Structure of $^{71-78}$Ga isotopes in $f_{5/2}pg_{9/2}$ and $fpg_{9/2}$ spaces

TL;DR

This paper conducts extensive shell model calculations for Ga isotopes in specific nuclear spaces, comparing effective interactions to improve understanding of their high-spin states and nuclear structure.

Contribution

It provides a comprehensive analysis of Ga isotopes using three different interactions, highlighting the limitations of current models and suggesting areas for improvement.

Findings

fpg interaction better for lighter isotopes

jj44b interaction better for heavier isotopes

existing interactions need further refinement

Abstract

We have performed comprehensive set of shell model calculations for Ga isotopes including high-spin states with three different effective interactions. This work will add more information in the earlier work by Cheal {\it et al.} for odd-even Ga isotopes [ Phys. Rev. Lett. 104, 252502 (2010)] and Man\'e {\it et al.} for odd-odd Ga isotopes [ Phys. Rev. C 84, 024303 (2011)], where only few excited states are studied in $f_{5/2}pg_{9/2}$ space. For lighter isotopes $fpg$ interaction is better and for heavier isotopes jj44b is quantitatively better than JUN45. These results show that limitation of existing interactions and calling for further improvements to predict nuclear structure properties of Ga isotopes.