Euclidean Dynamical Symmetry in Nuclear Shape Phase Transitions

Abstract

The Euclidean dynamical symmetry hidden in the critical region of nuclear shape phase transitions is revealed by a novel algebraic F(5) description. With a nonlinear projection, it is shown that the dynamics in the critical region of the spherical--axial deformed and the spherical--$\gamma$ soft shape phase transitions can indeed be manifested by this description, which thus provides a unified symmetry--based interpretation of the critical phenomena in the region.

arXiv comment5 pages, 2 figures, 2 tables

References in corpus (9)

• Quantum phase transitions in the interacting boson model
• Quasi dynamical symmetry in an interacting boson model phase transition
• A computationally tractable version of the collective model
• Analytic descriptions for transitional nuclei near the critical point
• Partial Dynamical Symmetry at Critical-Points of Quantum Phase Transitions
• An algebraic approach to problems with polynomial Hamiltonians on Euclidean spaces
• Simple, empirical order parameter for a first order quantum phase transition in atomic nuclei
• SU(3) quasidynamical symmetry underlying the Alhassid--Whelan arc of regularity
• Unified description of 0+ states in a large class of nuclear collective models

Cited by in corpus (5)

• Sextic potential for $\gamma$-rigid prolate nuclei
• Shape coexistence in even-even nuclei: A theoretical overview
• The emergent dynamical symmetry at the triple point of nuclear deformations
• Shape phase mixing in critical point nuclei
• Description of the critical point symmetry in 124Te by IBM-2