Towards a new semi-classical interpretation of the wobbling motion in $^{163}$Lu

TL;DR

This paper introduces a semi-classical interpretation of wobbling bands in $^{163}$Lu, describing experimental data through a particle-triaxial rotor model with specific band configurations and core polarization effects.

Contribution

It presents a new semi-classical framework for wobbling motion in $^{163}$Lu, incorporating particle-core coupling and core polarization effects to explain experimental observations.

Findings

Quantitative description of energies and electromagnetic transitions.

Identification of regions with transversal wobbling mode.

Differentiation of moments of inertia for various bands.

Abstract

A new interpretation for the wobbling bands in $^{163}$Lu is given within a particle-triaxial rotor semi-classical formalism. While in the previous papers the bands TSD1, TSD2, TSD3 and TSD4 are viewed as the ground, one, two and three phonon wobbling bands, here the corresponding experimental results are described as the ground band with spin equal to I=R+j, for R=0,2,4,...(TSD1), the ground band with I=R+j and R=1,3,5,...(TSD2), the one phonon excitations of TSD2 (TSD3), with the odd proton moving in the orbit $j=i_{13/2}$, and the ground band of I=R+j, with R=1,3,5,... and $j=h_{9/2}$ (TSD4). The moments of inertia (MoI) of the core for the first three bands are the same, and considered to be free parameters. Due to the core polarization effect caused by the particle-core coupling, the MoI's for TSD4 are different. The energies and the e.m. transitions are quantitatively well described. Also, the phase diagram of the odd system is drawn. In the parameter space one indicates where the point associated with the fitted parameters is located and also which is the region of transversal wobbling mode as well as where the wobbling motion is forbidden.