Simultaneous occurrence of distinct symmetries in nuclei

TL;DR

This paper demonstrates that different emergent symmetries can coexist in nuclear eigenstates, impacting nuclear spectroscopy and phase transition understanding.

Contribution

It reveals the simultaneous occurrence of partial and quasi dynamical symmetries in nuclei, a novel insight into nuclear structure.

Findings

Emergent symmetries can coexist in nuclear eigenstates.

Implications for nuclear spectroscopy and phase transitions.

Provides a new perspective on nuclear symmetry phenomena.

Abstract

We show that distinct emergent symmetries, such as partial dynamical symmetry and quasi dynamical symmetry, can occur simultaneously in the same or different eigenstates of the Hamiltonian. Implications for nuclear spectroscopy in the rare-earth region and for first-order quantum phase transitions between spherical and deformed shapes, are considered.