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time(ns)
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counts
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1000
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±time
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B4a%Y)"$92<S+)-0;"2<&#:3"$×74
8"29$9²Q[w%:<;*1"2Q%¾"$3ª<1Y#"2+)3 p = B"$<yL9|#:*D*1%74<#
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~ p =|
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743%*136#½; ¼)+/3ªj[)¼=5I<#+):3F;7û"234*;)<;:<#4a*;:<;+/9$74#"$+/3+/3½#4aw+!
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Q4*;+@)%43G)<-T743:;"2+/3 +!-"$3*16)<1"23(+/w3@;75= +/3<;:×F73@#9|R/¨L7<1"23(ys{4:%G*#)3()z"23
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j4"2+/3<0
84+/<;D<1#)*1;"2wz"2<+)ÜhQ@RN<1+/wS79$;"2j9$z+)- ? = / p 3<:=
Å:6)74<;8#8j*1+/Q92: +)-[+/3@#)"$3L!;"2+/3"$<²7a<1a!9292:*_-T+/*²j*1+)#+)3<²#L)3-T+/*²¼)+/34<¨
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U)
β
1.2
1
ï
0.8
ï
0.6
ï
0.4
ï
0.2
ïï
0
0
ï
0.25
ï
0.5
ï
0.75
1
1.25
1.5
ð ð ð
ñMomentum
(GeV/c)
1.75
2
2.25
2.5
PMi æ¾)<}-T73Y#"$+/3G+)-_;&+/w3@;7Þ-T+/*0;SyL9$;*1%G%L!#<;)wj92!=
B4<1L)*;j\%4(/<}+)-.#&¼)+/3GQL)34%5*1:¸L::}#&<;:92::#"$+/3G74;<=
Counts
Us
ò
10 7
π
+
p
10 6
+
K
10 5
b
10 4
0
b0.2
b0.4
b0.6
b0.8
1
1.2
Mass (GeV)
PMi$ ó¥)%4*;+/3"$Sa!<;<-T+/*j+/<;"|#"$O)SjL)*t#"2:92:<)<
)92:79'#%N-T*1+/Þ;S#"2wY¤+)-'¤¸"2(/@)3%G#&w+/:3@#7\=
mass (GeV)
U?
0.65
0.6
0.55
0.5
0.45
0.4
0.35
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
momentum (GeV)
σmass (GeV)
(A) Mass vs. momentum for kaon candidates
0.045
0.04
0.035
0.03
0.025
0.02
0.015
0.01
0.005
0.4
0.6
0.8
ô
1
1.2
1.4
1.6
momentum(GeV)
(B) Dependence of σmass on momentum
T
.P¢i$A ±z:j[:3%34+!-;&a)<1<0-T*;+/Þ#"2wY¤+)-'¤¸"2(/@+/3G+/w3@;7 E=
~ B0
+w%"2w34<;"2+)3L)9J4"2<1;+/(/*;)+)-)<;<O<=^w+/:3@#7\©~Å `}:<;+/9$74#"$+/3N+);&¼)+/3Gj[)¼N)<}-T73Y#"$+/35+!-_w+/w3@#7\=¿B&%L!<;:%M74*1O/D"2<8
<;:+/3%+/*1%*}j[+)9$R3+/w"')9y8#+;&%L!s=
U>
B }jL)*t#"$928"$%3@#"|yL6#"2+)3w:74#<^-T+/*²#4Ij"$+/3<²
)<<192"2()F;9$R+/*18+/wj92"$6!;%H=_s"$3
;)<;<&)<S)92:79'#%"$3h×F7L!;"2+/3 p = ? Q92+
8<S7jª)<æ )jj*1+@):<)¨G:74&+/3Èæ
)<
!jj92"$% -T+/*0;&7jj*8Q+/73%H¦
æ6x õ E _ W E _ W ?
~ p = pF
B 4}9$+
:*²Q[+/743%
0)<KS<;"$j4920)<;<²:74^+)-J4= > WS:X=/Böæ\74KL)<²;%<1"2*;)Q92YÜJ::
+!-:92"$"$3L!#"$3(w7+)-^#9$Y#*;+)3:+/3@)w"23!#"$+/3H=]_"2(/74*; p = p <;+
8<S#4w:7*1O)<&-T+/*
;N7jj*!3%À92+
:*Q[+)73%<<17j[:*;"$j+/<;:%À+/3¾#NQ:#¢O/*1<;7<ww+/:3@#7 j92+!-T+/*
j4"2+/3N)3%"$%L!#:<=
WS3:*#)9$9$R)¨JQ:-T+/*1#"$¡QL)<1%M;*#)¼F"$3(N6)3hQ)jj492"2:%M#+G 4"$1¤QL)<1%M;*#)¼56)3%4"|
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<1j[:%ª+)-;wjL)*1;"2:926!3ªQ6)9$792!#:%H©4+P
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8"$;3+GQ[Y
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8*11 ý *1j*1<;é6:3@ù #<N# u "$<;<1"23(/vjL)*t#"$92!=ÌÚ3Ã;*1<+)-S#\-T+/7*§w+/:3@
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_ ; ~ ?DA é W î þ¥>@? î D ÿ ~ ?DA W þ¥>@?
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~ p =VU
é
84*; ; n _ C "2<5#¾"$3@O)!*;"'!3FM)3%492<t) ×F7L)3@#"|R/= Ú3 #¾92)Q«-T*;)!¥¨ þ ;
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% é ?î A ; ~ î À I I I# ¨s<;+é #L î
î
î _ ;W _ > ? n ~ n o W À W ? E n o +/< î
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~ p =
84*;&E "$<S#)(/3"|#7%+!-;¼)+)
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3 " <}%4"2*;::;"2+/3\)3%N;&é Q[)xé %"$*;Y#"$+/3N"23N#4D92)QN-T*#)w)¨)3%
F; À _ W ? À n o
~ p =V
I3N73+)*;*;::;%GU "$<;<1"23(a)<1<0<;jY#*17"$<<;4+P
83G"$3ayL(/7*1 p =VUs=^Å:<;U "2%4<0#4zj*;+)"
343@ ÷z~t/) )34
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()*;+/734%\"$<+/3@#)"$3L!;"2+/3a-T*1+/xj"$+/3<w"2<§"2%43@#"|yL%G)<8¼)+/34<=
Ú
8"29$9Q-T+7<1"23(N+)3¢# øS~§ >/ U m ÷z~t p /U *1(/"$+/3H=s"$3;)<;<1<z+)-^;#*1
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β
Up
1.2
1.1
2
2 1/2
p/(p +0.08 )
+ 0.02
1
b0.9
2
2 1/2
p/(p +0.3 )
b0.8
b0.7
b0.6
b0.5
b0.4 b
0
b0.25
b0.5
b0.75
1
1.25
1.5
1.75
®2
Momentum (GeV/c)
T
.PMi i æO/*1<;7<I+):3F;7Þ-T+)*j"2+/3G)3%"$%L!#:<=²BD74*1O/:<
"$3%"$6!;¥#&Q+/73%)*;"$<8+)-.#&j"$+/3G"2%:3F;"$yL!#"$+/3N7s6=
Counts
U/U
x 10 2
1200
1000
Λ(1116)
d800
Σ (1193)
0
c600
°400
Λ(1405)
0
Σ (1385)
®200
b0
1
1.1
1.2
1.3
1.4
Λ(1520)
1.5
1.6
1.7
1.8
Mass (GeV)
T[
PMi$r 5"$<;<;"$3(a!<;<8+)Ü¢;&¼!!+/3G6)3%4"2%L!;<:=
U)
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é
é
ø üU MU ¦ é W é ; >/?) Ø p 5:X©
ø ¦ W ; >@? U > 5YX©
ø ü ¦ éî é W ; >)> 4D5:X=
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;L)3;"23"|#"2)9F+/w3@;7
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O)*t#Y{%:;*;w"234%Q@RM;¼)+/3h)3%;Y{s"|#:%s<t!;FRj*1+/3H=Ú3;6)<1+)-#"%$ú
ø ü ¨F#ã ûüM)34%#4 %:;*1"$3};¥j4*;"2)*tRO/:*1;Y{[=^Ú3a#}6!<;¥+!&- "'$³ú ø ü_¨
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B4w+)39$R5L)*1(/%jL)*t#"2:92:+/w"23( -T*1+/ ;j*;"$a!*1R\O/*t#¡{"2<¥;K
ûü_=B92"|-T:;"2w
+!-_#4c ÷Ð"2<8#D92+)3(/<t¥+!-¿#*;(/*;+)73%M<t!;@Rj*;+)3<z%"$<;74<;<;:%Á~ S)(; Ø: =
Ì<;"$(/3"$y6)3@374Q[:*0+)-;<1zjL)*t#"2:92:<%:66R +/7s#<;"$%I;I#)*;():6= +)3<;:×743@#9|R/¨L7<1"23(
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Counts
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0
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A) Difference between x coordinates
2000
1000
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Counts
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0
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0
>
2.5
5
10
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∆y
B) Difference between y coordinates
2000
1000
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0
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0
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7.5
10
∆z (cm)
C) Difference between z coordinates
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Counts
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15
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10
c6000
7000
5000
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3000
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2000
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1000
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¯3000
I
800
J
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600
400
200
1000
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1000
5000
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b0
B) y axis projection
Counts
Counts
E
d8000
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H
10
x (cm)
0
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M
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H
0
10
L
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0
1
1.5
2
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x 10
14
12
10
8
6
4
2
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0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
1
1.5
2
0
1
2.5
Em γ (GeV)
(A) Raw spectrum
2
2.5
E² γ (GeV)
(B) Normalized spectrum
-2
σ (µb)
Acceptance
x 10
1.5
0.45
0.4
1.4
1.2
0.35
1
0.3
0.25
0.8
0.2
0.6
0.15
0.4
0.1
0.2
0.05
0
1
1.5
2
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(C) Acceptance
0
1
1.5
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x 10
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0.45
0.4
0.35
0.3
0.25
0.2
0.15
0.1
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-1.8
-1.6
-1.4
-1.2
-1
-0.8
-0.6
½t (GeV2¾)0
-0.4
-0.2
-0.4
-0.2
Yield (a.u.)
(A) Acceptance in t
40000
35000
30000
25000
20000
15000
10000
5000
0
-1.8
-1.6
-1.4
-1.2
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-0.6
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(B) Comparison of simulation with data
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20000
15000
10000
5000
0
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
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0.8
Counts
(A) Thrown angular distribution
40
20
0
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
Ëcos(β*¾)1
0.8
Ratio=B/A
(B) Accepted angular distribution
0.002
0.001
0
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
Ëcos(β*¾)1
0.8
(C) Acceptance
odpqts)uvɵyxÌ zU { À~b*}]}]W¡ª*}]*ÍUÁdίW]~* À~
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10000
5000
0
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-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
Õcos(β*Ö)1
0.8
Counts
(A) Thrown angular distribution
100
50
0
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
Õcos(β*Ö)1
0.8
Ratio=B/A
(B) Accepted angular distribution
0.01
0.0075
0.005
0.0025
0
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
Õcos(β*Ö)1
0.8
(C) Acceptance
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60
50
40
30
20
10
0
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
Õcos(β*Ö)1
0.8
Intensity (arbitrary units)
(A) Raw angular distribution
70
60
50
40
30
20
10
0
-1
Õcos(β*Ö)1
(B) Acceptance-corrected angular distribution
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
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0.6
0.8
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°Þ
80
70
60
50
40
30
20
10
0
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
Õcos(β*Ö)1
0.8
Intensity (arbitrary units)
(A) Raw angular distribution
22.5
20
17.5
15
12.5
10
7.5
5
2.5
0
-1
Õcos(β*Ö)1
(B) Acceptance-corrected angular distribution
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
odpqts)uwv8µyxÚtÚ ·6Ø´fÙÉ ~
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100
80
å
60
ã
Σ(1385)→Λæ π events
ã
0
40
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Λ(1405)→Σ π events
0
20
0
-0.02
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0.02
0.04
0.06
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0.08
0.1
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20
18
16
14
12
10
8
6
4
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1.08
1.1
1.12
1.14
1.16
1.18
1.2
1.22
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Counts
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5
4
3
2
1
0
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0.02
0.04
0.06
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30000
20000
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1.55
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1.25
1.3
1.35
1.25
1.3
1.35
60
40
20
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1.4
1.45
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1.5
1.55
Λπ mass (GeV)
Acceptance
(B) Accepted mass distribution
0.01
0.0075
0.005
0.0025
0
1.25
1.3
1.35
1.4
1.45
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20000
15000
10000
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1.4
1.45
1.55
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1.25
1.3
1.35
1.25
1.3
1.35
40
30
20
10
0
1.4
1.45
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1.55
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Acceptance
(B) Accepted mass distribution
0.01
0.005
0
1.25
1.3
1.35
1.4
1.45
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1.25
1.3
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1.35
60
40
20
0
1.35
1.4
1.45
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1.5
1.55
Σπ mass (GeV)
Acceptance
(B) Accepted distribution
0.004
0.003
0.002
0.001
0
1.25
1.3
1.35
1.4
1.45
1.55
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160
140
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120
100
80
60
40
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î
180
160
140
120
100
80
60
40
20
0
0
50
100
150
200
250
300
θ (degrees)
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(A) Predicted γ angular distribution
350
φ (degrees)
180
160
140
120
100
80
60
40
20
0
0
50
100
150
200
250
300
350
φ (degrees)
(B) Counts surviving fiducial cut
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2
3
4
5
6
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I∆φ (degrees)
Eγ, measured (GeV)
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0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
0
0.1
0.8
KEL ,0.6missing0.7mass (GeV)
γ
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0.2
0.3
0.4
0.5
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