Questioning the wobbling interpretation of low-spin bands in $\gamma$-soft nuclei within the interacting boson-fermion model

TL;DR

This paper challenges the wobbling interpretation of low-spin bands in $\gamma$-soft nuclei by using the interacting boson-fermion model, showing that experimental data are better explained without wobbling.

Contribution

It provides an alternative interpretation of low-lying excited bands in $\gamma$-soft odd-mass nuclei, questioning previous wobbling assignments with a new theoretical approach.

Findings

Predicted mixing ratios are smaller than experimental values.

Calculated ratios indicate a magnetic character consistent with new data.

Earlier wobbling assignments are strongly questioned.

Abstract

An alternative interpretation of the recently reported low-lying excited bands in $\gamma$-soft odd-mass nuclei as wobbling bands is presented in terms of the interacting boson-fermion model. The model Hamiltonian is determined based on the mean-field calculations with the nuclear energy density functionals. The predicted mixing ratios of the $\Delta{I}=1$ electric quadrupole to magnetic dipole transition rates between yrast bands and those yrare bands previously interpreted as wobbling bands in $^{135}$Pr, $^{133}$La, $^{127}$Xe, and $^{105}$Pd are consistently smaller in magnitude than the experimental values on which the wobbling interpretation is based. These calculated mixing ratios indicate predominant magnetic character in agreement with the new experimental data. The earlier wobbling assignments are severely questioned.