Coexisting partial dynamical symmetries and multiple shapes

TL;DR

This paper introduces an algebraic method to construct Hamiltonians with multiple partial dynamical symmetries, enabling the modeling of shape coexistence phenomena in nuclei within the interacting boson model.

Contribution

It provides a novel algebraic procedure to build Hamiltonians with several partial dynamical symmetries, relevant for describing multiple coexisting nuclear shapes.

Findings

Constructed Hamiltonians with multiple PDSs for shape coexistence

Demonstrated the method within the interacting boson model

Maintained solvability and quantum numbers in selected bands

Abstract

We present an algebraic procedure for constructing Hamiltonians with several distinct partial dynamical symmetries (PDSs), of relevance to shape-coexistence phenomena. The procedure relies on a spectrum generating algebra encompassing several dynamical symmetry (DS) chains and a coherent state which assigns a particular shape to each chain. The PDS Hamiltonian maintains the DS solvability and quantum numbers in selected bands, associated with each shape, and mixes other states. The procedure is demonstrated for a variety of multiple quadrupole shapes in the framework of the interacting boson model of nuclei.