Two-phonon $\gamma$-vibrational states in rotating triaxial odd-$A$ nuclei

TL;DR

This paper investigates the distribution of two-phonon gamma vibrational states in the rotating triaxial odd-A nucleus $^{103}$Nb using a particle vibration coupling model, revealing how collectivity varies with rotation.

Contribution

It applies the particle vibration coupling model to analyze two-phonon gamma vibrational states in $^{103}$Nb for the first time, extending previous analyses of zero and one phonon bands.

Findings

Three two-phonon bands share collectivity equally at finite rotation.

The $K= ext{Omega}+4$ state is the purest at zero rotation.

The model successfully describes the distribution of vibrational collectivity.

Abstract

Distribution of the two phonon $\gamma$ vibrational collectivity in the rotating triaxial odd-$A$ nucleus, $^{103}$Nb, that is one of the three nuclides for which experimental data were reported recently, is calculated in the framework of the particle vibration coupling model based on the cranked shell model plus random phase approximation. This framework was previously utilized for analyses of the zero and one phonon bands in other mass region and is applied to the two phonon band for the first time. In the present calculation, three sequences of two phonon bands share collectivity almost equally at finite rotation whereas the $K=\Omega+4$ state is the purest at zero rotation.