ’s in π + + Ta → π − + X interactions with +5.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.116
0.146
0.180
0.219
0.269
0.330
0.389
0.456
0.544
0.651
hθi
25.1
24.9
24.8
25.0
25.0
25.1
25.0
25.0
25.1
25.3
20 < θ < 30
d2 σ/dpdΩ
347.61 ± 16.34 ±
432.19 ± 18.29 ±
419.15 ± 14.88 ±
398.10 ± 13.94 ±
370.14 ± 11.02 ±
292.53 ±
9.93 ±
212.29 ±
8.35 ±
149.41 ±
6.10 ±
95.52 ±
4.34 ±
57.61 ±
3.10 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.115
0.144
0.179
0.219
0.269
0.326
0.386
0.452
0.539
0.645
0.783
hθi
44.9
44.8
44.9
44.9
44.8
44.7
44.8
45.1
44.9
44.9
45.2
40 < θ < 50
d2 σ/dpdΩ
343.86 ± 17.17 ±
339.99 ± 14.99 ±
317.32 ± 12.18 ±
298.74 ± 12.09 ±
255.42 ±
9.15 ±
212.10 ±
8.34 ±
185.61 ±
7.91 ±
130.43 ±
5.74 ±
86.53 ±
4.12 ±
46.84 ±
2.77 ±
21.15 ±
1.57 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.144
0.178
0.218
0.267
0.327
0.386
0.452
0.542
0.640
0.781
0.981
hθi
67.6
67.2
67.3
67.2
66.9
66.8
66.9
67.0
66.7
67.3
66.8
60 < θ < 75
d2 σ/dpdΩ
371.68 ± 15.75 ±
279.31 ±
9.78 ±
207.95 ±
8.12 ±
174.54 ±
6.25 ±
142.86 ±
5.77 ±
109.22 ±
5.01 ±
85.28 ±
3.83 ±
53.65 ±
2.73 ±
27.91 ±
1.80 ±
12.09 ±
0.96 ±
1.92 ±
0.25 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.179
0.219
0.266
0.325
0.384
0.451
0.543
0.639
0.787
1.061
97.6
97.6
97.1
97.0
97.2
97.3
97.3
96.6
96.0
92.3
250.07
161.81
98.56
60.35
45.21
35.68
20.38
6.65
1.44
0.18
±
±
±
±
±
±
±
±
±
±
11.96
8.04
4.99
3.90
3.45
2.55
1.78
0.85
0.29
0.07
±
±
±
±
±
±
±
±
±
±
25.26
29.17
22.63
16.75
12.70
9.58
6.79
5.79
5.06
4.26
26.69
20.73
16.24
13.74
9.27
6.63
6.28
5.22
4.69
3.55
2.28
24.42
13.01
8.17
6.17
5.35
4.25
4.11
3.51
2.47
1.47
0.36
23.80
7.49
4.45
3.37
3.48
3.16
2.49
1.05
0.33
0.07
38
hpT i
0.115
0.144
0.180
0.220
0.269
0.329
0.390
0.456
0.546
0.656
0.799
hθi
34.9
34.7
34.9
34.9
34.9
35.0
34.9
34.8
34.9
34.8
34.7
30 < θ < 40
d2 σ/dpdΩ
403.30 ± 18.39 ±
341.59 ± 15.25 ±
356.21 ± 13.14 ±
339.92 ± 12.69 ±
318.02 ± 10.12 ±
238.02 ±
8.78 ±
192.97 ±
7.95 ±
150.64 ±
6.23 ±
87.61 ±
4.18 ±
43.86 ±
2.64 ±
25.46 ±
1.73 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.144
0.178
0.218
0.268
0.327
0.386
0.454
0.539
0.645
0.781
1.012
55.0
55.1
55.1
54.9
54.9
54.9
54.8
54.5
54.5
54.9
54.9
369.57
297.92
231.89
202.63
183.99
136.55
104.88
63.95
39.53
15.76
3.73
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
0.179
0.217
0.266
0.324
0.387
0.452
0.537
0.637
0.767
0.997
81.9
81.7
82.1
81.9
81.5
82.0
82.3
81.6
82.2
82.1
271.72
189.68
147.92
89.47
73.90
57.83
33.47
17.57
5.84
0.83
hpT i
0.144
0.177
0.217
0.267
0.326
0.387
0.447
0.540
0.647
0.797
hθi
114.5
113.7
113.8
113.7
113.8
112.5
112.7
111.7
111.8
108.7
±
±
±
±
±
±
±
±
±
±
±
30.79
20.89
18.06
14.48
10.95
7.15
6.11
6.16
4.55
3.14
2.61
±
±
±
±
±
±
±
±
±
±
±
22.99
14.99
9.99
7.41
5.69
4.67
4.51
3.78
3.11
1.72
0.62
±
±
±
±
±
±
±
±
±
±
20.63
9.56
7.87
4.03
4.40
3.88
2.90
1.97
0.88
0.20
105 < θ < 125
d2 σ/dpdΩ
322.38 ± 14.43 ±
175.36 ±
7.07 ±
89.08 ±
4.80 ±
57.69 ±
3.21 ±
37.81 ±
2.62 ±
26.31 ±
2.14 ±
14.94 ±
1.42 ±
4.83 ±
0.71 ±
1.18 ±
0.28 ±
0.18 ±
0.07 ±
24.27
6.45
3.44
2.91
2.71
2.44
1.81
0.78
0.27
0.08
±
±
±
±
±
±
±
±
±
±
16.46
12.07
10.39
8.16
7.79
6.73
5.18
3.66
2.59
1.32
0.45
12.06
8.63
6.22
4.69
4.35
3.30
2.24
1.46
0.66
0.14
Table A.16: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
protons in π − + Ta → p + X interactions with −5.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.220
0.268
0.327
0.387
0.456
0.544
0.650
hθi
25.2
25.3
25.3
25.4
25.4
25.5
25.5
20 < θ < 30
d2 σ/dpdΩ
1178.83 ± 20.56
1044.47 ± 14.69
825.63 ± 13.09
624.77 ± 11.42
467.31 ±
8.41
330.89 ±
6.31
209.49 ±
4.52
pT
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.329
0.389
0.458
0.547
0.654
0.798
1.032
hθi
45.1
45.1
45.1
45.2
45.1
45.0
44.9
40 < θ < 50
d2 σ/dpdΩ
1245.06 ± 15.31
1044.40 ± 14.28
787.92 ± 10.75
568.95 ±
8.41
350.49 ±
6.06
167.71 ±
3.41
48.13 ±
1.29
pT
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.545
0.653
0.796
1.026
hθi
67.6
67.2
67.1
66.6
60 < θ < 75
d2 σ/dpdΩ
579.90 ±
6.54
333.91 ±
4.71
145.55 ±
2.62
32.92 ±
0.88
pT
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.651
0.792
1.015
97.3
97.1
96.7
149.06
51.49
5.67
±
±
±
2.91
1.52
0.37
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
63.58
49.58
34.18
22.93
15.44
11.03
8.49
39.98
29.34
21.18
17.93
14.61
10.06
4.60
20.96
18.06
12.06
4.53
13.42
5.95
1.11
39
30 < θ < 40
d2 σ/dpdΩ
hpT i
hθi
0.270
0.328
0.387
0.456
0.543
0.650
0.792
34.9
35.1
35.2
35.2
35.3
35.2
35.2
hpT i
hθi
0.389
0.457
0.547
0.654
0.797
1.024
55.1
55.1
55.0
55.0
55.1
55.1
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
0.652
0.793
1.015
81.9
81.6
81.6
253.03
94.39
14.62
hpT i
0.458
0.543
0.651
0.792
hθi
113.6
113.0
113.0
112.7
1238.38
1083.32
880.69
643.96
454.06
295.35
154.68
±
±
±
±
±
±
±
16.23
14.53
13.39
9.84
7.50
5.45
3.22
±
±
±
±
±
±
±
54.48
40.42
28.60
18.92
14.16
11.69
8.88
±
±
±
±
±
±
33.13
23.77
20.12
16.81
11.19
4.01
±
±
±
17.88
9.35
2.36
±
±
±
±
18.54
14.94
8.59
3.31
50 < θ < 60
d2 σ/dpdΩ
1105.28
869.97
604.58
367.91
173.38
39.02
±
±
±
±
±
±
±
±
±
14.03
11.07
8.46
6.21
3.50
1.15
3.87
2.03
0.59
105 < θ < 125
d2 σ/dpdΩ
352.54 ±
4.92
163.19 ±
2.94
61.54 ±
1.75
15.09 ±
0.77
Table A.17: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π + ’s in π − + Ta → π + + X interactions with −5.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.116
0.146
0.180
0.220
0.269
0.327
0.388
0.456
0.543
0.651
hθi
25.1
24.7
25.0
24.9
24.9
24.9
24.9
24.9
25.0
25.1
20 < θ < 30
d2 σ/dpdΩ
313.85 ± 12.72 ±
349.23 ± 12.00 ±
406.36 ± 11.11 ±
394.38 ± 10.76 ±
383.84 ±
8.62 ±
306.95 ±
7.68 ±
252.76 ±
7.01 ±
177.66 ±
5.00 ±
109.03 ±
3.32 ±
56.51 ±
2.06 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.116
0.145
0.180
0.220
0.269
0.329
0.389
0.459
0.547
0.654
0.796
hθi
44.9
44.7
44.9
44.9
44.8
44.9
44.9
44.8
44.6
44.7
44.6
40 < θ < 50
d2 σ/dpdΩ
260.88 ± 11.27 ±
283.00 ± 10.49 ±
265.33 ±
8.54 ±
264.87 ±
8.67 ±
239.58 ±
6.65 ±
219.40 ±
6.54 ±
197.56 ±
6.34 ±
136.23 ±
4.45 ±
96.27 ±
3.28 ±
53.86 ±
2.23 ±
23.71 ±
1.09 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.146
0.179
0.219
0.269
0.328
0.389
0.457
0.546
0.657
0.795
1.034
hθi
67.0
67.3
67.2
67.1
67.1
66.9
66.9
66.9
66.4
66.4
66.0
60 < θ < 75
d2 σ/dpdΩ
243.21 ±
9.40 ±
259.65 ±
7.25 ±
200.53 ±
6.17 ±
179.42 ±
4.89 ±
131.64 ±
4.29 ±
104.86 ±
3.79 ±
81.09 ±
2.91 ±
55.27 ±
2.12 ±
34.87 ±
1.56 ±
13.20 ±
0.69 ±
2.49 ±
0.17 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.180
0.219
0.268
0.329
0.389
0.457
0.546
0.652
0.792
1.029
97.8
97.7
97.2
97.4
96.4
97.2
97.0
96.6
96.4
96.9
202.07
147.36
101.53
60.54
46.27
33.78
20.12
7.76
2.28
0.12
±
±
±
±
±
±
±
±
±
±
7.89
5.77
3.87
2.93
2.68
1.88
1.29
0.68
0.27
0.02
±
±
±
±
±
±
±
±
±
±
hpT i
0.116
0.145
0.179
0.220
0.269
0.327
0.387
0.456
0.544
0.649
0.786
hθi
35.0
34.8
34.8
34.9
34.8
34.8
34.8
34.8
34.9
34.8
34.9
30 < θ < 40
d2 σ/dpdΩ
298.42 ± 11.92 ±
318.57 ± 11.41 ±
300.07 ±
9.16 ±
333.44 ±
9.86 ±
300.98 ±
7.51 ±
256.97 ±
6.94 ±
218.04 ±
6.45 ±
170.10 ±
5.02 ±
98.68 ±
3.18 ±
62.27 ±
2.28 ±
23.62 ±
0.99 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.145
0.179
0.220
0.269
0.330
0.390
0.458
0.546
0.656
0.794
1.027
55.1
55.0
54.9
54.8
54.9
54.7
54.7
54.6
54.8
54.6
54.5
281.39
281.22
239.73
203.56
175.84
148.60
112.75
70.04
49.79
18.83
4.73
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
15.54
12.68
8.21
6.56
5.32
4.35
4.08
3.53
3.19
1.56
0.48
0.180
0.219
0.267
0.328
0.390
0.459
0.544
0.650
0.792
1.018
81.6
81.8
81.8
82.0
81.9
81.9
81.5
81.4
80.8
81.1
219.18
203.21
133.86
89.71
69.22
52.00
34.02
15.55
5.89
0.98
15.60
6.14
4.21
2.91
3.39
2.69
2.15
1.11
0.46
0.05
hpT i
0.145
0.179
0.219
0.267
0.327
0.388
0.453
0.545
0.649
0.783
1.056
hθi
114.9
114.4
113.9
113.8
114.5
113.2
112.9
112.8
112.4
112.5
115.8
24.22
20.59
20.71
17.36
13.95
9.90
8.87
7.06
5.75
4.48
19.88
16.90
13.36
11.60
8.52
7.11
7.02
4.82
4.50
3.77
2.40
40
±
±
±
±
±
±
±
±
±
±
±
22.16
19.22
14.93
14.69
10.63
7.95
6.60
6.55
4.72
4.53
2.65
±
±
±
±
±
±
±
±
±
±
±
17.41
13.96
10.28
7.16
6.37
5.25
4.46
3.62
3.62
1.93
0.77
±
±
±
±
±
±
±
±
±
±
16.11
11.55
5.65
4.34
3.53
3.31
2.61
1.64
0.84
0.23
105 < θ < 125
d2 σ/dpdΩ
197.77 ±
7.54 ±
142.94 ±
4.79 ±
96.94 ±
3.82 ±
60.06 ±
2.48 ±
36.10 ±
1.93 ±
26.72 ±
1.67 ±
13.36 ±
0.97 ±
6.10 ±
0.57 ±
1.92 ±
0.27 ±
0.34 ±
0.07 ±
0.03 ±
0.02 ±
11.16
5.43
3.58
2.62
2.22
2.19
1.42
0.87
0.39
0.11
0.02
±
±
±
±
±
±
±
±
±
±
10.79
9.02
8.05
6.21
5.97
5.45
4.08
2.84
2.18
1.02
0.31
8.00
7.00
4.44
3.64
3.16
2.38
1.67
1.03
0.46
0.10
Table A.18: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π − ’s in π − + Ta → π − + X interactions with −5.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.116
0.145
0.180
0.221
0.271
0.329
0.390
0.459
0.549
0.659
hθi
25.0
25.0
25.0
24.9
24.9
24.8
25.0
25.1
24.9
25.1
20 < θ < 30
d2 σ/dpdΩ
518.05 ± 16.62 ±
568.86 ± 15.85 ±
629.37 ± 14.14 ±
592.76 ± 13.56 ±
526.38 ± 10.28 ±
461.27 ±
9.61 ±
355.99 ±
8.59 ±
262.23 ±
6.35 ±
175.95 ±
4.59 ±
106.30 ±
3.27 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.115
0.145
0.179
0.220
0.269
0.330
0.389
0.458
0.545
0.653
0.798
hθi
45.0
44.9
44.9
44.8
44.8
44.8
44.7
44.9
44.9
44.9
45.2
40 < θ < 50
d2 σ/dpdΩ
450.25 ± 15.37 ±
434.13 ± 13.55 ±
421.30 ± 11.20 ±
395.69 ± 10.80 ±
355.04 ±
8.37 ±
319.20 ±
8.06 ±
265.69 ±
7.31 ±
209.68 ±
5.66 ±
138.84 ±
4.07 ±
77.08 ±
2.78 ±
38.28 ±
1.63 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.145
0.179
0.219
0.269
0.328
0.389
0.457
0.546
0.653
0.793
1.018
hθi
67.3
67.6
67.3
67.0
66.8
66.8
67.0
67.0
67.0
66.9
66.7
60 < θ < 75
d2 σ/dpdΩ
406.62 ± 11.99 ±
339.56 ±
8.50 ±
290.88 ±
7.59 ±
229.98 ±
5.62 ±
190.81 ±
5.23 ±
140.55 ±
4.45 ±
111.67 ±
3.41 ±
77.62 ±
2.57 ±
43.09 ±
1.73 ±
21.29 ±
1.00 ±
3.86 ±
0.27 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.179
0.219
0.268
0.327
0.389
0.458
0.545
0.653
0.794
1.017
97.9
97.9
97.5
97.3
97.2
97.5
96.6
96.4
97.0
97.1
313.20
207.86
135.87
86.72
63.46
47.15
27.80
10.78
2.71
0.25
±
±
±
±
±
±
±
±
±
±
10.58
7.24
4.72
3.71
3.14
2.35
1.59
0.85
0.31
0.05
±
±
±
±
±
±
±
±
±
±
hpT i
0.115
0.146
0.180
0.221
0.270
0.330
0.391
0.460
0.549
0.659
0.803
hθi
35.0
35.0
34.9
34.9
34.8
34.8
34.9
34.9
34.9
34.9
34.9
30 < θ < 40
d2 σ/dpdΩ
538.95 ± 16.82 ±
472.34 ± 14.07 ±
512.06 ± 12.63 ±
483.52 ± 12.08 ±
463.05 ±
9.51 ±
388.42 ±
8.75 ±
338.54 ±
8.31 ±
244.12 ±
6.07 ±
156.08 ±
4.33 ±
90.76 ±
2.97 ±
43.68 ±
1.75 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.145
0.179
0.219
0.270
0.329
0.390
0.457
0.546
0.655
0.800
1.029
55.0
54.9
54.8
54.9
54.9
54.7
54.8
54.7
54.7
54.7
54.8
417.17
397.61
313.77
293.27
251.89
211.82
150.01
111.91
64.92
28.81
7.51
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
23.99
15.68
11.24
7.98
7.25
5.52
5.24
5.05
3.75
2.56
0.70
0.180
0.219
0.269
0.327
0.388
0.457
0.546
0.654
0.794
1.020
81.6
81.9
81.8
81.6
81.7
82.0
81.5
81.8
81.1
80.7
316.96
267.18
184.89
121.19
91.30
74.83
47.07
24.97
8.56
1.48
29.43
11.35
7.77
5.43
4.66
4.36
3.31
1.66
0.59
0.10
hpT i
0.144
0.178
0.218
0.267
0.329
0.388
0.456
0.540
0.645
0.788
1.007
hθi
114.4
114.1
113.9
114.2
113.6
113.4
113.2
111.1
113.1
111.0
112.7
38.94
33.58
31.50
24.99
17.62
13.34
11.49
9.88
9.05
7.68
34.70
26.22
21.26
16.90
12.04
9.76
8.17
8.04
7.31
5.71
4.03
41
±
±
±
±
±
±
±
±
±
±
±
40.64
28.25
26.09
20.37
15.59
11.20
10.41
8.76
7.76
6.35
4.37
±
±
±
±
±
±
±
±
±
±
±
25.77
20.18
13.29
10.38
7.92
7.54
5.96
6.19
5.05
3.12
1.23
±
±
±
±
±
±
±
±
±
±
20.38
15.31
10.81
5.11
4.91
4.69
4.12
2.80
1.27
0.35
105 < θ < 125
d2 σ/dpdΩ
320.17 ± 12.37 ±
198.04 ±
5.76 ±
122.68 ±
4.39 ±
74.82 ±
2.76 ±
48.23 ±
2.25 ±
33.70 ±
1.93 ±
19.67 ±
1.24 ±
7.36 ±
0.66 ±
1.97 ±
0.27 ±
0.43 ±
0.09 ±
0.05 ±
0.02 ±
15.58
7.12
4.53
3.54
3.26
3.14
2.33
1.16
0.44
0.15
0.04
±
±
±
±
±
±
±
±
±
±
13.64
11.20
9.43
7.70
7.17
6.65
4.71
3.70
2.61
1.42
0.51
9.71
8.17
5.49
4.21
3.71
2.86
2.08
1.37
0.63
0.15
Table A.19: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
protons in p + Ta → p + X interactions with +8.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.220
0.269
0.329
0.389
0.458
0.547
0.656
hθi
25.2
25.3
25.3
25.3
25.3
25.3
25.3
20 < θ < 30
d2 σ/dpdΩ
1519.76 ± 21.36
1362.58 ± 16.11
1060.74 ± 14.66
845.75 ± 13.37
634.25 ± 10.03
432.51 ±
7.35
299.28 ±
5.71
pT
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.331
0.392
0.462
0.553
0.664
0.812
1.054
hθi
45.2
45.1
45.1
45.1
45.1
45.1
45.0
40 < θ < 50
d2 σ/dpdΩ
1541.91 ± 37.40
1293.58 ± 14.89
973.51 ± 11.76
665.33 ±
9.20
430.18 ±
6.98
220.14 ±
4.18
64.47 ±
1.66
pT
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.552
0.663
0.811
1.050
hθi
67.4
67.3
67.1
66.8
60 < θ < 75
d2 σ/dpdΩ
678.79 ±
6.63
422.02 ±
5.20
198.77 ±
3.17
52.14 ±
1.22
pT
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.658
0.804
97.1
96.6
177.49
61.93
±
±
3.09
1.70
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
30 < θ < 40
d2 σ/dpdΩ
hpT i
hθi
0.271
0.329
0.389
0.458
0.547
0.654
0.798
34.9
35.1
35.1
35.2
35.2
35.2
35.1
hpT i
hθi
0.392
0.462
0.553
0.663
0.811
1.056
55.1
55.0
55.0
55.0
54.9
54.9
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
26.82
25.10
19.52
8.37
0.661
0.808
1.043
81.7
81.6
81.4
312.17
125.51
26.54
15.95
7.48
hpT i
0.463
0.548
0.657
0.802
hθi
113.6
112.9
112.6
112.2
81.33
65.81
52.11
43.97
34.16
25.95
21.12
51.85
36.30
33.69
36.03
29.42
20.88
9.07
42
1550.36
1392.31
1074.18
821.25
607.41
380.83
206.23
±
±
±
±
±
±
±
16.95
15.61
14.25
11.23
8.86
6.44
3.91
±
±
±
±
±
±
±
67.55
51.92
41.04
37.04
32.26
24.63
17.98
±
±
±
±
±
±
43.34
29.04
29.27
28.89
20.26
8.87
±
±
±
22.11
12.88
4.69
±
±
±
±
22.53
15.70
9.36
3.46
50 < θ < 60
d2 σ/dpdΩ
1328.38
1051.25
736.72
456.40
226.57
61.36
±
±
±
±
±
±
±
±
±
14.38
11.54
9.09
7.02
4.19
1.62
4.13
2.34
0.88
105 < θ < 125
d2 σ/dpdΩ
375.35 ±
4.61
166.84 ±
2.84
64.67 ±
1.84
15.31 ±
0.81
Table A.20: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π + ’s in p + Ta → π + + X interactions with +8.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.115
0.146
0.180
0.220
0.269
0.329
0.389
0.458
0.547
0.656
hθi
25.1
24.7
24.8
25.0
24.9
25.0
24.9
24.8
24.9
24.8
20 < θ < 30
d2 σ/dpdΩ
448.06 ± 15.39 ±
490.92 ± 14.33 ±
543.60 ± 12.57 ±
545.59 ± 12.56 ±
516.19 ±
9.81 ±
422.79 ±
8.81 ±
338.21 ±
7.74 ±
239.05 ±
5.48 ±
163.48 ±
3.95 ±
100.31 ±
2.62 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.116
0.146
0.180
0.221
0.271
0.332
0.391
0.461
0.553
0.663
0.807
hθi
44.9
45.0
45.0
44.8
44.7
44.8
44.9
44.8
44.8
44.6
44.7
40 < θ < 50
d2 σ/dpdΩ
338.16 ± 12.72 ±
366.60 ± 11.68 ±
418.30 ± 10.71 ±
369.80 ± 10.07 ±
333.15 ±
7.85 ±
284.96 ±
7.29 ±
236.61 ±
6.73 ±
171.29 ±
4.75 ±
113.24 ±
3.49 ±
62.60 ±
2.21 ±
28.79 ±
1.10 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.146
0.180
0.221
0.270
0.329
0.392
0.462
0.552
0.662
0.805
1.039
hθi
67.4
67.3
67.2
67.1
66.9
66.9
66.7
66.7
66.5
66.5
66.3
60 < θ < 75
d2 σ/dpdΩ
274.10 ±
9.35 ±
269.25 ±
6.82 ±
264.59 ±
6.89 ±
225.88 ±
5.35 ±
165.22 ±
4.64 ±
125.61 ±
4.05 ±
90.87 ±
2.90 ±
57.64 ±
2.06 ±
31.07 ±
1.32 ±
11.81 ±
0.60 ±
3.00 ±
0.18 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.181
0.220
0.269
0.330
0.390
0.463
0.551
0.658
0.809
1.049
97.8
97.7
97.3
97.3
96.6
97.0
96.4
96.0
96.4
95.4
213.16
175.98
116.79
77.52
47.57
32.35
16.07
7.19
2.55
0.35
±
±
±
±
±
±
±
±
±
±
7.24
5.99
4.05
3.34
2.53
1.81
1.08
0.63
0.29
0.06
±
±
±
±
±
±
±
±
±
±
hpT i
0.116
0.146
0.180
0.220
0.269
0.329
0.389
0.459
0.547
0.654
0.795
hθi
34.9
34.9
34.9
34.8
34.9
34.8
34.7
34.8
34.8
34.7
34.7
30 < θ < 40
d2 σ/dpdΩ
423.17 ± 14.15 ±
407.27 ± 12.62 ±
448.44 ± 11.25 ±
448.39 ± 11.22 ±
433.33 ±
9.03 ±
353.72 ±
8.14 ±
283.23 ±
7.22 ±
219.57 ±
5.48 ±
134.94 ±
3.63 ±
81.17 ±
2.44 ±
35.78 ±
1.14 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.146
0.180
0.220
0.271
0.330
0.392
0.463
0.552
0.664
0.810
1.050
54.9
54.9
55.0
54.9
54.8
54.6
54.8
54.8
54.5
54.6
54.2
337.74
318.36
341.45
291.52
226.58
182.53
133.83
84.76
47.66
21.83
4.46
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
16.91
13.08
10.44
8.20
5.97
4.96
3.93
3.48
2.61
1.42
0.57
0.181
0.221
0.269
0.331
0.391
0.460
0.551
0.662
0.804
1.042
81.7
81.9
81.9
81.7
81.4
81.8
81.6
81.4
81.2
81.4
232.98
220.07
175.27
114.23
81.93
53.71
31.81
15.43
5.19
0.92
11.14
6.94
5.58
4.45
2.93
2.64
1.71
1.03
0.49
0.11
hpT i
0.145
0.180
0.220
0.268
0.329
0.391
0.458
0.554
0.652
0.812
1.080
hθi
114.5
114.1
113.7
113.5
113.4
113.5
112.8
113.1
111.7
111.4
113.4
35.36
29.21
27.39
24.51
18.94
13.66
10.55
8.76
8.57
7.80
25.39
21.31
20.28
15.44
11.76
8.90
7.82
5.93
5.40
4.21
2.94
43
±
±
±
±
±
±
±
±
±
±
±
31.54
23.35
21.77
19.02
15.61
11.14
8.59
7.76
6.49
5.75
4.02
±
±
±
±
±
±
±
±
±
±
±
20.49
15.34
13.88
10.02
7.50
6.26
5.02
4.31
3.41
2.23
0.77
±
±
±
±
±
±
±
±
±
±
13.83
9.62
8.23
6.16
4.61
3.08
2.42
1.58
0.74
0.21
105 < θ < 125
d2 σ/dpdΩ
180.90 ±
6.12 ±
155.70 ±
4.47 ±
112.03 ±
3.90 ±
70.10 ±
2.64 ±
35.54 ±
1.83 ±
25.11 ±
1.54 ±
12.35 ±
0.90 ±
4.61 ±
0.48 ±
1.43 ±
0.24 ±
0.37 ±
0.08 ±
0.05 ±
0.02 ±
10.08
6.43
3.84
3.08
2.14
2.06
1.33
0.66
0.27
0.10
0.02
±
±
±
±
±
±
±
±
±
±
11.34
9.11
9.60
7.33
6.55
5.87
4.24
3.00
1.99
1.01
0.25
7.52
6.70
4.94
4.05
3.41
2.30
1.57
0.94
0.41
0.09
Table A.21: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π − ’s in p + Ta → π − + X interactions with +8.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.115
0.146
0.180
0.220
0.269
0.328
0.388
0.457
0.546
0.651
hθi
25.0
25.0
25.0
25.0
24.9
25.1
25.1
25.1
25.0
25.2
20 < θ < 30
d2 σ/dpdΩ
570.39 ± 16.61 ±
574.52 ± 15.37 ±
579.63 ± 12.76 ±
552.67 ± 12.21 ±
462.98 ±
9.17 ±
326.07 ±
7.57 ±
256.17 ±
6.73 ±
174.01 ±
4.83 ±
111.06 ±
3.37 ±
60.66 ±
2.26 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.115
0.144
0.179
0.219
0.268
0.326
0.384
0.454
0.539
0.643
0.785
hθi
45.1
45.0
44.9
44.9
44.8
44.8
44.9
44.9
44.7
44.9
44.5
40 < θ < 50
d2 σ/dpdΩ
468.86 ± 15.09 ±
480.35 ± 13.46 ±
442.03 ± 10.88 ±
389.50 ± 10.20 ±
350.19 ±
8.00 ±
275.10 ±
7.12 ±
212.14 ±
6.24 ±
145.75 ±
4.36 ±
93.08 ±
3.08 ±
50.20 ±
2.05 ±
22.93 ±
1.11 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.145
0.179
0.218
0.267
0.327
0.385
0.453
0.540
0.644
0.775
1.012
hθi
67.1
67.1
67.4
67.1
67.0
66.8
67.0
66.8
66.6
66.6
66.2
60 < θ < 75
d2 σ/dpdΩ
394.68 ± 11.07 ±
336.55 ±
7.78 ±
287.71 ±
7.32 ±
230.93 ±
5.43 ±
173.61 ±
4.74 ±
120.36 ±
3.91 ±
86.57 ±
2.79 ±
48.78 ±
1.87 ±
24.83 ±
1.18 ±
9.58 ±
0.57 ±
1.88 ±
0.16 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.176
0.218
0.267
0.325
0.384
0.452
0.540
0.641
0.792
1.010
97.8
97.5
97.3
97.3
97.4
97.0
97.0
96.8
96.4
96.6
281.67
198.72
124.02
75.25
51.07
27.99
16.87
6.13
1.50
0.16
±
±
±
±
±
±
±
±
±
±
47.43
6.48
4.20
3.23
2.61
1.61
1.10
0.60
0.22
0.04
±
±
±
±
±
±
±
±
±
±
43.49
35.56
28.74
22.70
16.31
9.39
7.71
6.61
5.76
4.43
36.02
28.69
21.86
16.28
12.22
8.51
6.71
5.54
4.93
3.75
2.43
23.19
15.41
11.16
8.38
6.49
4.70
3.95
3.09
2.16
1.17
0.36
13.69
8.77
6.15
4.24
3.47
2.41
1.98
0.97
0.33
0.05
44
hpT i
0.116
0.145
0.180
0.220
0.269
0.329
0.388
0.456
0.544
0.653
0.796
hθi
34.9
34.9
34.9
34.9
34.9
34.9
34.9
34.9
35.0
35.1
35.0
30 < θ < 40
d2 σ/dpdΩ
558.31 ± 16.27 ±
520.42 ± 14.11 ±
499.76 ± 11.64 ±
490.87 ± 11.51 ±
411.29 ±
8.59 ±
327.85 ±
7.70 ±
244.79 ±
6.60 ±
168.06 ±
4.67 ±
108.38 ±
3.36 ±
51.21 ±
2.05 ±
26.15 ±
1.19 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.144
0.179
0.218
0.267
0.326
0.386
0.454
0.540
0.645
0.783
1.008
55.0
55.0
54.8
54.9
54.8
54.6
54.7
55.0
54.9
54.4
54.9
445.60
395.64
326.01
283.32
229.76
165.91
132.75
77.91
36.32
12.38
3.68
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
0.179
0.218
0.266
0.325
0.385
0.452
0.539
0.638
0.780
1.022
81.9
82.0
81.7
81.6
81.7
81.6
81.7
81.8
81.3
80.7
295.98
232.96
174.66
112.47
79.31
53.97
30.13
12.84
4.80
0.67
hpT i
0.144
0.178
0.217
0.266
0.325
0.386
0.451
0.533
0.638
0.779
hθi
114.5
113.9
114.0
113.7
113.6
113.2
113.3
113.3
111.7
112.4
±
±
±
±
±
±
±
±
±
±
±
42.88
30.65
24.53
20.25
13.73
9.53
7.23
6.06
5.42
3.62
2.63
±
±
±
±
±
±
±
±
±
±
±
27.47
19.41
13.31
9.83
7.60
5.60
5.33
4.33
2.85
1.37
0.62
±
±
±
±
±
±
±
±
±
±
16.71
10.89
9.44
5.81
4.28
3.41
2.46
1.44
0.73
0.15
105 < θ < 125
d2 σ/dpdΩ
241.80 ±
7.53 ±
171.68 ±
4.85 ±
112.64 ±
4.00 ±
67.68 ±
2.56 ±
34.44 ±
1.79 ±
23.10 ±
1.43 ±
12.86 ±
0.92 ±
5.70 ±
0.53 ±
1.32 ±
0.22 ±
0.45 ±
0.10 ±
12.15
6.24
4.11
3.31
2.37
2.16
1.57
0.92
0.28
0.13
±
±
±
±
±
±
±
±
±
±
13.06
10.24
9.31
7.22
6.57
5.53
4.24
2.85
1.70
0.80
0.30
8.67
7.00
5.02
3.97
3.28
2.29
1.48
0.83
0.43
0.10
Table A.22: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
protons in π + + Ta → p + X interactions with +8.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.221
0.269
0.329
0.388
0.458
0.545
0.656
hθi
25.2
25.3
25.3
25.4
25.4
25.4
25.3
20 < θ < 30
d2 σ/dpdΩ
1292.78 ± 28.16
1178.60 ± 21.40
918.74 ± 19.54
707.36 ± 17.51
534.25 ± 13.15
357.84 ±
9.50
236.63 ±
7.15
pT
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.331
0.392
0.462
0.554
0.663
0.813
1.055
hθi
45.1
45.1
45.1
45.1
45.1
45.1
45.0
40 < θ < 50
d2 σ/dpdΩ
1340.16 ± 21.28
1103.60 ± 19.71
843.12 ± 15.67
569.98 ± 12.18
354.33 ±
9.05
185.56 ±
5.47
53.49 ±
2.14
pT
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.552
0.663
0.813
1.053
hθi
67.5
67.2
67.1
66.8
60 < θ < 75
d2 σ/dpdΩ
606.81 ±
8.99
367.21 ±
6.96
167.26 ±
4.18
42.50 ±
1.58
pT
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.659
0.804
97.2
96.6
162.84
57.68
±
±
4.25
2.35
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
30 < θ < 40
d2 σ/dpdΩ
hpT i
hθi
0.271
0.329
0.389
0.459
0.547
0.654
0.799
34.9
35.1
35.1
35.2
35.1
35.2
35.1
hpT i
hθi
0.392
0.463
0.553
0.664
0.811
1.051
55.2
55.1
55.1
55.0
54.9
54.9
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
24.45
22.07
16.56
6.85
0.660
0.808
1.054
81.7
81.6
81.4
282.39
114.81
25.01
14.64
6.95
hpT i
0.463
0.549
0.659
0.800
hθi
113.4
113.0
112.8
112.4
69.78
57.45
45.76
37.52
29.22
21.71
16.78
45.69
31.92
29.72
31.18
24.37
17.67
7.53
45
1361.67
1186.40
959.76
735.96
516.19
321.32
162.29
±
±
±
±
±
±
±
22.56
20.67
19.32
15.24
11.63
8.42
4.90
±
±
±
±
±
±
±
60.11
45.03
37.35
33.75
27.71
20.94
14.20
±
±
±
±
±
±
39.17
26.88
24.88
24.84
17.07
7.11
±
±
±
20.08
11.81
4.41
±
±
±
±
21.91
16.33
10.15
3.58
50 < θ < 60
d2 σ/dpdΩ
1151.84
936.01
615.56
387.53
189.44
49.07
±
±
±
±
±
±
±
±
±
19.18
15.59
11.90
9.27
5.48
2.07
5.64
3.22
1.23
105 < θ < 125
d2 σ/dpdΩ
367.03 ±
6.81
173.37 ±
4.17
70.06 ±
2.73
15.90 ±
1.18
Table A.23: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π + ’s in π + + Ta → π + + X interactions with +8.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.116
0.146
0.180
0.220
0.270
0.329
0.389
0.459
0.547
0.655
hθi
25.0
24.8
24.9
24.7
24.9
24.8
24.8
24.8
24.8
24.8
20 < θ < 30
d2 σ/dpdΩ
521.85 ± 23.45 ±
557.41 ± 21.88 ±
659.58 ± 19.81 ±
691.15 ± 20.19 ±
667.49 ± 16.01 ±
571.14 ± 14.69 ±
489.31 ± 13.41 ±
354.99 ±
9.68 ±
251.66 ±
7.16 ±
148.60 ±
4.75 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.116
0.146
0.180
0.221
0.271
0.332
0.392
0.463
0.552
0.666
0.810
hθi
45.0
44.7
45.0
44.8
44.7
44.8
44.7
44.7
44.7
44.6
44.5
40 < θ < 50
d2 σ/dpdΩ
392.41 ± 20.00 ±
463.57 ± 18.84 ±
466.86 ± 16.23 ±
460.20 ± 16.13 ±
396.13 ± 12.29 ±
393.41 ± 12.32 ±
286.18 ± 10.62 ±
219.58 ±
7.72 ±
154.51 ±
5.89 ±
90.21 ±
3.86 ±
40.67 ±
1.94 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.146
0.180
0.221
0.270
0.331
0.392
0.461
0.553
0.660
0.805
1.053
hθi
66.7
67.1
67.3
67.0
66.8
66.8
66.8
66.7
67.0
66.6
66.5
60 < θ < 75
d2 σ/dpdΩ
318.03 ± 14.85 ±
300.20 ± 10.41 ±
304.84 ± 10.71 ±
255.23 ±
8.22 ±
204.59 ±
7.44 ±
165.41 ±
6.68 ±
105.47 ±
4.49 ±
74.85 ±
3.36 ±
45.88 ±
2.32 ±
17.33 ±
1.08 ±
3.58 ±
0.29 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.152
0.181
0.221
0.269
0.331
0.394
0.461
0.553
0.664
0.803
1.081
hθi
99.4
97.9
97.6
97.8
97.2
96.9
97.1
96.7
96.4
95.1
95.6
90 < θ < 105
d2 σ/dpdΩ
163.56 ± 16.38 ±
227.08 ± 11.10 ±
199.17 ±
9.18 ±
152.62 ±
6.68 ±
92.43 ±
5.21 ±
62.62 ±
4.15 ±
42.37 ±
2.98 ±
23.13 ±
1.86 ±
10.36 ±
1.09 ±
3.25 ±
0.48 ±
0.48 ±
0.10 ±
hpT i
0.115
0.145
0.180
0.220
0.270
0.329
0.389
0.458
0.546
0.654
0.799
hθi
35.0
34.8
34.9
34.9
34.8
34.8
34.7
34.8
34.9
34.6
34.7
30 < θ < 40
d2 σ/dpdΩ
497.71 ± 22.04 ±
522.86 ± 20.32 ±
521.51 ± 17.34 ±
546.47 ± 17.74 ±
547.80 ± 14.58 ±
466.76 ± 13.43 ±
386.13 ± 12.10 ±
297.97 ±
9.17 ±
200.92 ±
6.42 ±
111.82 ±
4.17 ±
51.76 ±
2.08 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.146
0.181
0.221
0.270
0.331
0.392
0.462
0.554
0.664
0.806
1.046
54.8
54.9
55.0
54.7
54.7
54.8
54.6
54.6
54.6
54.6
54.6
366.07
350.19
360.15
318.55
275.96
241.93
163.31
112.25
63.22
31.31
5.99
±
±
±
±
±
±
±
±
±
±
±
22.16
16.91
14.72
11.25
9.31
8.31
6.08
5.66
4.48
3.17
1.03
20.80
14.53
12.15
9.75
7.62
6.57
4.54
4.49
3.83
2.07
0.68
hpT i
0.152
0.181
0.221
0.271
0.331
0.391
0.462
0.554
0.664
0.800
1.040
hθi
81.1
81.8
81.8
81.7
81.8
81.6
82.1
81.6
81.8
81.9
80.3
75 < θ < 90
d2 σ/dpdΩ
192.23 ± 19.03 ±
281.09 ± 12.20 ±
242.81 ± 10.15 ±
196.12 ±
7.56 ±
143.35 ±
6.56 ±
93.43 ±
5.23 ±
68.20 ±
3.72 ±
45.45 ±
2.68 ±
26.23 ±
1.79 ±
7.59 ±
0.72 ±
1.17 ±
0.15 ±
48.43
18.72
11.06
9.84
8.01
5.28
3.86
3.42
2.66
1.07
0.27
28.88
13.92
8.23
7.56
5.26
3.78
3.40
2.43
1.46
0.62
0.14
hpT i
0.142
0.179
0.219
0.268
0.330
0.391
0.460
0.547
0.646
0.794
1.019
hθi
112.8
114.3
114.5
114.3
114.1
113.4
113.5
113.1
112.6
114.8
109.4
105 < θ < 125
d2 σ/dpdΩ
265.81 ± 62.98 ±
170.87 ±
6.83 ±
119.92 ±
5.81 ±
78.17 ±
4.00 ±
47.17 ±
3.01 ±
32.75 ±
2.51 ±
16.75 ±
1.50 ±
5.97 ±
0.78 ±
3.29 ±
0.52 ±
0.28 ±
0.09 ±
0.08 ±
0.03 ±
13.54
6.57
4.10
3.44
2.78
2.63
1.77
0.84
0.61
0.07
0.03
41.39
33.06
33.27
31.15
24.74
18.63
15.34
13.01
13.18
11.52
29.58
26.91
22.69
19.34
14.21
12.44
9.48
7.57
7.33
6.03
4.12
46
±
±
±
±
±
±
±
±
±
±
±
16.89
13.73
14.18
11.03
10.39
9.74
6.71
4.97
3.32
1.78
0.44
37.08
29.96
25.40
23.26
19.92
14.84
11.72
10.54
9.63
7.89
5.80
Table A.24: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π − ’s in π + + Ta → π − + X interactions with +8.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.115
0.145
0.180
0.220
0.269
0.330
0.388
0.458
0.544
0.654
hθi
25.0
25.0
24.8
24.9
24.9
24.7
25.0
24.8
24.8
24.9
20 < θ < 30
d2 σ/dpdΩ
657.44 ± 25.83 ±
636.56 ± 23.23 ±
614.08 ± 18.61 ±
644.76 ± 18.81 ±
551.35 ± 14.29 ±
424.38 ± 12.30 ±
343.60 ± 11.16 ±
238.79 ±
8.05 ±
149.71 ±
5.59 ±
76.81 ±
3.64 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.115
0.145
0.180
0.218
0.268
0.326
0.386
0.454
0.538
0.648
0.786
hθi
44.9
45.1
44.9
44.8
44.8
44.7
44.8
44.7
44.8
44.9
44.6
40 < θ < 50
d2 σ/dpdΩ
511.68 ± 22.83 ±
489.71 ± 19.54 ±
445.26 ± 15.54 ±
418.80 ± 15.11 ±
383.66 ± 12.01 ±
334.91 ± 11.28 ±
269.36 ± 10.10 ±
168.15 ±
6.71 ±
117.12 ±
4.98 ±
59.27 ±
3.19 ±
27.50 ±
1.75 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.145
0.179
0.218
0.266
0.327
0.386
0.454
0.539
0.643
0.783
1.006
hθi
67.2
67.4
67.0
67.0
66.9
67.0
66.7
66.6
66.9
66.4
66.4
60 < θ < 75
d2 σ/dpdΩ
392.51 ± 15.98 ±
353.14 ± 11.41 ±
303.94 ± 10.74 ±
259.45 ±
8.27 ±
187.22 ±
7.06 ±
141.61 ±
6.08 ±
100.19 ±
4.30 ±
63.00 ±
3.04 ±
33.40 ±
1.96 ±
12.65 ±
0.94 ±
2.45 ±
0.26 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.178
0.218
0.265
0.327
0.385
0.449
0.539
0.645
0.772
1.037
97.8
97.4
97.4
97.3
97.3
97.1
97.3
96.1
96.9
94.7
254.26
191.71
141.58
88.62
59.72
35.93
19.67
9.35
2.73
0.44
±
±
±
±
±
±
±
±
±
±
11.58
9.20
6.49
5.07
4.06
2.63
1.70
1.07
0.43
0.10
±
±
±
±
±
±
±
±
±
±
hpT i
0.115
0.145
0.179
0.219
0.269
0.329
0.387
0.458
0.545
0.655
0.802
hθi
34.9
34.9
34.9
34.7
34.8
34.8
34.9
34.9
35.0
34.9
34.9
30 < θ < 40
d2 σ/dpdΩ
546.53 ± 23.11 ±
549.07 ± 20.79 ±
565.22 ± 17.69 ±
516.70 ± 16.87 ±
455.26 ± 12.95 ±
389.93 ± 12.03 ±
296.79 ± 10.40 ±
213.16 ±
7.54 ±
133.80 ±
5.34 ±
67.95 ±
3.37 ±
35.22 ±
1.98 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.145
0.179
0.218
0.268
0.327
0.385
0.453
0.540
0.645
0.790
1.004
54.8
54.8
54.7
54.6
54.8
54.8
54.6
54.8
54.8
54.5
55.1
433.97
397.34
331.02
301.98
257.32
204.32
146.16
88.13
46.35
19.45
5.11
±
±
±
±
±
±
±
±
±
±
±
26.75
19.59
13.59
10.66
8.64
6.92
5.84
4.87
3.60
2.13
0.86
23.14
16.29
11.92
9.61
7.09
5.54
4.55
3.96
2.89
1.53
0.46
hpT i
0.150
0.179
0.218
0.266
0.327
0.386
0.456
0.537
0.642
0.783
1.009
hθi
80.7
81.8
81.9
81.8
81.6
81.8
81.7
81.9
81.0
80.5
80.8
75 < θ < 90
d2 σ/dpdΩ
263.46 ± 24.52 ±
321.26 ± 13.12 ±
257.40 ± 10.54 ±
179.33 ±
7.35 ±
129.79 ±
6.14 ±
98.91 ±
5.27 ±
62.34 ±
3.53 ±
41.56 ±
2.50 ±
16.40 ±
1.34 ±
5.68 ±
0.67 ±
1.03 ±
0.17 ±
79.38
19.24
12.40
10.19
6.97
5.39
3.90
3.35
1.80
0.85
0.23
13.00
9.06
7.49
5.17
4.04
3.06
2.27
1.45
0.58
0.14
hpT i
0.144
0.177
0.218
0.266
0.327
0.388
0.450
0.533
0.653
0.760
0.986
hθi
114.4
114.1
114.1
113.8
113.9
114.3
112.1
112.2
111.1
111.0
110.6
105 < θ < 125
d2 σ/dpdΩ
249.63 ± 11.13 ±
170.81 ±
7.00 ±
115.70 ±
5.86 ±
74.16 ±
3.83 ±
44.74 ±
2.92 ±
27.12 ±
2.22 ±
16.62 ±
1.51 ±
6.56 ±
0.83 ±
1.72 ±
0.37 ±
0.34 ±
0.12 ±
0.04 ±
0.02 ±
12.41
6.24
4.30
3.60
3.03
2.49
1.99
1.04
0.36
0.10
0.02
52.07
40.08
30.83
26.77
19.84
12.29
10.28
9.04
7.70
5.55
39.41
29.35
22.13
17.62
13.70
10.61
8.62
6.37
6.17
4.40
2.89
47
±
±
±
±
±
±
±
±
±
±
±
18.40
14.65
13.39
10.64
9.99
8.80
6.39
4.35
2.75
1.43
0.51
43.38
32.45
27.91
21.46
15.41
11.58
8.77
7.65
6.64
4.75
3.51
Table A.25: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
protons in π − + Ta → p + X interactions with −8.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.220
0.269
0.329
0.389
0.457
0.546
0.655
hθi
25.1
25.2
25.3
25.3
25.4
25.5
25.5
20 < θ < 30
d2 σ/dpdΩ
1255.33 ± 28.72
1110.74 ± 21.49
858.36 ± 19.51
640.13 ± 17.18
457.88 ± 12.49
310.01 ±
9.47
191.74 ±
6.75
pT
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.329
0.389
0.458
0.546
0.655
0.800
hθi
45.1
45.1
45.1
45.2
45.1
45.1
40 < θ < 50
d2 σ/dpdΩ
1182.50 ± 20.65
1025.38 ± 19.56
744.26 ± 15.12
523.53 ± 12.17
336.67 ±
9.17
167.37 ±
5.47
pT
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.546
0.653
0.798
1.027
hθi
67.4
67.2
67.2
66.9
60 < θ < 75
d2 σ/dpdΩ
567.96 ±
9.05
336.37 ±
6.88
156.34 ±
4.21
40.89 ±
1.62
pT
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.650
0.789
97.3
96.6
170.46
54.77
±
±
4.42
2.34
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
30 < θ < 40
d2 σ/dpdΩ
hpT i
hθi
0.270
0.329
0.388
0.458
0.547
0.654
0.799
34.9
35.1
35.1
35.2
35.2
35.2
35.3
hpT i
hθi
0.389
0.457
0.547
0.655
0.797
1.037
55.1
55.0
55.0
54.9
55.0
55.1
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
22.44
20.38
15.91
6.77
0.652
0.793
1.021
81.8
81.7
81.4
269.40
109.69
21.26
15.56
6.62
hpT i
0.459
0.542
0.649
0.793
hθi
113.9
112.9
112.7
112.3
67.81
54.34
42.45
34.45
25.67
21.15
15.40
40.20
30.00
25.58
28.98
24.66
17.23
48
1269.46
1079.55
858.65
633.26
455.19
289.32
139.47
±
±
±
±
±
±
±
22.86
20.40
18.81
14.54
11.31
8.34
4.80
±
±
±
±
±
±
±
56.06
41.38
33.06
29.40
25.67
19.57
13.41
±
±
±
±
±
±
36.40
24.16
23.59
23.28
16.11
6.80
±
±
±
19.37
11.38
3.83
±
±
±
±
20.19
16.29
8.73
3.15
50 < θ < 60
d2 σ/dpdΩ
1024.73
833.99
566.48
342.88
166.65
45.24
±
±
±
±
±
±
±
±
±
18.53
15.11
11.93
9.03
5.46
2.05
5.62
3.25
1.18
105 < θ < 125
d2 σ/dpdΩ
329.96 ±
6.77
172.81 ±
4.29
59.07 ±
2.59
13.43 ±
1.14
Table A.26: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π + ’s in π − + Ta → π + + X interactions with −8.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.115
0.146
0.180
0.220
0.269
0.329
0.389
0.458
0.547
0.658
hθi
24.8
24.8
25.0
25.0
24.9
24.8
24.9
24.9
25.1
24.8
20 < θ < 30
d2 σ/dpdΩ
479.33 ± 22.64 ±
471.13 ± 19.79 ±
561.90 ± 18.19 ±
572.42 ± 18.15 ±
561.20 ± 14.61 ±
461.38 ± 13.23 ±
360.13 ± 11.37 ±
256.44 ±
8.20 ±
171.26 ±
5.82 ±
105.22 ±
3.97 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.116
0.144
0.180
0.221
0.269
0.329
0.389
0.458
0.547
0.655
0.792
hθi
44.9
44.9
45.1
44.8
44.8
44.7
44.7
44.6
44.7
44.8
44.9
40 < θ < 50
d2 σ/dpdΩ
370.96 ± 20.55 ±
384.96 ± 17.74 ±
376.26 ± 14.73 ±
375.35 ± 14.73 ±
358.13 ± 11.82 ±
298.66 ± 10.79 ±
221.59 ±
9.11 ±
171.26 ±
6.96 ±
117.19 ±
5.07 ±
67.14 ±
3.30 ±
26.46 ±
1.53 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.146
0.179
0.219
0.269
0.329
0.387
0.458
0.547
0.653
0.790
1.027
hθi
66.8
67.1
67.3
67.3
67.1
66.5
67.0
66.4
66.5
66.8
66.3
60 < θ < 75
d2 σ/dpdΩ
289.14 ± 14.95 ±
270.03 ±
9.98 ±
256.54 ±
9.94 ±
237.29 ±
8.03 ±
176.20 ±
7.01 ±
124.07 ±
5.74 ±
96.41 ±
4.34 ±
62.98 ±
3.06 ±
36.89 ±
2.09 ±
13.93 ±
0.95 ±
2.62 ±
0.24 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.150
0.180
0.219
0.266
0.329
0.389
0.457
0.544
0.652
0.786
1.061
hθi
99.2
98.2
97.6
97.0
97.2
97.3
97.3
96.5
96.8
96.3
95.1
90 < θ < 105
d2 σ/dpdΩ
159.61 ± 17.44 ±
246.74 ± 12.21 ±
200.02 ±
9.75 ±
129.40 ±
6.42 ±
90.32 ±
5.33 ±
54.80 ±
4.01 ±
35.26 ±
2.68 ±
18.65 ±
1.66 ±
6.55 ±
0.87 ±
3.11 ±
0.45 ±
0.28 ±
0.07 ±
39.70
27.39
28.21
24.70
20.60
14.83
10.77
9.27
8.83
8.14
29.75
22.35
18.35
16.09
12.74
9.25
6.48
5.75
5.34
4.41
2.67
21.73
13.20
10.21
8.73
6.75
4.43
4.15
3.73
3.06
1.67
0.51
33.42
19.64
10.56
7.40
5.60
3.61
2.77
1.97
0.92
0.60
0.09
49
hpT i
0.116
0.145
0.179
0.220
0.269
0.329
0.389
0.458
0.547
0.654
0.793
hθi
34.9
34.9
34.8
35.0
34.8
34.9
34.9
34.7
34.9
34.5
34.9
30 < θ < 40
d2 σ/dpdΩ
402.49 ± 19.83 ±
424.25 ± 18.12 ±
461.03 ± 16.27 ±
465.31 ± 16.49 ±
447.22 ± 13.18 ±
377.39 ± 12.09 ±
318.78 ± 11.15 ±
216.03 ±
7.56 ±
147.34 ±
5.53 ±
91.74 ±
3.79 ±
36.77 ±
1.70 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.145
0.180
0.219
0.270
0.330
0.389
0.457
0.549
0.651
0.791
1.023
54.8
55.1
55.1
54.8
54.9
54.7
54.7
54.7
54.8
54.4
54.4
328.54
370.47
303.45
284.85
234.18
198.30
134.53
92.53
53.65
21.95
5.80
±
±
±
±
±
±
±
±
±
±
±
19.86
17.93
12.42
10.46
7.60
6.54
4.93
4.60
3.76
2.28
0.99
hpT i
0.149
0.181
0.219
0.268
0.327
0.390
0.455
0.543
0.651
0.783
1.040
hθi
81.4
81.9
81.9
82.0
81.6
81.8
82.2
81.1
81.5
81.9
80.8
75 < θ < 90
d2 σ/dpdΩ
145.40 ± 28.52 ±
236.39 ± 11.98 ±
214.06 ±
9.64 ±
178.43 ±
7.41 ±
114.84 ±
5.94 ±
81.99 ±
4.92 ±
60.10 ±
3.53 ±
38.31 ±
2.44 ±
18.01 ±
1.45 ±
6.17 ±
0.65 ±
1.41 ±
0.18 ±
19.73
19.32
9.22
9.31
6.42
4.42
3.49
2.85
1.81
0.87
0.32
hpT i
0.145
0.179
0.218
0.268
0.326
0.386
0.456
0.537
0.664
0.812
hθi
115.2
114.7
113.4
114.0
114.3
113.9
113.2
113.3
109.4
114.3
105 < θ < 125
d2 σ/dpdΩ
289.66 ± 15.70 ±
175.67 ±
7.62 ±
113.15 ±
5.92 ±
65.37 ±
3.61 ±
45.71 ±
3.06 ±
24.35 ±
2.20 ±
11.38 ±
1.22 ±
6.09 ±
0.80 ±
1.05 ±
0.29 ±
0.38 ±
0.12 ±
35.45
6.60
3.94
2.70
2.78
1.97
1.21
0.86
0.20
0.10
±
±
±
±
±
±
±
±
±
±
±
16.26
14.57
13.04
10.65
9.63
8.83
6.09
4.56
3.04
1.43
0.43
29.60
24.31
22.32
19.66
16.35
11.41
9.83
7.13
6.88
6.43
4.14
Table A.27: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π − ’s in π − + Ta → π − + X interactions with −8.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.116
0.145
0.181
0.219
0.269
0.329
0.389
0.458
0.546
0.653
hθi
24.8
24.9
25.0
24.9
24.9
24.9
24.9
24.8
24.9
24.7
20 < θ < 30
d2 σ/dpdΩ
680.46 ± 27.46 ±
734.83 ± 25.30 ±
794.68 ± 22.22 ±
796.99 ± 21.80 ±
749.03 ± 17.25 ±
636.70 ± 15.89 ±
465.02 ± 13.30 ±
374.73 ± 10.47 ±
241.39 ±
7.45 ±
144.51 ±
5.14 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.115
0.145
0.180
0.219
0.269
0.329
0.388
0.458
0.546
0.655
0.796
hθi
45.1
45.2
44.8
44.6
44.9
44.7
44.7
44.9
44.8
44.7
45.0
40 < θ < 50
d2 σ/dpdΩ
550.47 ± 24.95 ±
557.95 ± 21.52 ±
529.46 ± 17.74 ±
571.79 ± 18.73 ±
458.59 ± 13.60 ±
401.73 ± 12.71 ±
326.67 ± 11.35 ±
230.04 ±
8.17 ±
158.31 ±
6.04 ±
83.15 ±
3.91 ±
42.72 ±
2.22 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.146
0.179
0.219
0.268
0.329
0.388
0.458
0.544
0.653
0.794
1.015
hθi
67.2
67.1
67.0
67.0
67.1
66.8
66.7
66.7
66.7
66.7
66.7
60 < θ < 75
d2 σ/dpdΩ
462.28 ± 18.20 ±
377.05 ± 12.35 ±
350.86 ± 12.02 ±
275.19 ±
8.85 ±
223.36 ±
7.93 ±
163.00 ±
6.71 ±
131.40 ±
5.18 ±
77.73 ±
3.47 ±
42.32 ±
2.31 ±
18.21 ±
1.17 ±
3.29 ±
0.32 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.148
0.179
0.219
0.268
0.328
0.388
0.457
0.542
0.651
0.786
1.029
hθi
98.8
98.1
97.2
96.8
97.1
96.5
96.9
96.9
95.9
96.3
96.4
90 < θ < 105
d2 σ/dpdΩ
282.32 ± 33.52 ±
319.07 ± 13.77 ±
225.75 ± 10.36 ±
152.53 ±
6.93 ±
99.00 ±
5.53 ±
64.97 ±
4.41 ±
42.49 ±
2.94 ±
25.89 ±
2.03 ±
9.82 ±
1.11 ±
3.72 ±
0.52 ±
0.46 ±
0.11 ±
hpT i
0.116
0.146
0.180
0.220
0.269
0.329
0.389
0.459
0.546
0.653
0.798
hθi
34.8
34.9
34.9
34.8
34.7
34.8
34.7
34.8
34.7
34.8
34.8
30 < θ < 40
d2 σ/dpdΩ
618.38 ± 25.28 ±
639.11 ± 23.25 ±
666.99 ± 19.93 ±
663.29 ± 19.94 ±
614.31 ± 15.71 ±
509.17 ± 14.27 ±
390.27 ± 12.40 ±
286.05 ±
9.08 ±
180.23 ±
6.43 ±
117.53 ±
4.67 ±
50.51 ±
2.44 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.146
0.179
0.220
0.268
0.329
0.388
0.458
0.545
0.654
0.798
1.032
54.9
54.9
55.0
54.8
54.9
54.7
54.8
54.7
54.8
54.9
54.8
515.20
475.32
434.29
367.12
293.61
234.21
189.00
118.27
65.24
24.94
6.15
±
±
±
±
±
±
±
±
±
±
±
31.51
23.30
18.21
12.97
9.39
7.38
7.48
6.44
4.95
2.73
1.07
27.15
17.29
13.96
10.74
8.18
6.19
6.19
4.84
3.63
2.20
0.61
hpT i
0.148
0.180
0.219
0.269
0.329
0.388
0.459
0.548
0.651
0.795
1.028
hθi
80.2
81.9
82.0
81.8
81.9
81.9
81.6
81.3
81.3
82.4
81.3
75 < θ < 90
d2 σ/dpdΩ
323.30 ± 30.87 ±
408.05 ± 30.93 ±
271.94 ± 11.28 ±
210.58 ±
8.17 ±
159.16 ±
7.08 ±
99.58 ±
5.48 ±
73.35 ±
3.99 ±
49.56 ±
2.82 ±
21.65 ±
1.67 ±
6.98 ±
0.73 ±
1.50 ±
0.23 ±
72.32
29.23
13.33
11.15
9.05
5.61
4.69
3.96
2.34
1.03
0.33
67.61
21.94
10.70
7.85
5.69
4.47
3.56
2.95
1.50
0.77
0.14
hpT i
0.145
0.178
0.219
0.266
0.329
0.390
0.458
0.551
0.644
0.799
0.986
hθi
113.7
113.7
113.9
114.2
114.0
113.4
113.5
111.9
111.5
112.6
115.1
105 < θ < 125
d2 σ/dpdΩ
300.22 ± 12.73 ±
201.76 ±
7.97 ±
133.79 ±
6.48 ±
83.72 ±
4.17 ±
52.70 ±
3.34 ±
36.04 ±
2.66 ±
21.92 ±
1.82 ±
11.45 ±
1.11 ±
4.31 ±
0.63 ±
0.48 ±
0.13 ±
0.04 ±
0.02 ±
14.54
7.23
4.79
3.92
3.61
3.26
2.59
1.78
0.87
0.14
0.02
55.16
43.12
39.56
33.02
25.49
19.14
13.61
13.92
12.26
10.35
42.68
33.22
26.16
24.97
16.01
12.20
9.74
8.55
8.24
6.11
4.49
50
±
±
±
±
±
±
±
±
±
±
±
21.00
16.75
16.29
12.20
10.96
9.62
7.52
5.20
3.52
1.65
0.53
46.80
37.51
32.72
27.44
21.48
14.95
11.24
10.08
8.83
8.13
4.97
Table A.28: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
protons in p + Ta → p + X interactions with +12.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.221
0.269
0.329
0.389
0.458
0.547
0.655
hθi
25.2
25.1
25.2
25.4
25.3
25.3
25.3
20 < θ < 30
d2 σ/dpdΩ
1697.60 ± 32.16
1499.10 ± 23.75
1199.17 ± 21.94
947.24 ± 20.00
747.63 ± 15.51
532.26 ± 11.78
347.90 ±
8.77
pT
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.329
0.390
0.459
0.547
0.656
0.801
1.040
hθi
45.2
45.1
45.2
45.1
44.9
44.9
44.8
40 < θ < 50
d2 σ/dpdΩ
1596.25 ± 23.02
1402.18 ± 22.09
1052.93 ± 17.25
786.95 ± 14.12
490.40 ± 10.57
270.28 ±
6.59
82.80 ±
2.64
pT
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.549
0.659
0.803
1.043
hθi
67.3
67.2
67.3
66.8
60 < θ < 75
d2 σ/dpdΩ
742.82 ±
9.84
463.44 ±
7.68
229.21 ±
4.84
62.08 ±
1.90
pT
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.655
0.798
97.2
97.1
216.23
75.58
±
±
4.81
2.65
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
30 < θ < 40
d2 σ/dpdΩ
hpT i
hθi
0.271
0.330
0.389
0.458
0.547
0.655
0.803
34.8
35.1
35.0
35.2
35.1
35.2
35.1
hpT i
hθi
0.389
0.458
0.547
0.654
0.800
1.034
55.1
55.1
55.0
54.9
54.9
54.9
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
29.30
27.40
22.54
10.04
0.657
0.804
1.039
81.9
81.6
81.4
363.39
153.01
35.59
19.44
9.14
hpT i
0.461
0.546
0.655
0.793
hθi
113.9
113.1
112.6
112.5
91.13
72.10
58.35
49.36
41.26
33.80
27.90
54.21
39.61
36.36
39.95
34.30
25.70
12.33
51
1591.89
1439.86
1230.85
930.98
699.89
459.74
261.89
±
±
±
±
±
±
±
24.06
22.48
21.72
16.79
13.42
10.05
6.28
±
±
±
±
±
±
±
69.38
53.99
45.75
40.63
36.80
30.73
23.38
±
±
±
±
±
±
49.26
32.24
33.13
32.49
23.54
10.17
±
±
±
25.82
15.72
6.10
±
±
±
±
24.63
19.70
11.61
5.48
50 < θ < 60
d2 σ/dpdΩ
1433.61
1150.44
795.23
509.73
258.44
73.63
±
±
±
±
±
±
±
±
±
21.04
17.22
13.47
10.58
6.41
2.46
6.28
3.70
1.42
105 < θ < 125
d2 σ/dpdΩ
411.27 ±
6.83
209.18 ±
4.49
80.31 ±
2.87
24.21 ±
1.45
Table A.29: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π + ’s in p + Ta → π + + X interactions with +12.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.115
0.145
0.179
0.220
0.269
0.329
0.389
0.458
0.548
0.656
hθi
25.0
24.8
25.0
24.9
24.8
24.8
24.8
24.8
24.8
24.9
20 < θ < 30
d2 σ/dpdΩ
568.88 ± 24.38 ±
693.68 ± 24.37 ±
751.11 ± 20.99 ±
786.68 ± 21.02 ±
741.20 ± 16.50 ±
633.29 ± 15.20 ±
498.22 ± 13.30 ±
358.74 ±
9.42 ±
252.84 ±
6.97 ±
156.08 ±
4.69 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.116
0.146
0.180
0.220
0.269
0.330
0.389
0.457
0.546
0.657
0.799
hθi
45.1
44.9
44.9
44.9
44.8
44.7
44.7
44.7
44.7
44.5
44.6
40 < θ < 50
d2 σ/dpdΩ
459.23 ± 21.12 ±
492.69 ± 19.30 ±
516.21 ± 16.65 ±
480.56 ± 16.28 ±
431.09 ± 12.56 ±
395.74 ± 12.19 ±
315.76 ± 10.81 ±
221.87 ±
7.75 ±
156.00 ±
5.72 ±
88.56 ±
3.82 ±
43.30 ±
1.88 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.146
0.180
0.220
0.269
0.330
0.390
0.460
0.550
0.660
0.801
1.051
hθi
67.1
67.1
66.9
66.8
67.0
67.1
66.7
66.5
66.6
66.8
66.0
60 < θ < 75
d2 σ/dpdΩ
358.83 ± 14.72 ±
354.17 ± 11.16 ±
354.03 ± 11.23 ±
306.46 ±
8.93 ±
201.84 ±
7.27 ±
169.45 ±
6.65 ±
128.64 ±
4.91 ±
77.80 ±
3.37 ±
41.47 ±
2.15 ±
16.97 ±
1.04 ±
3.68 ±
0.29 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.180
0.220
0.269
0.328
0.389
0.463
0.549
0.658
0.796
1.016
97.9
97.6
97.2
97.4
97.7
96.6
97.4
96.7
96.4
96.1
250.00
206.30
152.62
87.73
55.72
37.49
19.33
9.98
3.19
0.49
±
±
±
±
±
±
±
±
±
±
10.75
9.02
6.55
4.95
3.90
2.67
1.69
1.06
0.45
0.09
±
±
±
±
±
±
±
±
±
±
hpT i
0.115
0.146
0.180
0.220
0.269
0.329
0.389
0.459
0.548
0.656
0.799
hθi
35.0
34.8
35.0
34.7
34.8
34.8
34.7
34.8
34.8
34.9
34.5
30 < θ < 40
d2 σ/dpdΩ
523.05 ± 22.20 ±
556.08 ± 20.45 ±
585.96 ± 18.18 ±
633.44 ± 18.86 ±
593.76 ± 14.82 ±
509.45 ± 13.88 ±
403.09 ± 12.12 ±
302.18 ±
8.95 ±
195.08 ±
6.20 ±
119.51 ±
4.24 ±
53.02 ±
1.98 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.145
0.181
0.220
0.268
0.329
0.389
0.459
0.546
0.654
0.796
1.042
55.0
54.8
55.0
54.8
54.8
54.7
54.7
54.7
54.5
54.7
54.8
403.89
416.75
397.35
356.36
287.73
245.08
178.02
118.64
68.94
31.98
7.67
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
22.10
17.02
13.93
11.81
7.55
6.78
5.59
4.65
3.49
2.04
0.70
0.182
0.220
0.269
0.330
0.390
0.462
0.549
0.656
0.794
1.043
81.6
81.8
81.5
81.6
82.0
82.0
81.7
80.9
81.4
81.2
286.19
242.81
214.04
137.42
95.30
75.41
44.31
25.35
7.66
1.45
12.16
7.62
7.36
4.66
3.52
2.92
2.05
1.42
0.62
0.15
hpT i
0.145
0.179
0.219
0.268
0.327
0.388
0.461
0.545
0.657
0.787
1.062
hθi
114.6
114.5
114.4
113.7
113.6
113.2
113.3
112.1
111.4
109.5
109.1
45.72
42.03
38.09
34.17
26.75
20.47
15.78
12.97
13.09
12.10
34.44
28.50
24.95
20.11
14.98
12.46
9.51
7.69
7.29
5.85
4.49
52
±
±
±
±
±
±
±
±
±
±
±
38.61
31.73
28.31
27.23
20.78
16.19
11.88
10.28
9.33
8.48
5.96
±
±
±
±
±
±
±
±
±
±
±
24.42
19.99
16.08
12.95
9.30
7.95
6.63
5.98
4.88
3.27
1.33
±
±
±
±
±
±
±
±
±
±
15.68
9.58
10.84
7.57
5.14
4.53
3.35
2.59
1.09
0.33
105 < θ < 125
d2 σ/dpdΩ
196.16 ±
9.11 ±
179.82 ±
6.78 ±
145.78 ±
6.36 ±
79.60 ±
3.93 ±
41.05 ±
2.82 ±
25.00 ±
2.18 ±
16.21 ±
1.47 ±
7.85 ±
0.87 ±
2.17 ±
0.41 ±
0.68 ±
0.17 ±
0.05 ±
0.02 ±
10.89
7.50
5.01
3.38
2.50
2.05
1.74
1.13
0.41
0.18
0.02
±
±
±
±
±
±
±
±
±
±
17.51
14.60
14.54
11.66
10.40
9.55
7.01
5.00
3.38
1.77
0.48
11.49
9.72
7.80
6.30
5.20
3.91
2.62
1.75
0.71
0.17
Table A.30: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π − ’s in p + Ta → π − + X interactions with +12.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.116
0.145
0.180
0.220
0.269
0.329
0.389
0.457
0.546
0.653
hθi
25.0
25.1
25.0
25.0
25.0
24.9
24.9
24.8
24.8
25.0
20 < θ < 30
d2 σ/dpdΩ
801.53 ± 27.91 ±
857.05 ± 26.32 ±
852.65 ± 21.69 ±
795.64 ± 20.69 ±
700.51 ± 15.79 ±
514.65 ± 13.43 ±
404.53 ± 11.96 ±
298.50 ±
8.87 ±
183.56 ±
6.02 ±
95.06 ±
3.89 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.116
0.145
0.179
0.219
0.269
0.329
0.387
0.458
0.547
0.654
0.791
hθi
45.0
44.8
44.8
44.7
44.8
44.8
45.0
44.8
44.7
45.0
45.2
40 < θ < 50
d2 σ/dpdΩ
624.00 ± 24.81 ±
615.04 ± 21.48 ±
615.17 ± 18.11 ±
587.27 ± 17.68 ±
482.80 ± 13.24 ±
405.83 ± 12.09 ±
302.36 ± 10.48 ±
207.67 ±
7.30 ±
127.64 ±
5.01 ±
73.07 ±
3.59 ±
28.18 ±
1.67 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.145
0.179
0.219
0.268
0.327
0.387
0.456
0.541
0.650
0.790
1.009
hθi
67.3
67.7
67.0
67.4
66.8
66.6
67.1
66.8
66.4
66.0
66.1
60 < θ < 75
d2 σ/dpdΩ
463.20 ± 16.84 ±
419.64 ± 12.30 ±
378.99 ± 11.71 ±
303.11 ±
8.80 ±
218.10 ±
7.44 ±
170.68 ±
6.66 ±
112.55 ±
4.51 ±
74.07 ±
3.20 ±
40.69 ±
2.18 ±
13.72 ±
0.97 ±
2.30 ±
0.25 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.146
0.180
0.218
0.267
0.327
0.387
0.456
0.540
0.648
0.773
1.027
hθi
98.0
97.9
97.7
97.2
96.9
97.4
96.5
97.0
96.1
96.0
95.8
90 < θ < 105
d2 σ/dpdΩ
534.10 ± 54.13 ±
301.97 ± 11.83 ±
249.65 ± 10.21 ±
167.66 ±
7.03 ±
101.26 ±
5.31 ±
65.66 ±
4.14 ±
44.05 ±
2.86 ±
20.54 ±
1.70 ±
7.82 ±
0.94 ±
2.27 ±
0.40 ±
0.19 ±
0.07 ±
hpT i
0.116
0.145
0.180
0.219
0.269
0.328
0.388
0.458
0.547
0.656
0.799
hθi
34.9
35.0
34.9
35.0
34.8
34.8
34.9
34.9
34.7
34.8
34.5
30 < θ < 40
d2 σ/dpdΩ
759.61 ± 26.50 ±
740.44 ± 23.67 ±
745.58 ± 19.95 ±
680.48 ± 19.01 ±
593.72 ± 14.63 ±
486.77 ± 13.28 ±
387.29 ± 11.70 ±
264.14 ±
8.25 ±
160.82 ±
5.71 ±
79.91 ±
3.50 ±
38.94 ±
1.97 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.145
0.179
0.219
0.269
0.328
0.389
0.457
0.547
0.654
0.797
1.018
55.0
55.0
54.8
54.7
54.8
54.8
54.6
54.7
54.7
54.9
54.3
554.87
534.06
461.13
378.92
289.39
238.70
161.93
103.54
60.83
21.16
5.34
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
27.17
19.16
14.18
10.97
7.69
7.16
5.11
4.66
3.52
1.67
0.44
0.180
0.219
0.267
0.327
0.387
0.456
0.541
0.646
0.778
1.012
81.8
82.1
81.8
81.7
81.7
81.6
81.8
81.4
82.0
82.7
370.72
291.27
238.50
149.58
104.98
72.51
40.41
16.96
4.25
0.97
165.09
13.43
10.47
9.25
5.69
4.30
3.76
2.39
1.22
0.48
0.06
hpT i
0.144
0.178
0.216
0.267
0.326
0.383
0.454
0.544
0.638
0.778
1.071
hθi
114.2
114.1
113.8
113.1
113.1
113.1
112.8
110.9
112.0
111.4
114.3
62.35
51.92
41.77
32.70
23.25
14.50
12.11
10.85
9.37
6.89
47.95
36.58
30.24
24.32
16.38
11.53
9.13
7.77
6.73
5.41
3.05
53
±
±
±
±
±
±
±
±
±
±
±
57.83
43.37
36.36
27.82
19.90
14.29
11.18
9.34
7.93
5.72
3.95
±
±
±
±
±
±
±
±
±
±
±
33.99
26.05
18.66
13.34
9.02
7.74
6.41
5.70
4.67
2.38
0.95
±
±
±
±
±
±
±
±
±
±
19.31
12.64
12.84
7.57
5.83
4.37
3.28
1.86
0.65
0.23
105 < θ < 125
d2 σ/dpdΩ
315.63 ± 13.57 ±
221.40 ±
7.74 ±
137.30 ±
6.21 ±
82.54 ±
3.99 ±
43.22 ±
2.83 ±
28.41 ±
2.27 ±
14.12 ±
1.36 ±
5.11 ±
0.73 ±
2.31 ±
0.42 ±
0.17 ±
0.08 ±
0.04 ±
0.02 ±
16.88
8.11
4.96
3.94
2.96
2.65
1.72
0.82
0.50
0.05
0.02
±
±
±
±
±
±
±
±
±
±
20.52
17.10
15.52
11.83
10.33
9.35
6.54
4.62
3.21
1.42
0.46
13.20
10.90
8.30
6.49
5.38
3.70
2.40
1.42
0.53
0.16
Table A.31: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
protons in π + + Ta → p + X interactions with +12.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.220
0.270
0.331
0.386
0.458
0.545
0.656
hθi
25.0
25.1
25.2
25.5
25.3
25.2
25.3
20 < θ < 30
d2 σ/dpdΩ
1316.70 ± 94.07
1218.70 ± 72.92
959.99 ± 66.74
716.87 ± 59.00
644.94 ± 48.59
414.41 ± 34.75
286.46 ± 26.56
pT
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.330
0.388
0.458
0.547
0.655
0.800
1.028
hθi
45.1
45.0
45.0
45.3
44.9
45.0
45.1
40 < θ < 50
d2 σ/dpdΩ
1372.15 ± 71.60
1127.92 ± 66.98
864.59 ± 53.15
577.40 ± 41.27
413.34 ± 32.92
222.67 ± 20.42
65.46 ±
7.99
pT
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.548
0.658
0.804
1.032
hθi
68.0
67.1
66.9
66.5
60 < θ < 75
d2 σ/dpdΩ
665.79 ± 31.85
398.71 ± 24.26
176.42 ± 14.39
52.21 ±
5.90
pT
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.657
0.795
97.0
97.1
211.73
53.43
±
±
16.18
7.58
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
30 < θ < 40
d2 σ/dpdΩ
hpT i
hθi
0.271
0.329
0.388
0.458
0.547
0.651
0.804
34.9
35.0
35.2
35.0
35.4
35.2
34.8
hpT i
hθi
0.387
0.457
0.545
0.659
0.797
1.015
54.9
55.1
54.8
55.1
55.0
54.9
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
26.65
23.87
17.42
8.45
0.659
0.814
1.050
81.9
81.3
82.1
293.80
126.03
28.26
19.13
6.48
hpT i
0.462
0.545
0.649
0.790
hθi
114.2
113.2
113.5
113.1
71.37
59.48
47.19
37.75
36.08
26.60
23.16
49.15
33.14
31.05
30.43
29.48
21.32
9.74
54
1256.09
1141.91
1036.49
728.83
553.05
386.45
172.07
±
±
±
±
±
±
±
73.12
68.05
67.65
50.32
40.46
31.13
17.01
±
±
±
±
±
±
±
55.69
43.82
39.36
32.53
29.72
26.24
15.44
±
±
±
±
±
±
48.94
27.80
26.92
25.74
18.68
7.61
±
±
±
21.02
12.99
4.88
±
±
±
±
24.41
16.73
11.35
4.55
50 < θ < 60
d2 σ/dpdΩ
1252.67
950.77
625.03
395.68
204.13
54.94
±
±
±
±
±
±
±
±
±
65.89
53.29
40.65
31.79
19.39
7.20
19.20
11.39
4.30
105 < θ < 125
d2 σ/dpdΩ
402.56 ± 22.91
177.56 ± 14.16
77.66 ±
9.64
19.97 ±
4.49
Table A.32: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π + ’s in π + + Ta → π + + X interactions with +12.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.116
0.145
0.181
0.221
0.270
0.329
0.389
0.458
0.549
0.657
hθi
24.9
24.3
25.0
24.6
24.9
24.7
24.8
24.8
25.1
25.0
20 < θ < 30
d2 σ/dpdΩ
797.96 ± 100.72
657.76 ±
82.40
989.79 ±
83.79
876.84 ±
76.19
856.68 ±
60.96
793.02 ±
58.33
581.27 ±
49.38
475.32 ±
37.27
318.45 ±
27.03
193.54 ±
17.90
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.119
0.147
0.181
0.219
0.269
0.329
0.390
0.460
0.547
0.654
0.786
hθi
45.5
44.3
44.7
45.0
44.4
44.9
44.8
44.6
44.5
43.9
44.9
40 < θ < 50
d2 σ/dpdΩ
291.13 ±
55.90
506.24 ±
68.79
496.60 ±
55.29
504.88 ±
57.99
466.10 ±
44.76
348.88 ±
39.03
375.55 ±
40.73
214.65 ±
26.03
163.75 ±
20.07
113.99 ±
14.82
45.42 ±
6.82
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.147
0.180
0.221
0.269
0.332
0.389
0.461
0.554
0.658
0.797
1.028
hθi
67.5
66.6
67.9
66.9
67.3
66.8
66.4
67.4
67.4
67.6
67.7
60 < θ < 75
d2 σ/dpdΩ
471.53 ±
62.94
392.10 ±
39.70
406.58 ±
41.59
331.62 ±
31.89
217.61 ±
25.79
171.59 ±
23.12
148.73 ±
18.03
88.95 ±
12.32
47.70 ±
8.02
23.12 ±
4.23
4.41 ±
1.09
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.148
0.180
0.221
0.267
0.333
0.389
0.460
0.555
0.661
0.846
1.082
hθi
98.3
97.7
98.6
97.1
96.9
97.1
99.2
96.3
93.8
97.5
96.6
90 < θ < 105
d2 σ/dpdΩ
250.21 ±
80.22
268.21 ±
40.02
231.59 ±
33.26
158.79 ±
23.14
87.15 ±
17.20
66.26 ±
14.60
22.63 ±
7.16
28.33 ±
6.89
9.84 ±
3.61
3.94 ±
1.72
0.34 ±
0.15
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
67.08
45.06
51.41
38.53
31.53
26.32
18.88
17.45
16.61
15.03
22.07
31.11
24.22
21.26
16.54
11.38
11.58
7.57
7.71
7.55
4.70
35.67
19.01
16.20
13.08
8.43
7.02
6.53
5.33
4.01
2.78
0.84
87.33
18.44
9.90
8.48
5.15
4.38
1.77
2.97
1.39
0.76
0.10
55
hpT i
0.115
0.144
0.180
0.220
0.269
0.329
0.389
0.458
0.545
0.662
0.793
hθi
34.3
34.9
34.8
34.6
34.5
34.8
34.6
34.8
34.0
34.8
34.9
30 < θ < 40
d2 σ/dpdΩ
657.50 ± 86.06 ±
676.80 ± 80.42 ±
617.97 ± 63.67 ±
634.80 ± 64.45 ±
701.95 ± 54.96 ±
456.48 ± 44.76 ±
457.58 ± 44.02 ±
283.68 ± 29.75 ±
222.41 ± 22.54 ±
132.32 ± 15.27 ±
58.55 ±
7.39 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.146
0.180
0.220
0.275
0.328
0.388
0.461
0.548
0.658
0.789
1.043
54.9
54.9
54.7
54.6
54.6
54.4
54.7
55.2
55.2
54.7
53.1
403.02
474.10
402.94
419.13
383.94
238.98
191.98
127.40
59.66
30.19
8.61
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
0.183
0.220
0.269
0.329
0.394
0.465
0.545
0.666
0.778
1.042
81.1
81.0
81.3
81.6
81.3
81.2
82.5
81.8
82.4
80.7
343.99
244.11
184.49
179.23
96.47
72.32
58.30
22.71
8.15
1.49
hpT i
0.145
0.180
0.222
0.270
0.335
0.396
0.464
0.553
0.647
hθi
112.4
114.5
114.2
115.6
113.5
112.6
113.0
110.9
110.4
1.096
111.6
±
±
±
±
±
±
±
±
±
±
±
25.23
22.98
16.46
15.56
12.85
7.95
7.23
6.45
4.23
3.08
1.49
±
±
±
±
±
±
±
±
±
±
26.87
9.68
9.52
10.39
5.41
4.38
4.38
2.30
1.15
0.34
105 < θ < 125
d2 σ/dpdΩ
171.14 ± 27.51 ±
217.71 ± 27.13 ±
146.12 ± 21.89 ±
67.36 ± 12.32 ±
56.84 ± 11.59 ±
41.00 ±
9.75 ±
17.11 ±
5.20 ±
10.92 ±
3.64 ±
2.31 ±
1.35 ±
10.88
8.26
5.21
3.04
3.57
3.36
1.82
1.54
0.43
0.10
±
±
±
±
±
±
±
±
±
±
±
50.72
41.06
30.19
27.41
25.15
15.00
13.81
9.82
10.71
9.40
6.57
±
±
±
±
±
±
±
±
±
±
±
63.74
53.02
49.62
43.25
41.42
32.41
24.93
17.75
10.66
5.91
1.78
46.18
33.12
24.77
24.87
17.88
13.04
10.31
5.65
2.56
0.54
0.08
±
0.04
Table A.33: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π − ’s in π + + Ta → π − + X interactions with +12.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.115
0.144
0.180
0.218
0.269
0.326
0.391
0.457
0.543
0.642
hθi
24.7
25.0
25.2
24.9
25.0
24.8
25.0
24.6
25.1
24.4
20 < θ < 30
d2 σ/dpdΩ
762.56 ± 90.06 ±
728.36 ± 82.52 ±
804.99 ± 71.94 ±
834.54 ± 72.03 ±
825.07 ± 58.64 ±
600.86 ± 49.61 ±
443.74 ± 42.82 ±
279.71 ± 29.16 ±
213.41 ± 22.43 ±
130.02 ± 15.35 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.115
0.147
0.179
0.218
0.269
0.327
0.387
0.459
0.547
0.657
0.766
hθi
44.7
45.0
44.6
45.1
44.5
44.6
44.9
44.6
44.6
45.0
45.1
40 < θ < 50
d2 σ/dpdΩ
691.34 ± 95.10 ±
593.53 ± 74.24 ±
625.56 ± 61.92 ±
401.41 ± 49.83 ±
548.47 ± 48.29 ±
471.75 ± 44.37 ±
325.31 ± 37.17 ±
252.11 ± 27.38 ±
127.15 ± 17.00 ±
79.73 ± 12.64 ±
33.42 ±
6.21 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.145
0.178
0.219
0.268
0.328
0.384
0.462
0.541
0.651
0.795
0.983
hθi
66.5
66.7
67.1
67.2
67.2
66.4
67.2
65.4
66.5
64.9
65.2
60 < θ < 75
d2 σ/dpdΩ
427.09 ± 54.60 ±
380.94 ± 40.31 ±
378.23 ± 39.94 ±
276.98 ± 28.53 ±
208.62 ± 24.98 ±
142.84 ± 20.57 ±
102.21 ± 14.61 ±
77.04 ± 11.12 ±
43.98 ±
7.71 ±
10.02 ±
2.80 ±
3.45 ±
1.04 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.146
0.178
0.218
0.267
0.324
0.391
0.457
0.546
0.617
0.779
hθi
100.1
98.3
97.8
96.7
97.5
98.2
95.9
97.8
93.5
97.9
90 < θ < 105
d2 σ/dpdΩ
416.02 ± 93.83 ±
330.79 ± 41.06 ±
272.18 ± 37.56 ±
148.94 ± 23.30 ±
95.84 ± 18.12 ±
81.50 ± 15.99 ±
36.87 ±
8.97 ±
21.60 ±
5.99 ±
2.70 ±
1.91 ±
3.55 ±
1.62 ±
59.06
45.83
40.11
35.04
28.27
17.43
13.71
10.32
10.94
9.42
58.38
35.64
31.11
16.88
19.10
13.83
10.05
9.56
6.74
5.91
3.62
25.21
17.69
14.48
10.24
7.49
6.08
4.68
4.86
3.81
1.21
0.66
117.46
14.17
15.19
10.36
6.29
5.61
3.17
2.49
0.42
0.74
56
hpT i
0.117
0.145
0.178
0.219
0.269
0.327
0.389
0.456
0.545
0.651
0.789
hθi
35.0
35.0
34.9
35.0
34.9
34.8
34.5
34.4
34.8
34.8
34.5
30 < θ < 40
d2 σ/dpdΩ
867.45 ± 99.64 ±
710.58 ± 81.50 ±
669.40 ± 64.45 ±
752.88 ± 68.84 ±
612.90 ± 50.81 ±
483.18 ± 45.12 ±
330.93 ± 36.63 ±
232.57 ± 26.23 ±
190.27 ± 21.20 ±
114.58 ± 14.33 ±
42.13 ±
6.98 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.144
0.179
0.218
0.271
0.331
0.387
0.458
0.543
0.647
0.803
0.987
55.8
55.3
54.7
55.2
54.8
54.9
54.1
55.5
56.4
54.1
52.7
560.33
461.94
491.97
395.66
285.27
215.08
122.61
106.30
46.05
27.66
4.90
±
±
±
±
±
±
±
±
±
±
±
34.88
22.83
20.22
14.23
9.09
7.11
4.91
5.88
3.54
3.10
0.87
hpT i
0.149
0.178
0.219
0.262
0.326
0.383
0.449
0.538
0.661
0.789
1.067
hθi
80.8
81.6
81.8
81.7
81.5
80.2
81.2
81.2
82.4
81.1
82.7
75 < θ < 90
d2 σ/dpdΩ
399.37 ± 97.92 ±
299.72 ± 40.60 ±
272.83 ± 37.57 ±
234.77 ± 28.58 ±
163.02 ± 23.32 ±
108.30 ± 18.63 ±
60.32 ± 11.61 ±
38.06 ±
7.95 ±
19.42 ±
5.19 ±
4.66 ±
1.90 ±
1.45 ±
0.65 ±
101.54
15.29
15.33
14.59
8.89
6.25
3.68
3.08
2.12
0.71
0.34
hpT i
0.144
0.180
0.219
0.266
0.326
0.383
0.452
0.549
hθi
114.9
115.5
114.3
112.5
114.4
115.6
113.9
119.6
105 < θ < 125
d2 σ/dpdΩ
341.69 ± 42.54 ±
204.30 ± 25.70 ±
132.07 ± 20.85 ±
70.17 ± 12.86 ±
58.83 ± 11.54 ±
19.44 ±
6.48 ±
16.64 ±
5.04 ±
4.66 ±
2.33 ±
16.62
7.40
4.80
3.64
4.16
1.81
2.00
0.73
±
±
±
±
±
±
±
±
±
±
±
75.55
54.06
54.54
41.43
34.91
30.26
19.26
16.04
9.61
5.54
1.47
68.23
42.22
33.03
31.27
21.20
14.66
9.79
8.35
9.44
8.20
4.26
Table A.34: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
protons in π − + Ta → p + X interactions with −12.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.221
0.269
0.329
0.388
0.458
0.547
0.655
hθi
25.2
25.3
25.3
25.3
25.3
25.4
25.3
20 < θ < 30
d2 σ/dpdΩ
1322.62 ± 24.91
1162.60 ± 18.51
887.87 ± 16.65
703.76 ± 15.06
541.17 ± 11.67
355.62 ±
8.29
221.48 ±
6.01
pT
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.329
0.389
0.458
0.546
0.655
0.798
hθi
45.1
45.1
45.0
45.1
45.2
45.1
40 < θ < 50
d2 σ/dpdΩ
1280.68 ± 18.48
1052.41 ± 16.82
808.64 ± 13.40
532.68 ± 10.32
339.45 ±
7.76
164.66 ±
4.60
pT
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.546
0.655
0.797
1.035
hθi
67.5
67.4
67.1
66.8
60 < θ < 75
d2 σ/dpdΩ
604.94 ±
7.93
344.00 ±
5.88
157.69 ±
3.54
41.15 ±
1.36
pT
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.649
0.793
97.2
96.9
171.74
62.79
±
±
3.74
2.11
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
30 < θ < 40
d2 σ/dpdΩ
hpT i
hθi
0.271
0.329
0.389
0.458
0.546
0.656
0.796
34.9
35.1
35.1
35.1
35.3
35.3
35.2
hpT i
hθi
0.389
0.458
0.547
0.657
0.797
1.030
55.2
55.1
55.0
55.0
54.9
54.9
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
23.59
20.56
15.67
6.78
0.653
0.795
1.023
81.8
81.5
81.6
270.90
114.11
23.68
15.60
7.53
hpT i
0.458
0.543
0.649
0.789
hθi
113.8
113.1
113.1
112.9
71.69
56.76
44.96
36.34
33.21
22.98
17.33
45.00
30.90
28.64
30.67
24.71
17.27
57
1361.65
1180.65
921.18
700.83
472.36
297.71
150.10
±
±
±
±
±
±
±
19.82
17.94
16.53
12.89
9.63
7.22
4.15
±
±
±
±
±
±
±
60.37
44.98
36.47
32.92
26.46
21.85
14.11
±
±
±
±
±
±
39.41
25.25
25.16
24.41
17.24
7.30
±
±
±
19.58
11.70
4.17
±
±
±
±
19.52
15.93
9.82
4.96
50 < θ < 60
d2 σ/dpdΩ
1073.63
871.11
589.45
370.09
181.22
47.78
±
±
±
±
±
±
±
±
±
15.99
13.18
10.26
7.94
4.71
1.80
4.77
2.79
1.03
105 < θ < 125
d2 σ/dpdΩ
334.63 ±
5.49
169.19 ±
3.56
68.18 ±
2.32
22.08 ±
1.22
Table A.35: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π + ’s in π − + Ta → π + + X interactions with −12.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.116
0.145
0.180
0.219
0.269
0.329
0.388
0.457
0.548
0.655
hθi
24.9
24.9
25.0
25.0
24.9
24.7
24.9
24.9
24.7
24.8
20 < θ < 30
d2 σ/dpdΩ
589.66 ± 21.32 ±
668.62 ± 20.23 ±
734.34 ± 17.59 ±
769.94 ± 17.89 ±
713.32 ± 13.93 ±
612.34 ± 12.77 ±
471.71 ± 10.91 ±
366.60 ±
8.36 ±
217.29 ±
5.37 ±
139.23 ±
3.81 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.115
0.145
0.180
0.220
0.269
0.330
0.388
0.458
0.548
0.656
0.793
hθi
45.0
45.0
44.9
44.8
44.8
44.7
44.8
44.6
44.8
44.6
44.7
40 < θ < 50
d2 σ/dpdΩ
456.24 ± 19.78 ±
454.18 ± 16.07 ±
466.39 ± 13.73 ±
475.45 ± 13.94 ±
455.68 ± 11.26 ±
358.19 ±
9.97 ±
304.34 ±
9.10 ±
235.68 ±
6.86 ±
144.53 ±
4.62 ±
92.17 ±
3.31 ±
37.43 ±
1.51 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.145
0.180
0.220
0.269
0.328
0.388
0.458
0.546
0.656
0.793
1.040
hθi
67.4
66.9
67.4
67.1
66.8
66.6
66.7
66.6
66.6
66.1
66.0
60 < θ < 75
d2 σ/dpdΩ
333.75 ± 18.54 ±
317.21 ±
9.15 ±
292.90 ±
8.87 ±
260.93 ±
7.02 ±
211.44 ±
6.45 ±
150.67 ±
5.37 ±
109.23 ±
3.91 ±
78.75 ±
2.94 ±
43.16 ±
1.92 ±
13.97 ±
0.80 ±
3.62 ±
0.23 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.175
0.220
0.267
0.328
0.389
0.458
0.544
0.654
0.799
1.038
98.1
97.7
97.3
97.3
96.7
96.6
97.0
97.0
96.8
96.4
289.20
187.68
148.09
86.80
57.95
41.78
23.43
9.11
3.81
0.47
±
±
±
±
±
±
±
±
±
±
70.80
7.84
5.72
4.39
3.42
2.48
1.61
0.85
0.45
0.08
±
±
±
±
±
±
±
±
±
±
hpT i
0.116
0.145
0.180
0.220
0.269
0.329
0.389
0.458
0.548
0.656
0.795
hθi
34.9
34.8
34.8
34.8
34.9
34.8
34.7
34.8
34.8
34.8
34.6
30 < θ < 40
d2 σ/dpdΩ
556.76 ± 20.52 ±
560.39 ± 18.01 ±
595.83 ± 15.60 ±
571.35 ± 15.08 ±
567.07 ± 12.60 ±
512.39 ± 11.93 ±
397.34 ± 10.32 ±
289.05 ±
7.41 ±
193.21 ±
5.29 ±
107.44 ±
3.33 ±
53.45 ±
1.79 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.145
0.179
0.220
0.269
0.329
0.389
0.457
0.548
0.656
0.794
1.024
55.1
54.9
54.8
54.8
54.5
54.7
54.8
54.7
54.5
54.5
54.5
346.96
387.48
409.97
327.77
276.81
242.51
167.77
105.55
64.61
27.55
5.47
±
±
±
±
±
±
±
±
±
±
±
21.00
18.73
16.69
11.33
8.96
8.05
6.15
5.22
4.50
2.78
0.99
20.53
15.38
11.65
8.90
7.65
5.60
4.75
4.68
3.57
1.68
0.70
hpT i
0.150
0.176
0.220
0.268
0.329
0.389
0.456
0.546
0.650
0.793
1.030
hθi
80.6
81.6
81.9
81.7
81.9
81.9
81.6
82.0
81.5
81.4
80.1
75 < θ < 90
d2 σ/dpdΩ
317.10 ± 28.80 ±
336.48 ± 70.12 ±
244.48 ±
8.69 ±
186.74 ±
6.34 ±
132.03 ±
5.37 ±
86.00 ±
4.24 ±
66.55 ±
3.15 ±
40.30 ±
2.13 ±
22.49 ±
1.38 ±
8.18 ±
0.62 ±
1.44 ±
0.14 ±
138.19
20.40
10.43
9.12
7.06
4.45
3.87
3.00
2.26
1.15
0.32
14.25
8.54
7.57
5.24
3.52
3.31
2.46
1.29
0.72
0.14
hpT i
0.145
0.179
0.219
0.267
0.327
0.390
0.455
0.547
0.651
0.791
1.040
hθi
114.9
114.0
114.0
113.6
113.6
113.3
113.7
114.0
112.5
110.0
112.3
105 < θ < 125
d2 σ/dpdΩ
198.22 ±
7.90 ±
160.81 ±
5.68 ±
125.21 ±
5.24 ±
69.56 ±
3.18 ±
41.01 ±
2.43 ±
32.01 ±
2.13 ±
17.77 ±
1.34 ±
8.76 ±
0.80 ±
2.94 ±
0.42 ±
0.32 ±
0.09 ±
0.07 ±
0.02 ±
10.62
6.49
4.32
2.88
2.45
2.57
1.86
1.23
0.54
0.08
0.03
48.49
39.98
36.60
33.65
25.87
19.22
14.08
13.33
11.17
10.75
37.47
26.37
22.66
19.78
16.15
11.10
8.89
7.88
6.54
6.00
3.84
58
±
±
±
±
±
±
±
±
±
±
±
14.29
12.38
12.97
9.48
8.84
8.29
5.80
4.03
2.79
1.41
0.32
44.61
32.03
28.66
23.58
20.39
15.63
11.37
9.50
8.98
7.53
5.91
Table A.36: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π − ’s in π − + Ta → π − + X interactions with −12.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.115
0.145
0.180
0.220
0.269
0.329
0.389
0.458
0.546
0.654
hθi
24.9
24.8
24.8
24.8
24.8
24.8
24.9
24.7
24.8
24.7
20 < θ < 30
d2 σ/dpdΩ
817.83 ± 24.86 ±
853.86 ± 22.99 ±
967.40 ± 20.48 ±
977.94 ± 20.50 ±
869.74 ± 15.61 ±
724.21 ± 14.11 ±
594.19 ± 12.82 ±
457.87 ±
9.76 ±
292.27 ±
6.84 ±
171.81 ±
4.76 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.115
0.146
0.180
0.219
0.269
0.328
0.389
0.458
0.546
0.653
0.796
hθi
45.2
44.9
44.9
44.9
44.8
44.8
44.8
44.7
44.8
44.9
44.8
40 < θ < 50
d2 σ/dpdΩ
606.00 ± 21.74 ±
630.25 ± 19.50 ±
616.98 ± 16.14 ±
587.13 ± 15.82 ±
545.69 ± 12.48 ±
451.86 ± 11.45 ±
344.27 ±
9.71 ±
259.08 ±
7.37 ±
165.16 ±
5.17 ±
97.66 ±
3.57 ±
43.20 ±
1.89 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.145
0.179
0.219
0.269
0.329
0.389
0.458
0.545
0.653
0.791
1.038
hθi
67.1
67.3
67.4
67.0
67.0
66.8
67.0
66.8
67.1
66.7
66.2
60 < θ < 75
d2 σ/dpdΩ
453.47 ± 21.11 ±
416.18 ± 10.75 ±
380.65 ± 10.52 ±
316.87 ±
7.97 ±
241.12 ±
7.05 ±
191.93 ±
6.23 ±
128.61 ±
4.27 ±
90.06 ±
3.17 ±
44.70 ±
1.97 ±
18.67 ±
1.01 ±
3.25 ±
0.27 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.180
0.219
0.268
0.328
0.389
0.458
0.543
0.654
0.781
0.954
97.8
97.5
97.4
97.3
97.0
96.9
96.6
96.7
96.2
97.2
278.04
255.22
171.61
101.22
77.35
50.47
25.48
8.96
2.54
0.31
±
±
±
±
±
±
±
±
±
±
10.35
9.52
6.30
4.74
4.02
2.80
1.68
0.88
0.37
0.08
±
±
±
±
±
±
±
±
±
±
61.65
50.13
47.75
41.24
29.54
20.68
17.40
16.79
14.83
12.28
46.49
37.60
30.50
24.92
18.94
14.35
10.37
9.69
8.62
7.17
4.52
26.70
19.13
14.73
11.67
9.69
8.00
5.79
5.61
3.83
2.24
0.61
14.09
14.13
9.79
6.02
5.19
4.45
2.93
1.38
0.53
0.10
59
hpT i
0.115
0.146
0.180
0.220
0.270
0.329
0.389
0.457
0.547
0.656
0.798
hθi
35.0
34.9
34.8
34.8
34.8
34.8
34.8
34.7
34.7
34.7
34.7
30 < θ < 40
d2 σ/dpdΩ
698.97 ± 22.54 ±
725.61 ± 21.08 ±
769.59 ± 18.13 ±
759.47 ± 17.87 ±
712.17 ± 14.19 ±
567.23 ± 12.66 ±
482.53 ± 11.61 ±
345.69 ±
8.38 ±
208.85 ±
5.81 ±
130.46 ±
4.10 ±
65.40 ±
2.34 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.144
0.179
0.220
0.268
0.329
0.388
0.458
0.544
0.655
0.795
1.023
55.1
55.0
55.0
54.8
54.8
54.8
54.6
54.9
54.7
54.4
55.0
601.44
508.48
463.08
422.32
345.47
269.79
192.85
131.73
72.78
30.90
6.32
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
0.180
0.219
0.268
0.329
0.388
0.458
0.545
0.649
0.787
1.010
81.7
81.9
81.9
81.6
82.1
81.7
81.8
81.5
81.6
80.7
342.63
279.62
235.60
168.11
111.38
79.57
50.34
24.09
7.98
1.64
hpT i
0.144
0.179
0.218
0.267
0.330
0.387
0.456
0.544
0.646
0.790
hθi
114.5
113.6
113.8
113.8
113.6
113.0
112.8
113.0
112.2
112.5
±
±
±
±
±
±
±
±
±
±
±
52.29
42.98
37.77
31.29
24.10
16.52
13.99
12.22
10.25
9.01
6.42
±
±
±
±
±
±
±
±
±
±
±
36.89
24.95
18.82
14.84
10.89
9.05
7.60
7.18
5.52
3.32
1.10
±
±
±
±
±
±
±
±
±
±
18.30
13.05
11.97
10.19
5.80
4.83
4.05
2.61
1.19
0.37
105 < θ < 125
d2 σ/dpdΩ
268.93 ±
9.51 ±
212.93 ±
6.80 ±
138.27 ±
5.61 ±
78.68 ±
3.46 ±
48.66 ±
2.68 ±
37.83 ±
2.34 ±
19.20 ±
1.39 ±
8.16 ±
0.81 ±
2.94 ±
0.42 ±
0.56 ±
0.14 ±
16.04
7.71
5.07
3.80
3.29
3.44
2.28
1.27
0.60
0.15
±
±
±
±
±
±
±
±
±
±
19.29
14.54
13.87
11.01
9.99
8.83
6.34
4.69
3.10
1.60
0.45
11.34
9.58
7.24
6.22
4.83
3.46
2.42
1.48
0.65
0.19
Table A.37: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
protons in p + Ta → p + X interactions with +15.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.220
0.268
0.328
0.388
0.455
0.545
0.651
hθi
25.2
25.2
25.2
25.1
25.3
25.3
25.4
20 < θ < 30
d2 σ/dpdΩ
1644.71 ± 50.11 ±
1534.96 ± 38.08 ±
1292.93 ± 36.35 ±
1033.10 ± 32.85 ±
753.22 ± 24.78 ±
524.34 ± 18.35 ±
381.21 ± 14.37 ±
pT
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.329
0.389
0.458
0.546
0.655
0.800
1.044
hθi
45.0
44.9
45.0
45.0
45.1
44.9
45.0
40 < θ < 50
d2 σ/dpdΩ
1671.83 ± 37.63 ±
1401.04 ± 35.17 ±
1114.11 ± 28.28 ±
788.32 ± 22.45 ±
532.32 ± 17.54 ±
277.64 ± 10.70 ±
80.93 ±
4.17 ±
pT
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.545
0.655
0.797
1.033
hθi
67.5
67.1
67.0
66.5
60 < θ < 75
d2 σ/dpdΩ
793.04 ± 16.34 ±
470.67 ± 12.51 ±
213.74 ±
7.46 ±
57.06 ±
2.89 ±
pT
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.650
0.791
97.1
97.1
227.68
72.97
±
±
7.85
4.14
±
±
30 < θ < 40
d2 σ/dpdΩ
hpT i
hθi
0.270
0.328
0.388
0.456
0.543
0.651
0.793
34.9
35.1
35.2
35.2
35.1
35.1
35.0
hpT i
hθi
0.389
0.458
0.546
0.654
0.800
1.037
55.1
55.2
54.9
54.9
54.9
54.9
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
46.50
47.37
35.23
15.61
0.651
0.791
1.023
81.6
81.7
81.6
371.28
142.81
27.82
38.80
16.39
hpT i
0.458
0.541
0.651
0.788
hθi
113.7
112.9
112.5
112.6
158.22
126.93
91.71
62.73
43.20
33.25
30.17
74.07
45.24
36.18
43.96
43.79
35.82
16.76
60
±
±
±
±
±
±
±
130.89
95.89
62.87
46.33
39.71
38.31
31.04
±
±
±
±
±
±
48.59
35.49
42.12
44.52
36.20
15.88
±
±
±
49.58
27.63
8.65
105 < θ < 125
d2 σ/dpdΩ
449.36 ± 12.24 ±
213.36 ±
7.34 ±
78.07 ±
4.50 ±
18.03 ±
1.99 ±
43.63
37.33
21.48
7.54
1756.13
1635.18
1313.09
1038.17
721.33
472.54
261.44
±
±
±
±
±
±
±
41.18
38.71
35.73
28.46
21.81
16.38
9.94
50 < θ < 60
d2 σ/dpdΩ
1408.12
1153.27
800.01
513.97
278.42
75.86
±
±
±
±
±
±
±
±
±
33.38
27.34
21.45
16.73
10.58
4.02
10.07
5.68
2.08
Table A.38: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π + ’s in p + Ta → π + + X interactions with +15.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.116
0.145
0.180
0.219
0.268
0.327
0.388
0.455
0.545
0.652
hθi
25.0
24.9
24.9
24.8
24.9
24.8
24.6
24.8
24.8
24.8
20 < θ < 30
d2 σ/dpdΩ
717.50 ± 44.18 ±
816.60 ± 41.95 ±
936.93 ± 37.56 ±
941.65 ± 36.89 ±
848.94 ± 28.09 ±
761.21 ± 26.45 ±
584.61 ± 22.86 ±
460.98 ± 17.33 ±
300.98 ± 12.18 ±
209.96 ±
8.86 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.116
0.145
0.179
0.219
0.269
0.330
0.391
0.458
0.549
0.652
0.793
hθi
45.0
45.4
44.9
44.7
44.8
44.8
44.6
44.8
44.7
44.6
44.9
40 < θ < 50
d2 σ/dpdΩ
608.74 ± 39.50 ±
656.32 ± 35.94 ±
616.45 ± 29.17 ±
524.63 ± 26.95 ±
535.14 ± 22.59 ±
416.66 ± 20.05 ±
369.11 ± 18.67 ±
270.79 ± 13.82 ±
174.02 ±
9.71 ±
106.58 ±
6.50 ±
46.29 ±
3.20 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.146
0.180
0.220
0.268
0.329
0.391
0.458
0.544
0.654
0.794
1.031
hθi
66.9
67.4
67.1
66.9
66.9
67.2
66.7
66.7
66.6
66.3
66.5
60 < θ < 75
d2 σ/dpdΩ
417.53 ± 25.78 ±
393.46 ± 18.81 ±
374.62 ± 18.34 ±
333.70 ± 14.74 ±
237.38 ± 12.66 ±
184.23 ± 11.05 ±
138.57 ±
8.21 ±
84.04 ±
5.54 ±
39.36 ±
3.38 ±
18.05 ±
1.68 ±
3.74 ±
0.45 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.180
0.218
0.268
0.328
0.390
0.455
0.547
0.655
0.780
1.010
97.9
97.1
97.2
97.1
97.3
96.4
96.3
96.0
96.5
94.6
294.95
241.02
170.73
107.20
76.59
40.97
21.68
12.76
2.60
0.38
±
±
±
±
±
±
±
±
±
±
19.68
15.69
11.09
8.90
7.40
4.49
2.87
1.90
0.61
0.13
±
±
±
±
±
±
±
±
±
±
84.40
76.44
75.02
62.71
42.52
26.93
17.74
19.34
21.33
23.57
66.90
59.59
47.06
32.82
25.26
14.26
11.38
12.19
12.84
12.06
7.95
39.09
29.18
21.24
14.02
9.25
8.34
9.57
8.91
6.12
4.05
1.32
19.65
9.92
8.38
7.90
7.87
5.82
4.31
3.45
0.96
0.21
61
hpT i
0.116
0.145
0.180
0.220
0.268
0.329
0.387
0.456
0.543
0.651
0.791
hθi
34.8
35.0
34.7
34.9
34.8
34.8
34.7
34.8
34.9
34.7
34.7
30 < θ < 40
d2 σ/dpdΩ
611.54 ± 38.50 ±
645.26 ± 35.30 ±
726.47 ± 32.23 ±
736.98 ± 32.28 ±
665.63 ± 25.42 ±
558.14 ± 22.88 ±
447.73 ± 20.29 ±
319.99 ± 14.54 ±
215.14 ± 10.43 ±
127.39 ±
6.82 ±
73.64 ±
3.83 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.146
0.180
0.220
0.268
0.328
0.390
0.455
0.548
0.656
0.805
1.015
55.1
54.6
54.7
54.8
54.8
55.0
54.8
54.6
54.8
54.3
54.2
517.86
494.57
506.67
394.18
336.76
260.79
208.76
121.94
74.20
29.98
8.14
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
0.181
0.218
0.267
0.327
0.390
0.458
0.541
0.654
0.794
1.004
81.6
82.3
81.9
81.4
81.0
81.8
82.0
81.6
81.8
81.3
360.84
285.28
235.53
177.00
104.29
84.85
42.15
23.56
7.97
1.08
hpT i
0.145
0.178
0.217
0.266
0.328
0.386
0.458
0.546
0.656
0.763
hθi
114.8
114.3
113.8
113.5
114.9
113.5
112.7
112.5
112.5
111.7
±
±
±
±
±
±
±
±
±
±
±
66.86
58.27
55.72
46.59
32.42
18.65
13.21
13.49
15.14
14.09
12.60
±
±
±
±
±
±
±
±
±
±
±
46.62
36.20
29.75
16.75
11.00
8.94
11.00
10.20
9.31
5.56
2.42
±
±
±
±
±
±
±
±
±
±
27.67
14.30
10.57
10.18
7.43
8.04
5.75
4.52
2.15
0.45
105 < θ < 125
d2 σ/dpdΩ
247.29 ± 16.45 ±
189.57 ± 11.03 ±
137.04 ±
9.85 ±
91.40 ±
6.78 ±
45.03 ±
4.67 ±
27.92 ±
3.66 ±
18.78 ±
2.53 ±
6.10 ±
1.24 ±
2.06 ±
0.62 ±
0.56 ±
0.26 ±
15.32
8.64
5.13
5.67
4.65
4.10
3.74
1.63
0.73
0.27
±
±
±
±
±
±
±
±
±
±
32.31
25.48
26.75
19.24
18.07
15.67
12.21
8.16
5.64
2.59
0.81
21.27
17.02
12.86
11.48
8.68
6.56
3.91
2.63
1.12
0.24
Table A.39: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π − ’s in p + Ta → π − + X interactions with +15.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.116
0.145
0.180
0.220
0.270
0.330
0.390
0.460
0.549
0.661
hθi
24.8
24.8
25.0
24.8
24.8
25.0
25.0
25.0
24.9
24.8
20 < θ < 30
d2 σ/dpdΩ
878.26 ± 47.60 ±
864.06 ± 42.25 ±
991.65 ± 37.69 ±
954.45 ± 36.22 ±
803.73 ± 27.14 ±
668.50 ± 24.48 ±
561.48 ± 22.50 ±
361.84 ± 15.63 ±
216.86 ± 10.62 ±
150.46 ±
8.15 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.115
0.146
0.180
0.220
0.269
0.330
0.389
0.457
0.543
0.651
0.802
hθi
45.3
45.0
44.9
44.9
44.9
44.6
45.1
45.0
45.0
45.2
44.8
40 < θ < 50
d2 σ/dpdΩ
664.75 ± 40.33 ±
693.22 ± 36.58 ±
644.62 ± 29.65 ±
572.06 ± 27.97 ±
552.21 ± 22.77 ±
397.43 ± 19.15 ±
351.54 ± 17.92 ±
245.79 ± 12.90 ±
163.69 ±
9.34 ±
83.60 ±
5.97 ±
35.08 ±
3.00 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.146
0.179
0.220
0.268
0.329
0.390
0.456
0.544
0.655
0.790
1.015
hθi
67.5
66.9
66.8
66.5
66.6
66.3
66.4
67.0
66.7
66.2
67.1
60 < θ < 75
d2 σ/dpdΩ
554.18 ± 30.49 ±
422.56 ± 19.84 ±
386.36 ± 18.74 ±
342.18 ± 14.75 ±
247.03 ± 12.74 ±
182.82 ± 10.89 ±
142.50 ±
8.20 ±
80.78 ±
5.32 ±
46.56 ±
3.73 ±
18.34 ±
1.78 ±
3.00 ±
0.44 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.181
0.218
0.268
0.329
0.387
0.462
0.551
0.651
0.800
1.015
97.8
97.3
96.9
97.0
97.2
96.1
96.5
96.5
98.3
95.4
347.76
215.86
172.70
105.57
65.23
50.85
25.37
15.04
1.66
0.37
±
±
±
±
±
±
±
±
±
±
23.08
15.11
11.32
8.71
6.63
4.96
3.06
2.13
0.49
0.14
±
±
±
±
±
±
±
±
±
±
104.73
82.61
78.18
59.47
35.58
19.24
18.18
19.59
19.32
20.20
76.41
66.13
50.80
35.71
24.43
11.57
11.83
13.76
14.99
11.50
7.09
48.78
28.71
19.67
12.77
9.14
9.22
10.71
9.20
7.59
4.25
1.08
35.06
9.06
9.53
8.26
7.28
8.02
5.58
4.47
0.67
0.22
62
hpT i
0.116
0.145
0.180
0.220
0.270
0.330
0.390
0.461
0.547
0.658
0.794
hθi
34.9
34.8
34.8
34.8
34.8
34.8
34.9
34.6
35.1
35.0
34.7
30 < θ < 40
d2 σ/dpdΩ
739.55 ± 43.13 ±
736.66 ± 37.49 ±
839.75 ± 34.00 ±
835.56 ± 33.97 ±
701.99 ± 25.37 ±
539.50 ± 22.08 ±
474.45 ± 21.14 ±
303.64 ± 14.16 ±
205.97 ± 10.48 ±
94.01 ±
5.96 ±
54.57 ±
3.76 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.144
0.179
0.218
0.269
0.329
0.387
0.458
0.543
0.653
0.792
1.033
55.0
54.9
54.7
54.7
54.9
54.7
54.8
54.7
54.4
55.2
54.2
510.27
537.37
533.24
410.05
373.33
275.33
206.50
114.18
68.48
19.82
4.79
±
±
±
±
±
±
±
±
±
±
±
47.58
40.48
31.36
17.09
11.12
10.56
12.52
11.01
9.75
4.13
1.56
hpT i
0.150
0.181
0.219
0.268
0.327
0.388
0.458
0.546
0.655
0.785
1.015
hθi
81.0
81.9
81.4
81.5
81.5
81.7
82.0
81.6
81.6
81.0
82.5
75 < θ < 90
d2 σ/dpdΩ
260.01 ± 30.36 ±
433.37 ± 25.05 ±
298.72 ± 17.72 ±
227.20 ± 12.91 ±
171.48 ± 11.36 ±
119.67 ±
9.16 ±
74.35 ±
5.98 ±
43.16 ±
4.01 ±
21.75 ±
2.43 ±
6.04 ±
1.06 ±
1.27 ±
0.27 ±
43.86
39.42
15.26
11.60
11.02
9.12
7.75
6.48
4.54
1.74
0.56
hpT i
0.145
0.177
0.218
0.269
0.330
0.391
0.458
0.547
0.635
0.791
hθi
114.2
113.7
113.6
113.4
114.4
113.6
113.3
111.4
111.5
109.5
105 < θ < 125
d2 σ/dpdΩ
340.65 ± 20.51 ±
195.83 ± 11.75 ±
150.69 ± 10.63 ±
96.21 ±
6.94 ±
46.93 ±
4.71 ±
42.27 ±
4.44 ±
18.43 ±
2.49 ±
10.41 ±
1.59 ±
3.20 ±
0.80 ±
0.53 ±
0.22 ±
19.53
7.20
6.54
7.33
5.72
7.22
4.19
3.15
1.26
0.28
±
±
±
±
±
±
±
±
±
±
±
31.49
26.98
27.26
19.60
18.68
16.11
11.87
7.61
5.49
2.22
0.70
85.86
69.49
65.94
52.25
31.13
15.70
15.51
15.59
17.50
12.36
10.39
Table A.40: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
protons in π + + Ta → p + X interactions with +15.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
20 < θ < 30
d2 σ/dpdΩ
279.11 ± 120.03 ±
237.06 ± 103.12 ±
pT
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.548
0.659
hθi
24.7
25.3
pT
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
hθi
0.655
0.787
1.049
44.4
46.7
44.9
582.79
202.67
43.95
pT
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.541
0.652
0.805
1.050
hθi
68.9
66.9
68.1
67.0
60 < θ < 75
d2 σ/dpdΩ
786.30 ± 150.76
512.07 ± 118.94
170.37 ±
60.48
33.56 ±
20.04
pT
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.680
0.797
95.2
100.1
19.63
20.14
40 < θ < 50
d2 σ/dpdΩ
151.46
29.29
±
±
±
±
±
167.53
84.28
28.50
59.76
23.78
±
±
±
±
±
±
±
±
±
51.30
26.85
9.20
50.55
53.39
28.30
9.21
26.02
6.59
63
hpT i
0.542
0.644
0.814
hθi
35.6
36.1
35.5
30 < θ < 40
d2 σ/dpdΩ
300.76 ± 129.84 ±
283.76 ± 113.99 ±
142.40 ±
67.63 ±
19.00
24.59
17.34
hpT i
0.552
0.661
0.802
1.071
hθi
54.8
55.9
55.6
55.1
50 < θ < 60
d2 σ/dpdΩ
725.51 ± 187.61
287.15 ± 114.41
235.15 ±
90.13
102.54 ±
43.12
±
±
±
±
43.81
26.31
31.35
21.70
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
0.650
0.813
81.6
82.2
242.50
164.51
±
±
32.93
32.03
hpT i
0.459
0.538
0.633
hθi
114.8
112.2
113.0
105 < θ < 125
d2 σ/dpdΩ
359.78 ±
94.60 ±
184.82 ±
63.72 ±
30.26 ±
25.47 ±
35.50
32.54
8.33
±
±
75.57
55.70
Table A.41: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π + ’s in π + + Ta → π + + X interactions with +15.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.13–0.16
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.147
hθi
26.1
20 < θ < 30
d2 σ/dpdΩ
121.37 ±
98.97 ±
0.455
0.543
0.659
26.0
23.6
25.9
508.10
328.17
248.26
pT
0.16–0.20
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
hθi
0.266
0.338
0.405
0.465
0.531
0.665
0.811
44.4
42.6
41.8
43.8
44.9
47.7
41.3
349.86
296.69
292.88
213.96
184.18
44.86
61.88
hpT i
0.142
0.232
0.263
0.337
0.392
0.446
0.645
0.749
hθi
67.7
67.0
67.7
65.1
66.3
65.0
65.0
62.9
60 < θ < 75
d2 σ/dpdΩ
250.70 ± 175.85
356.07 ± 162.16
445.97 ± 158.07
315.26 ± 133.50
461.70 ± 158.46
227.02 ±
96.47
99.75 ±
49.92
17.93 ±
15.00
hθi
90 < θ < 105
d2 σ/dpdΩ
pT
0.13–0.16
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.60–0.72
0.72–0.90
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
hpT i
±
±
±
171.53
119.61
95.03
±
±
±
156.25
154.21
148.67
113.30
87.90
38.62
35.11
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
hθi
0.374
0.461
0.563
0.649
0.760
34.6
35.2
33.7
33.3
36.4
394.59
380.28
119.43
138.23
51.75
±
±
±
±
±
16.13
19.43
9.13
15.89
9.02
hpT i
0.162
0.273
0.338
hθi
54.6
55.8
55.6
50 < θ < 60
d2 σ/dpdΩ
253.32 ± 180.92 ±
318.28 ± 165.34 ±
412.27 ± 170.33 ±
19.77
15.97
16.98
0.441
0.524
0.650
0.810
1.193
54.2
54.1
53.1
54.4
56.0
324.54
129.66
56.92
0.39
1.87
hpT i
hθi
0.333
86.0
0.793
82.0
11.95
25.76
25.11
28.81
40 < θ < 50
d2 σ/dpdΩ
±
±
±
±
±
±
±
30 < θ < 40
d2 σ/dpdΩ
hpT i
18.92
12.73
12.15
11.41
14.65
5.27
10.86
24.23
22.39
22.05
14.01
23.40
16.64
15.78
4.07
0.225
0.271
0.319
0.407
97.8
96.0
100.5
100.0
250.71
182.10
79.56
106.43
±
±
±
±
147.41
105.78
63.66
68.49
±
±
±
±
13.55
9.89
5.88
11.01
0.549
94.9
3.27
±
2.82
±
0.65
64
±
±
±
±
±
±
±
±
±
±
171.51
144.80
72.93
62.99
31.65
137.53
78.36
43.29
0.33
1.20
±
±
±
±
±
19.37
11.49
7.36
0.07
0.56
75 < θ < 90
d2 σ/dpdΩ
180.68
±
106.37
±
10.64
0.07
±
0.05
±
0.02
105 < θ < 125
d2 σ/dpdΩ
443.33 ± 196.41 ±
67.58 ±
58.70 ±
29.59
3.26
hpT i
0.148
0.183
hθi
117.0
117.0
0.263
115.4
78.97
±
57.19
±
5.18
0.390
0.481
120.3
112.0
104.97
51.75
±
±
63.90
38.79
±
±
15.49
10.29
Table A.42: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π − ’s in π + + Ta → π − + X interactions with +15.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
hpT i
0.395
0.460
0.552
0.636
hθi
24.8
24.9
23.6
20.0
20 < θ < 30
d2 σ/dpdΩ
516.82 ± 196.69
528.31 ± 176.11
375.65 ± 125.43
62.71 ±
44.34
pT
0.13–0.16
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
hpT i
hθi
40 < θ < 50
d2 σ/dpdΩ
0.459
0.537
0.653
46.1
43.4
43.2
176.35
171.83
174.32
pT
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
hpT i
0.279
0.329
0.396
0.442
0.525
0.683
hθi
69.5
66.2
68.2
69.5
69.6
70.0
60 < θ < 75
d2 σ/dpdΩ
222.48 ± 111.37
168.00 ±
97.00
163.70 ±
94.51
120.31 ±
69.46
147.72 ±
66.07
102.08 ±
51.04
hθi
90 < θ < 105
d2 σ/dpdΩ
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.36–0.42
0.42–0.50
hpT i
0.226
0.261
0.392
98.4
101.4
97.6
289.90
187.72
266.09
±
±
±
±
±
±
101.25
85.93
77.96
165.72
108.41
119.53
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
22.08
32.22
35.13
8.61
11.08
16.54
24.62
10.24
7.43
9.13
9.58
17.32
16.93
16.82
11.50
30.09
65
hpT i
0.381
0.456
0.543
0.647
hθi
36.4
34.6
34.4
33.6
30 < θ < 40
d2 σ/dpdΩ
463.13 ± 191.55
280.79 ± 125.58
353.42 ± 124.96
92.32 ±
53.30
±
±
±
±
19.64
16.49
31.77
12.51
hpT i
0.140
0.272
0.325
0.396
hθi
52.7
55.1
55.5
50.7
50 < θ < 60
d2 σ/dpdΩ
231.93 ± 191.92
414.63 ± 185.44
431.55 ± 179.39
149.85 ± 105.97
±
±
±
±
22.47
20.44
17.12
6.97
0.536
54.4
214.46
±
21.61
hpT i
0.262
0.327
0.380
0.444
hθi
80.9
82.3
81.4
78.3
75 < θ < 90
d2 σ/dpdΩ
585.44 ± 195.23
128.34 ±
90.75
116.79 ±
82.58
79.30 ±
56.08
±
±
±
±
36.99
8.70
9.17
8.48
0.674
77.9
±
9.40
105 < θ < 125
d2 σ/dpdΩ
183.48 ± 129.78 ±
279.25 ± 125.98 ±
129.83 ±
91.82 ±
11.57
12.31
6.31
hpT i
0.154
0.182
0.221
hθi
112.0
116.6
108.6
0.449
115.0
44.62
56.05
±
±
±
95.91
31.55
39.63
±
12.74
Table A.43: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
protons in π − + Ta → p + X interactions with −15.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.221
0.269
0.329
0.389
0.458
0.547
0.656
hθi
25.1
25.3
25.3
25.3
25.3
25.2
25.3
20 < θ < 30
d2 σ/dpdΩ
1389.55 ± 35.87
1153.71 ± 25.70
912.12 ± 23.40
746.36 ± 21.49
514.11 ± 15.57
366.37 ± 12.13
231.70 ±
8.63
pT
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.332
0.392
0.462
0.553
0.664
0.809
1.054
hθi
45.0
45.1
45.1
45.0
45.1
45.0
44.9
40 < θ < 50
d2 σ/dpdΩ
1261.62 ± 25.18
1053.14 ± 23.52
810.67 ± 18.42
555.46 ± 14.52
355.65 ± 11.00
189.79 ±
6.92
55.21 ±
2.63
pT
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.545
0.654
0.799
1.032
hθi
67.4
67.4
66.7
66.5
60 < θ < 75
d2 σ/dpdΩ
580.44 ± 10.66
352.36 ±
8.27
162.75 ±
4.97
45.40 ±
2.02
pT
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.651
0.791
97.0
96.6
167.66
52.15
±
±
5.16
2.72
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
30 < θ < 40
d2 σ/dpdΩ
hpT i
hθi
0.271
0.329
0.389
0.459
0.547
0.656
0.796
34.8
35.1
35.1
35.0
35.1
35.2
35.2
hpT i
hθi
0.391
0.462
0.553
0.664
0.810
1.052
55.0
54.9
55.0
55.1
54.9
55.1
hpT i
hθi
75 < θ < 90
d2 σ/dpdΩ
28.70
23.21
16.78
7.68
0.651
0.794
1.021
81.8
81.7
81.8
281.99
106.65
21.32
15.88
6.66
hpT i
0.458
0.542
0.649
0.787
hθi
113.4
112.8
113.0
111.7
85.80
65.04
52.24
42.77
33.57
28.37
20.90
54.43
42.52
36.31
32.76
27.67
20.35
8.33
66
1242.08
1135.47
950.02
699.89
501.75
333.00
168.77
±
±
±
±
±
±
±
26.16
24.63
23.24
17.95
13.74
10.27
6.19
±
±
±
±
±
±
±
64.82
53.75
44.48
37.57
28.92
23.59
17.27
±
±
±
±
±
±
47.33
34.69
30.33
27.01
17.90
7.82
±
±
±
21.91
11.42
3.87
±
±
±
±
23.31
16.42
8.77
3.29
50 < θ < 60
d2 σ/dpdΩ
1076.12
864.18
609.01
380.05
178.37
50.78
±
±
±
±
±
±
±
±
±
22.49
18.31
14.46
11.18
6.52
2.56
6.70
3.75
1.38
105 < θ < 125
d2 σ/dpdΩ
351.02 ±
7.78
166.40 ±
4.94
58.85 ±
3.01
14.19 ±
1.37
Table A.44: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π + ’s in π − + Ta → π + + X interactions with −15.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.116
0.145
0.180
0.220
0.269
0.329
0.390
0.458
0.546
0.656
hθi
25.1
24.8
24.8
25.0
25.0
24.8
24.9
24.8
24.7
24.7
20 < θ < 30
d2 σ/dpdΩ
624.95 ± 30.00 ±
675.07 ± 27.86 ±
801.76 ± 25.45 ±
850.85 ± 26.11 ±
778.47 ± 20.43 ±
631.56 ± 17.80 ±
550.43 ± 16.83 ±
395.09 ± 11.81 ±
268.88 ±
8.61 ±
152.16 ±
5.63 ±
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.117
0.146
0.181
0.221
0.270
0.331
0.392
0.461
0.552
0.659
0.808
hθi
45.1
45.0
44.8
44.8
44.8
44.7
44.8
44.7
44.8
44.7
44.6
40 < θ < 50
d2 σ/dpdΩ
380.38 ± 23.28 ±
421.58 ± 21.23 ±
456.89 ± 18.78 ±
465.12 ± 19.08 ±
441.96 ± 15.30 ±
390.23 ± 14.50 ±
304.53 ± 12.69 ±
244.08 ±
9.94 ±
153.50 ±
6.57 ±
96.81 ±
4.64 ±
41.01 ±
2.26 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.145
0.180
0.220
0.269
0.329
0.390
0.459
0.546
0.655
0.796
1.036
hθi
67.3
67.1
67.2
67.2
66.8
66.8
67.0
67.0
66.4
66.1
65.5
60 < θ < 75
d2 σ/dpdΩ
410.61 ± 20.72 ±
326.99 ± 13.13 ±
316.07 ± 12.88 ±
277.42 ± 10.17 ±
188.39 ±
8.37 ±
171.30 ±
8.02 ±
110.98 ±
5.59 ±
68.68 ±
3.79 ±
43.67 ±
2.69 ±
20.82 ±
1.39 ±
3.61 ±
0.31 ±
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.148
0.181
0.220
0.266
0.326
0.387
0.454
0.539
0.646
0.788
1.023
hθi
97.2
97.5
97.1
97.6
97.3
97.4
96.8
97.1
97.1
96.1
96.4
90 < θ < 105
d2 σ/dpdΩ
171.38 ± 20.98 ±
269.71 ± 17.54 ±
196.84 ± 10.90 ±
126.58 ±
7.32 ±
72.29 ±
5.44 ±
67.99 ±
5.10 ±
38.38 ±
3.26 ±
24.50 ±
2.32 ±
11.63 ±
1.33 ±
3.55 ±
0.56 ±
0.83 ±
0.15 ±
52.17
43.66
45.35
43.55
36.04
26.03
23.15
17.97
15.78
12.55
30.93
27.64
25.83
23.43
19.79
16.46
12.58
11.10
8.28
6.94
4.31
30.08
18.49
15.53
12.47
8.40
8.45
6.22
4.58
3.88
2.57
0.75
33.68
26.48
9.71
7.30
4.50
4.61
3.24
2.72
1.72
0.70
0.26
67
hpT i
0.116
0.146
0.181
0.220
0.269
0.329
0.388
0.458
0.546
0.654
0.796
hθi
34.8
34.7
34.7
34.7
34.8
34.7
34.7
34.9
34.9
34.9
34.7
30 < θ < 40
d2 σ/dpdΩ
497.40 ± 25.94 ±
612.98 ± 26.38 ±
684.16 ± 23.36 ±
641.97 ± 22.26 ±
582.64 ± 17.60 ±
487.17 ± 16.06 ±
420.82 ± 14.82 ±
312.09 ± 10.76 ±
198.43 ±
7.32 ±
121.63 ±
5.08 ±
62.15 ±
2.66 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.146
0.180
0.221
0.269
0.330
0.393
0.460
0.554
0.665
0.815
1.059
54.6
54.9
54.7
54.7
54.7
54.7
54.8
54.5
54.5
54.5
54.5
432.39
403.87
376.94
361.62
290.50
243.05
172.41
111.74
67.81
26.81
7.31
±
±
±
±
±
±
±
±
±
±
±
29.62
22.81
18.88
16.02
12.80
10.60
8.46
6.47
5.17
2.93
1.32
hpT i
0.150
0.181
0.220
0.268
0.327
0.389
0.458
0.543
0.648
0.795
1.045
hθi
81.5
81.9
81.8
81.5
82.0
81.6
81.3
81.9
80.7
81.3
81.3
75 < θ < 90
d2 σ/dpdΩ
142.73 ± 16.03 ±
257.35 ± 13.48 ±
244.17 ± 11.96 ±
200.08 ±
9.22 ±
142.77 ±
7.92 ±
101.18 ±
6.49 ±
65.41 ±
4.35 ±
42.54 ±
2.98 ±
19.83 ±
1.78 ±
7.36 ±
0.80 ±
1.15 ±
0.17 ±
23.01
16.66
12.34
12.12
9.73
6.43
4.35
3.44
2.13
1.10
0.27
hpT i
0.144
0.180
0.219
0.265
0.329
0.385
0.458
0.540
0.654
0.803
hθi
114.5
113.8
114.1
114.1
114.5
113.9
112.0
111.9
112.4
110.6
105 < θ < 125
d2 σ/dpdΩ
269.55 ± 15.13 ±
154.41 ±
7.83 ±
116.70 ±
6.95 ±
81.18 ±
4.88 ±
43.79 ±
3.44 ±
25.26 ±
2.59 ±
16.88 ±
1.84 ±
8.16 ±
1.08 ±
1.82 ±
0.45 ±
0.93 ±
0.25 ±
19.39
7.63
5.54
4.47
3.03
2.27
1.92
1.22
0.36
0.25
±
±
±
±
±
±
±
±
±
±
±
23.04
17.56
16.83
13.88
12.57
11.46
8.42
5.87
4.07
1.81
0.55
40.12
39.80
38.21
32.11
26.17
19.96
16.96
13.57
10.86
9.21
7.16
Table A.45: Double-differential inclusive cross-section d2 σ/dpdΩ [mb/(GeV/c sr)] of the production of
π − ’s in π − + Ta → π − + X interactions with −15.0 GeV/c beam momentum; the first error is statistical,
the second systematic; pT in GeV/c, polar angle θ in degrees.
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
hpT i
0.116
0.146
0.180
0.220
0.269
0.329
0.390
0.457
0.545
0.655
hθi
25.0
24.7
24.8
24.9
24.8
24.8
24.8
24.6
25.0
24.9
20 < θ < 30
d2 σ/dpdΩ
910.81 ±
37.32
929.24 ±
32.94
1064.19 ±
29.98
1080.30 ±
29.54
946.23 ±
22.51
801.09 ±
20.81
621.16 ±
17.87
494.92 ±
14.18
311.24 ±
9.80
187.37 ±
7.17
pT
0.10–0.13
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.115
0.145
0.179
0.219
0.268
0.327
0.385
0.453
0.540
0.646
0.784
hθi
45.2
45.0
44.9
44.9
44.9
44.5
44.9
44.7
44.8
44.9
44.6
40 < θ < 50
d2 σ/dpdΩ
716.71 ±
34.02
625.49 ±
26.84
655.91 ±
23.02
617.77 ±
22.34
562.97 ±
17.81
450.41 ±
15.59
366.46 ±
13.94
290.15 ±
10.72
186.84 ±
7.58
93.03 ±
4.83
45.26 ±
2.66
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
0.145
0.179
0.219
0.268
0.328
0.388
0.457
0.545
0.652
0.793
1.013
hθi
67.1
67.3
67.3
67.0
66.9
66.9
67.0
67.2
66.4
67.0
67.4
60 < θ < 75
d2 σ/dpdΩ
524.08 ±
23.17
428.75 ±
15.34
412.05 ±
15.17
315.56 ±
11.08
252.93 ±
9.99
198.38 ±
8.69
136.53 ±
6.10
89.18 ±
4.37
43.32 ±
2.63
20.74 ±
1.50
3.71 ±
0.40
pT
0.13–0.16
0.16–0.20
0.20–0.24
0.24–0.30
0.30–0.36
0.36–0.42
0.42–0.50
0.50–0.60
0.60–0.72
0.72–0.90
0.90–1.25
hpT i
hθi
90 < θ < 105
d2 σ/dpdΩ
0.175
0.219
0.266
0.330
0.390
0.458
0.547
0.647
0.783
0.962
96.5
97.0
97.4
97.0
96.4
97.2
97.0
97.1
97.0
97.1
400.47
230.48
159.35
108.77
64.00
48.60
26.36
10.81
4.11
0.39
±
±
±
±
±
±
±
±
±
±
131.87
12.28
8.37
6.88
5.05
3.75
2.43
1.35
0.67
0.10
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
±
77.52
60.13
60.63
53.41
40.89
32.29
25.08
23.04
18.05
14.50
60.79
41.44
37.43
31.22
25.96
18.09
15.17
13.65
11.17
7.39
4.99
35.32
23.23
20.04
15.05
12.20
9.38
7.35
6.18
4.03
2.58
0.72
28.51
12.96
9.58
7.45
4.70
4.45
3.17
1.72
0.88
0.13
68
hpT i
0.116
0.145
0.181
0.220
0.270
0.329
0.389
0.458
0.547
0.656
0.798
hθi
34.9
35.0
34.9
34.5
34.8
34.8
34.9
34.7
34.7
34.7
34.4
30 < θ < 40
d2 σ/dpdΩ
803.67 ± 33.43 ±
760.36 ± 29.12 ±
857.07 ± 26.72 ±
812.54 ± 25.61 ±
720.86 ± 20.02 ±
604.12 ± 18.00 ±
491.06 ± 16.31 ±
370.65 ± 12.19 ±
219.35 ±
8.14 ±
131.94 ±
5.63 ±
63.39 ±
3.31 ±
hpT i
hθi
50 < θ < 60
d2 σ/dpdΩ
0.144
0.179
0.219
0.267
0.328
0.386
0.454
0.541
0.646
0.783
1.008
55.2
54.7
54.9
55.0
55.0
54.6
54.6
54.6
54.7
54.6
54.4
572.16
512.85
468.70
451.26
368.21
282.35
199.52
133.63
78.05
26.60
6.12
±
±
±
±
±
±
±
±
±
±
±
38.92
29.24
23.83
19.82
16.05
12.13
9.79
8.30
6.42
3.05
1.10
hpT i
0.148
0.181
0.219
0.268
0.330
0.390
0.456
0.545
0.650
0.793
1.009
hθi
80.3
81.4
82.1
81.9
81.5
81.7
82.2
81.5
81.5
81.7
81.6
75 < θ < 90
d2 σ/dpdΩ
343.39 ± 32.05 ±
392.86 ± 17.58 ±
304.43 ± 13.83 ±
250.20 ± 10.44 ±
159.30 ±
8.45 ±
127.32 ±
7.40 ±
87.55 ±
5.11 ±
51.08 ±
3.39 ±
18.11 ±
1.77 ±
6.66 ±
0.80 ±
1.76 ±
0.27 ±
87.75
28.84
16.57
15.14
10.98
8.58
6.13
4.43
2.07
1.05
0.42
hpT i
0.144
0.178
0.218
0.268
0.326
0.387
0.456
0.538
0.646
0.784
hθi
114.2
113.7
114.0
113.7
113.8
113.5
112.7
111.9
110.7
110.6
105 < θ < 125
d2 σ/dpdΩ
321.92 ± 16.46 ±
211.87 ±
9.55 ±
139.09 ±
7.72 ±
85.33 ±
4.98 ±
54.50 ±
3.97 ±
32.76 ±
2.95 ±
21.05 ±
2.06 ±
8.96 ±
1.21 ±
2.64 ±
0.56 ±
1.43 ±
0.31 ±
18.47
9.96
6.64
4.88
4.16
3.23
2.64
1.45
0.56
0.41
±
±
±
±
±
±
±
±
±
±
±
26.01
20.49
19.63
15.76
14.45
12.43
8.81
6.56
4.55
2.02
0.62
64.34
49.68
48.46
40.50
32.39
24.05
19.82
16.76
12.46
10.01
6.51