Structure of odd Ge isotopes with $40 < N < 50$

TL;DR

This study uses advanced shell model calculations to interpret experimental data of odd Ge isotopes with neutron numbers between 40 and 50, focusing on excitation energies and electromagnetic moments.

Contribution

It introduces and compares new shell model interactions, including JUN45, jj44b, and an ${fpg}$ interaction, to better understand the structure of these isotopes.

Findings

jj44b interaction agrees well with experimental data

Proton excitations across Z=28 shell are significant

Predicted electromagnetic properties match observed values

Abstract

We have interpreted recently measured experimental data of $^{77}$Ge, and also for $^{73,75,79,81}$Ge isotopes in terms of state-of-the-art shell model calculations. Excitation energies, B(2) values, quadrupole moments and magnetic moments are compared with experimental data when available. The calculations have been performed with the recently derived interactions, namely with JUN45 and jj44b for ${f_{5/2}pg_{9/2}}$ space. We have also performed calculation for ${fpg_{9/2}}$ valence space using an ${fpg}$ effective interaction with $^{48}$Ca core and imposing a truncation to study the importance of the proton excitations across the Z=28 shell in this region. The predicted results of jj44b interaction are in good agreement with experimental data.