A Model Analysis of Triaxial Deformation Dynamics in Oblate-Prolate Shape Coexistence Phenomena

TL;DR

This paper uses a quadrupole collective Hamiltonian to analyze triaxial deformation dynamics in shape coexistence, revealing how symmetry breaking influences energy states, transition probabilities, and wave function localization.

Contribution

It introduces a comprehensive model encompassing various shape coexistence scenarios and provides insights into deformation dynamics and symmetry breaking effects.

Findings

Excited 0+ energy levels indicate potential shape along gamma.

E2 transition probabilities reveal symmetry breaking effects.

Nuclear rotation causes wave function localization in deformation space.

Abstract

From a viewpoint of oblate-prolate symmetry and its breaking, we adopt the quadrupole collective Hamiltonian to study dynamics of triaxial deformation in shape coexistence phenomena. It accommodates the axially symmetric rotor model, the $\gamma$-unstable model, the rigid triaxial rotor model and an ideal situation for the oblate-prolate shape coexistence as particular cases. Numerical solutions of this model yield a number of interesting suggestions. (1) The relative energy of the excited 0+ state can be a signature of the potential shape along the $\gamma$ direction. (2) Specific E2 transition probabilities are sensitive to the breaking of the oblate-prolate symmetry. (3) Nuclear rotation may induce the localization of collective wave functions in the ($\beta, \gamma$) deformation space.