Shell model description of Ge isotopes

TL;DR

This study uses shell model calculations with various effective interactions to analyze low-energy spectra, quadrupole moments, and occupation numbers in Ge isotopes, comparing results with experimental data.

Contribution

It provides a comprehensive shell model analysis of Ge isotopes employing multiple effective interactions and valence spaces, including the proton subshell $f_{7/2}$, which is less explored.

Findings

Theoretical spectra agree well with experimental data.

Different effective interactions yield consistent results.

Occupation numbers reveal detailed shell structure insights.

Abstract

A shell model study of the low energy region of the spectra in Ge isotopes for $38\leq N\leq 50$ is presented, analyzing the excitation energies, quadrupole moments, $B(E2)$ values and occupation numbers. The theoretical results have been compared with the available experimental data. The shell model calculations have been performed employing three different effective interactions and valence spaces.We have used two effective shell model interactions, JUN45 and jj44b, for the valence space $f_{5/2} \, p \,g_{9/2}$ without truncation. To include the proton subshell $f_{7/2}$ in valence space we have employed the $fpg$ effective interaction due to Sorlin {\it et al.}, with $^{48}$Ca as a core and a truncation in the number of excited particles.