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.

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

References in corpus (7)

• The r-process of stellar nucleosynthesis: Astrophysics and nuclear physics achievements and mysteries
• Value of the axial-vector coupling strength in $\beta$ and $\beta \beta$ decays: A review
• Second-forbidden nonunique ${\beta }^{-}$ decays of ${}^{24}$Na and ${}^{36}$Cl assessed by the nuclear shell model
• Shell-model description for the properties of the forbidden ${\beta }^{-}$ decay in the region "north-east" of ${}^{208}$Pb
• Shell-model description for the first-forbidden ${\beta }^{-}$ decay of ${}^{207}$Hg into the one-proton-hole nucleus ${}^{207}$Tl
• Structure of ${}^{46,47}$Ca from the ${\beta }^{-}$ decay of ${}^{46,47}$K in the framework of nuclear shell model
• Shell model study of first-forbidden beta decay around ${}^{208}$Pb

Cited by in corpus (3)

• Unique forbidden beta decays at zero momentum transfer
• Shell-model study for allowed and forbidden ${\beta }^{-}$ decay properties in the mass region "south" of ${}^{208}$Pb
• Shell-model study of $\log ft$ values for ${}^{139,140,141}$Ba $\to$ ${}^{139,140,141}$La transitions