Mixed symmetry states and β decays of odd-AXe to I isotopes

Abstract

The energy spectra of the parent and daughter nuclei in the \ensuremath{\beta} decays ($^{121\text{\ensuremath{-}}127}\mathrm{Xe}$,${\ensuremath{\beta}}^{+}$$^{121\text{\ensuremath{-}}127}\mathrm{I}$) are considered in the interacting boson fermion model (IBFM-2) with the ${g}_{7/2},{d}_{5/2},{d}_{3/2},{s}_{1/2}$, and ${h}_{11/2}$ single-particle orbitals. Electromagnetic transition probabilities and branching ratios in odd $^{121\text{\ensuremath{-}}127}\mathrm{I}$ isotopes are investigated. Special attention is given to the occurrence of mixed symmetry states, and the $F$-spin structures of the wave functions are analyzed. The $\mathrm{log}{}_{10}\mathit{ft}$ values of the allowed \ensuremath{\beta} decay transitions are calculated. It is found that the IBFM-2 results agree with the experimental data quite well.