Large scale shell model calculations for odd-odd $^{58-62}$Mn isotopes

TL;DR

This study performs large-scale shell model calculations for odd-odd $^{58-62}$Mn isotopes using two different model spaces and interactions, comparing results with experimental data to understand nuclear structure.

Contribution

It provides a comparative analysis of shell model calculations in different valence spaces and interactions for Mn isotopes, highlighting the importance of specific orbitals.

Findings

KB3G interaction predicts better results for $^{60}$Mn.

Both interactions perform well for low-lying states in $^{58}$Mn.

$fpg$ interaction is necessary for negative parity and high-spin states.

Abstract

Large scale shell model calculations have been carried out for odd-odd $^{58-62}$Mn isotopes in two different model spaces. First set of calculations have been carried out in full $\it{fp}$ shell valence space with two recently derived $\it{fp}$ shell interactions namely GXPF1A and KB3G treating $^{40}$Ca as core. The second set of calculations have been performed in ${fpg_{9/2}}$ valence space with the $fpg$ interaction treating $^{48}$Ca as core and imposing a truncation by allowing up to a total of six particle excitations from the 0f$_{7/2}$ orbital to the upper $\it{fp}$ orbitals for protons and from the upper $\it{fp}$ orbitals to the 0g$_{9/2}$ orbital for neutron. For low-lying states in $^{58}$Mn, the KB3G and GXPF1A both predicts good results and for $^{60}$Mn, KB3G is much better than GXPF1A. For negative parity and high-spin positive parity states in both isotopes $fpg$ interaction is required. Experimental data on $^{62}$Mn is sparse and therefore it is not possible to make any definite conclusions. More experimental data on negative parity states is needed to ascertain the importance of 0g$_{9/2}$ and higher orbitals in neutron rich Mn isotopes.