The emergent dynamical symmetry at the triple point of nuclear deformations

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.

Comments: 8 pages, 5 figures, 1 table