Influence of triaxial deformation on wobbling motion in even-even nuclei

TL;DR

This paper investigates how triaxial deformation angle gamma affects wobbling motion in even-even nuclei using the triaxial rotor model, highlighting the harmonic approximation's validity at gamma=30° and analyzing experimental data from $^{110}$Ru.

Contribution

It demonstrates the dependence of wobbling motion properties on gamma and connects theoretical predictions with recent experimental observations.

Findings

Harmonic approximation is accurate at gamma=30°

Experimental data from $^{110}$Ru supports wobbling band interpretation

Two distinct angular momentum geometries are identified for different gamma values

Abstract

The influence of triaxial deformation $\gamma$ on the purely collective form of wobbling motion in even-even nuclei are discussed based on the triaxial rotor model. It is found that the harmonic approximation is realized well when $\gamma=30^{\circ}$ for the properties of energy spectra and electric quadrupole transition probabilities, while this approximation gets bad when $\gamma$ deviates from $30^{\circ}$. A recent data from Coulomb excitation experiment, namely $3_1^+$ and $2_2^+$ for the $^{110}$Ru are studied and might be suggested as the bandhead of the wobbling bands. In addition, two types of angular momentum geometries for wobbling motion, stemming from different $\gamma$ values, are exhibited by azimuthal plots.