Seniority isomerism in proton-rich N=82 isotones and its indication to stiffness of the Z=64 core

Abstract

The $10^{+}$ and $27/2^{-}$ isomers of the $Z>64$, $N=82$ nuclei are investigated in the shell model framework. We derive an extended seniority reduction formula for the relevant $E2$ transition strengths. Based on the extended formula, as well as on the approximate degeneracy among the $0h_{11/2}$, $2s_{1/2}$ and $1d_{3/2}$ orbits, we argue that the $B(E2)$ data require the ${}^{146}$Gd core excitation. The energy levels of both parities and the $B(E2)$ values are simultaneously reproduced by a multi-$j$ shell model calculation with the MSDI, if the excitations from $(0g_{7/2}1d_{5/2})$ to $(0h_{11/2}2s_{1/2}1d_{3/2})$ are taken into account.

To be published in Phys. Rev. C, Revtex 25 pages with 9 Postscript figures

References in corpus (2)

• Extended shell-model calculation for even N=82 isotones with realistic effective interactions
• Study of odd-mass N=82 isotones with realistic effective interactions

Cited by in corpus (4)

• Predicting magic numbers of nuclei with semi-realistic nucleon-nucleon interactions
• Shell structure in neutron-rich Ca and Ni nuclei under semi-realistic mean fields
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Can realistic interaction be useful for nuclear mean-field approaches?