Influence of triaxiality on the description of low-energy excitation spectrum of $^{96}$Zr

TL;DR

This paper investigates how triaxiality affects the low-energy excitation spectrum of $^{96}$Zr using the geometrical collective model and the Bohr Hamiltonian, revealing the impact of shape asymmetry on nuclear excitations.

Contribution

It introduces a method to analyze the influence of triaxiality by rotating the potential in the $b3$-degree of freedom within the Bohr Hamiltonian framework.

Findings

Excitation energies vary with increasing triaxiality.

Reduced quadrupole transition matrix elements are affected by shape asymmetry.

The model provides insights into shape coexistence in $^{96}$Zr.

Abstract

The observed properties of the low-lying collective states of $^{96}$Zr are investigated within the geometrical collective model. The quadrupole-collective Bohr Hamiltonian with the potential having spherical and axially-symmetric deformed minima is applied. The role of triaxiality is investigated by rotating the potential in $\gamma$-degree of freedom so that the deformed minimum occurs at various axially asymmetric shapes. The change of excitation energies and reduced matrix elements of quadrupole transitions with increase of triaxiliaty is analyzed.