We calculate the low-lying spectra of the zirconium isotopes (Z = 40) with neutron numbers from N = 52 to N = 60 using the 1p 1/2 0g 9/2 proton and 2s1d0g 7/2 0h 11/2 neutron sub-shells to define the model space. Effective proton-proton, neutron-neutron and proton-neutron interactions have been derived using 88 Sr as closed core and employing perturbative many-body techniques. The starting point is the nucleon-nucleon potential derived from modern meson exchange models. The comprehensive shell-model calculation performed in this work provides a qualitative reproduction of essential properties such as the sub-shell closures in 96 Zr and 98 Zr. PACS number(s): 21.60. Cs, 27.60.+j
We calculate the low-lying spectra of heavy tin isotopes from A=120 to A=130
using the 2s1d0g_{7/2}0h_{11/2} shell to define the model space. An effective
interaction has been derived using 132Sn as closed core employing perturbative
many-body techniques. We start from a nucleon-nucleon potential derived from
modern meson exchange models. This potential is in turn renormalized for the
given medium, 132Sn, yielding the nuclear reaction matrix, which is then used
in perturbation theory to obtain the shell model effective interaction.Comment: 19 pages, Elsevier latex style espart.sty, submitted to Nuclear
Physics
The shell model within the 2s1d0g 7/2 0h 11/2 shell is applied to calculate nuclear structure properties of the even Z = 52 − 62, N = 82 isotones. The results are compared with experimental data and with the results of a quasiparticle random-phase approximation (QRPA) calculation. The interaction used in these calculations is a realistic two-body G-matrix interaction derived from modern meson-exchange potential models for the nucleon-nucleon interaction. For the shell model all the two-body matrix elements are renormalized by theQ-box method whereas for the QRPA the effective interaction is defined by the G-matrix.
The yrast generalized seniority states are compared with the corresponding
shell model states for the case of the Sn isotopes $^{104-112}$Sn. For most of
the cases the energies agree within 100 keV and the overlaps of the wave
functions are greater than 0.7.Comment: 8 pages, revtex. Submitted to Phys. Rev.
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