Gamow-Teller transition strengths for selected ${fp}$ shell nuclei

TL;DR

This paper systematically models Gamow-Teller transition strengths in specific $fp$ shell nuclei using shell model interactions, achieving qualitative agreement with experimental data and closely reproducing summed transition strengths.

Contribution

It introduces a comprehensive shell model analysis of Gamow-Teller transitions in selected nuclei, including higher orbital effects with $fpg_{9/2}$ space and new interactions.

Findings

Qualitative agreement with experimental transition strengths

Summed transition strengths closely match observed data

Higher orbital effects are significant for certain transitions

Abstract

We have reported a systematic shell model description of the experimental Gamow-Teller transition strength for $^{44}$Sc $\rightarrow$ $^{44}$Ca, $^{45}$Ti $\rightarrow$ $^{45}$Sc, $^{48}$Ti $\rightarrow$ $^{48}$V, $^{66}$Co $\rightarrow$ $^{66}$Ni, and $^{66}$Fe $\rightarrow$ $^{66}$Co transitions using KB3G and GXPF1A interactions for $fp$ model space. In order to see the importance of higher orbital for $^{66}$Co $\rightarrow$ $^{66}$Ni and $^{66}$Fe $\rightarrow$ $^{66}$Co transitions, we have reported the shell model results with $fpg_{9/2}$ space using GXPF1Br+$V_{MU}$ interaction. We have obtained the qualitative agreement for the individual transitions, while the calculated summed transition strengths closely reproduce the observed ones.