Forbidden beta decay properties of $^{135,137}$Te using shell-model

TL;DR

This paper presents shell-model calculations of beta decay properties for isotopes $^{135}$Te and $^{137}$Te, comparing with recent experimental data and providing the first theoretical $ ext{log ft}$ values for these decays.

Contribution

The study offers the first theoretical $ ext{log ft}$ calculations for $^{135}$Te and $^{137}$Te beta decays, aligning with new experimental measurements.

Findings

Calculated $ ext{log ft}$ values match experimental data.

Systematic shell-model analysis of nuclear structure properties.

First theoretical predictions for these specific beta decay transitions.

Abstract

In this work, the large-scale shell-model calculations for $\beta$-decay properties have been done. The $\beta$-delayed $\gamma$-ray spectroscopy has been performed recently at ILL, Grenoble [M. Si \textit{et al.}, Phys. Rev. C {\bf 106}, 014302 (2022)] to study $\beta$-decay properties corresponding to $^{137}$Te (($7/2^-))$ $\rightarrow$ $^{137}$I ($J_f$) transitions. We have done a systematic shell-model study for nuclear structure properties and compared the obtained results with the experimental data. Finally, the $\beta$-decay properties such as the $\log ft$ values and average shape factors have been reported. This is the first theoretical calculation for the $\log ft$ values corresponding to these new experimental data. In addition, we have also reported calculated $\log ft$ results for $^{135}$Te (($7/2^-))$ $\rightarrow$ $^{135}$I ($J_f$) transitions.