Shell model and deformed shell model spectroscopy of $^{62}$Ga

TL;DR

This study uses shell model and deformed shell model calculations to analyze high-spin states in $^{62}$Ga, achieving good agreement with experimental data and providing insights into energy bands and pairing energies.

Contribution

It presents a comprehensive comparison of shell model and deformed shell model approaches for $^{62}$Ga using the jj44b interaction, which is a novel detailed analysis in this context.

Findings

Reasonable agreement with experimental high-spin state data.

Similar results from shell model and deformed shell model calculations.

Accurate reproduction of energy bands and pairing energies.

Abstract

In the present work we have reported comprehensive analysis of recently available experimental data [H.M. David et al., Phys. Lett. B {\bf 726}, 665 (2013)] for high-spin states up to $17^+$ with $T=0$ in the odd-odd $N=Z$ nucleus $^{62}$Ga using shell model calculations within the full $f_{5/2}pg_{9/2}$ model space and deformed shell model based on Hartee-Fock intrinsic states in the same space. The calculations have been performed using jj44b effective interaction developed recently by B.A. Brown and A.F. Lisetskiy for this model space. The results obtained with the two models are similar and they are in reasonable agreement with experimental data. In addition to the $T=0$ and $T=1$ energy bands, band crossings and electromagnetic transition probabilities, we have also calculated the pairing energy in shell model and all these compare well with the available theoretical results.