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

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.