Aspects of Shape Coexistence in the Geometric Collective Model of Nuclei

TL;DR

This paper investigates the coexistence of spherical and deformed nuclear shapes using an algebraic model, highlighting the need to modify moments of inertia for accurate descriptions.

Contribution

It introduces a modified approach to modeling shape coexistence in nuclei by adjusting the moments of inertia within the algebraic collective model.

Findings

Modified the $eta$-dependence of moments of inertia for better shape coexistence description

Demonstrated the effectiveness of two separate bases in the algebraic model

Provided insights into the critical-line behavior of nuclear shapes

Abstract

We examine the coexistence of spherical and $\gamma$-unstable deformed nuclear shapes, described by an SO(5)-invariant Bohr Hamiltonian, along the critical-line. Calculations are performed in the Algebraic Collective Model by introducing two separate bases, optimized to accommodate simultaneously different forms of dynamics. We demonstrate the need to modify the $\beta$-dependence of the moments of inertia, in order to obtain an adequate description of such shape-coexistence.