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

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 (($7/2^{-}))$ $\to$ ${}^{137}$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 (($7/2^{-}))$ $\to$ ${}^{135}$I ($J_f$) transitions.

Comments: 16 pages, 1 figure, 4 tables, Accepted in Nuclear Physics A (2023)