Influence of moments of inertia on transverse wobbling mode in odd-mass nuclei

TL;DR

This study investigates how moments of inertia influence the transverse wobbling mode in odd-mass nuclei, using the triaxial particle rotor model to match experimental data and explore different rotational excitation modes.

Contribution

It introduces a detailed analysis of the impact of moments of inertia ratios on wobbling modes in $^{105}$Pd, revealing the transition between wobbling about different axes.

Findings

Wobbling mode depends on the ratio of moments of inertia at different axes.

Precession and tunneling are both aspects of quantum wobbling motion.

Tunneling dominates in the yrare states of $^{105}$Pd.

Abstract

The reported transverse wobbling band in odd-mass $^{105}$Pd has been reinvestigated by the triaxial particle rotor model. Employing different parameter sets of moment of inertia (MOI), several calculated results could be in good agreement with the experimental data, which show distinct modes of rotational excitation, respectively. These modes are sensitive to the ratio between the MOI at intermediate and short axis. With the increase of this ratio, a wobble about the short axis of the total angular momentum is gradually changed to a wobble about the intermediate axis. In addition, it is exhibited that precession and tunneling are two aspects of the quantum wobbling motion. The tunneling aspect dominates in the yrare states of $^{105}$Pd. The present results in $^{105}$Pd show the complexity of the transverse wobbling mode.