The emergent dynamical symmetry at the triple point of nuclear deformations

TL;DR

This paper demonstrates that a five-dimensional Euclidean dynamical symmetry can emerge at the triple point of nuclear shape phase diagrams, providing a symmetry-based explanation for observed low-lying nuclear dynamics.

Contribution

It introduces the emergence of Euclidean dynamical symmetry at the triple point in the interacting boson model, linking it to specific nuclear isotopes.

Findings

Euclidean dynamical symmetry may dominate low-lying nuclear states.

Symmetry-based understanding of the triple point in shape phase diagram.

Application to isotopes like $^{108}$Pd, $^{134}$Ba, $^{64}$Zn, and $^{114}$Cd.

Abstract

Based on the boson realization of the Euclidean algebras, it is shown that the five-dimensional Euclidean dynamical symmetry may emerge at the triple point of the shape phase diagram of the interacting boson model, which thus offers a symmetry-based understanding of this isolated point. It is further shown that the low-lying dynamics in $^{108}$Pd, $^{134}$Ba, $^{64}$Zn, and $^{114}$Cd may be dominated by the Euclidean dynamical symmetry.