Wobbling motion for a triaxial rotor plus a single quasiparticle

Abstract

Abstract Wobbling motion in a system comprising of a triaxial rotor and a single quasiparticle is studied employing the particle-rotor model. The energy spectra, wobbling frequencies, electromagnetic transition probabilities, $g$-factors, angular momentum components, the spin coherent state maps, as well as the static quadrupole moments are investigated. These investigations were carried out with regards to the Fermi surface transitioning from the lowest $h_{11/2}$ orbit to the highest one. As the Fermi surface increases, notable transformations occur in the wobbling mode. Initially, the mode exhibits transverse revolution around the short axis of the nucleus. However, as the Fermi surface continues to increase, the mode gradually shifts to longitudinal revolution around the intermediate axis. Eventually, it transitions to transverse revolution around the long axis. It is worth noting that the stability of the long axis transverse mode diminishes relative to its counterpart along the short axis as the total angular momentum increases at $\gamma=20^\circ$.