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Self-consistent description of multipole strength
in exotic nuclei
J. Terasaki, J. Engel, M. Bender, J. Dobaczewski, W. Nazarewicz, and M. Stoitsov
Mar. 31, 2005
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http://www.nndc.bnl.gov/nudat2/
Nuclear chart
Z
N
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Strength function
∑∑−=
=J
JMkJMk
kJ ELΨFΨES )(ˆ)(
2
0
Lorenzian (
isovector and isoscalar
operator transition
forces pairing type-volume and Skyrme
ion,approximat phase random clequasiparti
state ground
state excited
:)
)(:ˆ
:
:
0
EL
ΩYrF
ΨΨ
k
JMn
JM
k
∝
←⎭⎬⎫
PRC 71, 034310 (2005)
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124Sn120Sn 118Sn
116Sn
Cro
ss s
ectio
n [m
b]
Photon energy [MeV]
B.L. Berman and S.C Fultz, Rev.Mod.Phys. 47 (1975) 713 Our calculation (SkM*)
Isovector 1−
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Isoscalar 1− strength functions
N=50 82 126
A=100 132 176
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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At A = 154 - 162 (N = 104 - 112)ground states : deformed
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Isoscalar 1− strength functions
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Transition density
0)(ˆ);( ΨrρΨkrρ k p or ntr
p or n =
);()();( 02 krρΩYΩdrkrρ J
trp or n
trp or n ∫=
One-dimensional
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↓↓
Transition densities ofa stable nucleus
c.c.+≅−
−
−
tωik
tFitFi
eΨrρΨΨrρΨΨerρeΨ
0
000)(ˆ)(ˆ
0
)(ˆ)(ˆ)(ˆ
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↓
↓
Near neutron drip line
↓
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Recent experimental studies near 132Sn
D.C. Radford et al. Phys.Rev.Lett. 88 (2002) 222501,D.C. Radford, talk at conf. “Exotic Nuclei and Atomic Masses 2004”
Measurement of 1− strength of 132Sn is in progress at GSI.
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Summary
• Strength functions of even Sn isotopes have beeninvestigated from the proton drip line to neutron drip line.
1. Strength of Isoscalar 1− mode increases dramaticallyin a low-energy region as N approaches the neutrondrip line.
2. The state of the low-energy peak looks like a “neutron-skin oscillation” or continuum-energy state.
• We can obtain isoscalar 1− solutions accurately without contamination of the center-of-mass motion.