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.

8 pages, 5 figures, 1 table

References in corpus (11)

• Quantum phase transitions in the interacting boson model
• Analytic descriptions for transitional nuclei near the critical point
• Partial Dynamical Symmetry at Critical-Points of Quantum Phase Transitions
• Partial dynamical symmetry in quantum Hamiltonians with higher-order terms
• Finite-size scaling exponents in the interacting boson model
• Gamma-soft Analog of the Confined Beta-soft Rotor Model
• Unified description of 0+ states in a large class of nuclear collective models
• Euclidean Dynamical Symmetry in Nuclear Shape Phase Transitions
• Linking partial and quasi dynamical symmetries in rotational nuclei
• On the relation between $E(5)-$models and the interacting boson model
• Analytic derivation of an approximate SU(3) symmetry inside the symmetry triangle of the Interacting Boson Approximation model