How Many Neutrons and Protons Can Get Along? Nuclear Density Func;onal Theory calcula;ons on JAGUAR map the nuclear landscape Objec,ves Impact §  Use the state-­‐of-­‐the-­‐art nuclear density func3onal theory, coupled with state-­‐of-­‐the-­‐art computa3onal tools, to es3mate the borders of the nuclear landscape and elucidate its proper3es §  Quan3fy sta3s3cal and systema3c uncertain3es of theore3cal predic3ons §  Es3mate the number of nuclei that can exist in nature proton number
120
stable nuclei
known nuclei
drip line
S2n= 2MeV Z=82
SV-min
80
tw
ro
o-p
Z=50
40
two
Z=28
N=82
Z=20
0
N=28
N=20
0
N=50
40
-ne
u
ton
p
dri
d
tron
rip
line
N=126
120
neutron number
§  inference and calibra3on from experimental data §  model selec3on and learning of model structure §  valida3on and verifica3on of model-­‐based extrapola3ons §  Guidance for the radioac3ve beam facili3es worldwide §  Provide benchmark for planned experiments and future model developments Accomplishments line
Nuclear Landscape 2012
80
§  Enable rigorous data-­‐driven predic3ve modeling in complex physical systems, supported by: 160
Map of bound even-­‐even nuclei as a func,on of the proton number Z and the neutron number N. There 1. By using several models, theorists were
are 767 even-­‐even isotopes known able for the first time to quantify
experimentally: both stable (black uncertainties of predicted borders of the
squares) and radioac,ve (green squares). Mean drip lines and their nuclear existence.
uncertain,es (red) were obtained by averaging the results of 2. Model extrapolations turned out to be
different models. The two-­‐neutron unexpectedly consistent between the
drip line of SV-­‐min (blue) is shown current effective interactions, leading the
together with the sta,s,cal uncertain,es at Z=12 and 68 (blue team to estimate that the number of bound
error bars). The S2n=2 MeV line is nuclei with Z between 2 and 120 is around
also shown (brown) together with its systema,c uncertainty 7,000.
(orange). Reference: J. Erler et al., Nature 486, 509 (2012) Contact: W. Nazarewicz, [email protected] M. Kortelainen, markus.kortelainen@jyu.fi