Evolution of single-particle states beyond $^{132}$Sn

TL;DR

This study uses shell-model calculations to explore how single-particle states evolve beyond $^{132}$Sn, focusing on spectroscopic factors and effective energies, and finds good agreement with experimental data.

Contribution

It provides new insights into the evolution of single-particle states in nuclei beyond $^{132}$Sn$ using realistic effective interactions.

Findings

Reproduces experimental spectroscopic data accurately.

Predicts evolution of single-particle states with increasing nucleon number.

Validates the use of low-momentum effective interactions from the CD-Bonn potential.

Abstract

We have performed shell-model calculations for the two one valence-neutron isotones $^{135}$Te and $^{137}$Xe and the two one valence-proton isotopes $^{135,137}$Sb. The main aim of our study has been to investigate the evolution of single-particle states with increasing nucleon number. To this end, we have focused attention on the spectroscopic factors and the effective single-particle energies. In our calculations, we have employed a realistic low-momentum two-body effective interaction derived from the CD-Bonn nucleon-nucleon potential that has already proved quite successful in describing the spectroscopic properties of nuclei in the $^{132}$Sn region. Comparison shows that our results reproduce very well the available experimental data. This gives confidence in the evolution of the single-particle states 4 figures predicted by the present study.