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Title: New effective interaction for f(5)pg(9)-shell nuclei
Authors: Honma, M
Otsuka, Taka ×
Mizusaki, T
Hjorth-Jensen, M #
Issue Date: 2009
Publisher: Published for the American Physical Society by the American Institute of Physics
Series Title: Physical Review C, Nuclear Physics vol:80 issue:6
Article number: 064323
Abstract: We present a new effective interaction for shell-model calculations in the model space consisting of the
single-particle orbits 1
p
3
/
2
,0
f
5
/
2
,1
p
1
/
2
,and0
g
9
/
2
. Starting with a realistic interaction based on the Bonn-C
potential, 133 two-body matrix elements and four single-particle energies are modified empirically so as to fit
400 experimental energy data out of 69 nuclei with mass numbers
A
=
63

96. The systematics of binding
energies, electromagnetic moments and transitions, and low-lying energy levels are described. The soft
Z
=
28
closed core is observed, in contrast to the stable
N
=
50 shell closure. The new interaction is applied to systematic
studies of three different chains of nuclei, Ge isotopes around
N
=
40,
N
=
Z
nuclei with
A
=
64

70, and
N
=
49 odd-odd nuclei, focusing especially on the role of the
g
9
/
2
orbit. The irregular behavior of the 0
+
2
state
in Ge isotopes is understood as a result of detailed balance between the
N
=
40 single-particle energy gap
and the collective effects. The development of the band structure in
N
=
Z
nuclei is interpreted in terms of
successive excitations of nucleons into the
g
9
/
2
orbit. The triaxial/
γ
-soft structure in
64
Ge and the prolate/oblate
shape coexistence in
68
Se are predicted, showing a good correspondence with the experimental data. The isomeric
states in
66
As and
70
Brare obtained with the structure of an aligned proton-neutron pair in the
g
9
/
2
orbit. Low-lying
energy levels in
N
=
49 odd-odd nuclei can be classified as proton-neutron pair multiplets, implying that the
obtained single-particle structure in this neutron-rich region appears to be appropriate. These results demonstrate
that, in spite of the modest model space, the new interaction turns out to describe rather well properties related
to the
g
9
/
2
orbit in various cases, including moderately deformed nuclei.
ISSN: 0556-2813
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Non-KU Leuven Association publications
× corresponding author
# (joint) last author

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