Behavior of odd-even mass staggering around132Sn

Abstract

We have performed shell-model calculations of binding energies of nuclei around ${}^{132}$Sn. The main aim of our study has been to find out if the behavior of odd-even staggering across $N=82$ is explainable in terms of the shell model. In our calculations, we have employed realistic low-momentum two-body effective interactions derived from the charge-dependent Bonn nucleon-nucleon potential that have already proved quite successful in describing the spectroscopic properties of nuclei in the ${}^{132}$Sn region. Comparison shows that our results fully explain the trend of the experimental staggering.