Euclidean dynamical symmetry in nuclear shape phase transitions

2014/03/18 by Yu Zhang, Yu‐xin Liu, Yu-Xin Liu +4
Physics and Astronomy · #Crystallography and Radiation Phenomena #Euclidean geometry #Geometry #Nuclear physics research studies #Phase (matter) #Phase transition #Physics #Quantum mechanics #Rare-earth and actinide compounds #Symmetry (geometry) #Theoretical physics #nucl-th

paper · pdf · doi:10.1016/j.physletb.2014.03.017

published as Physics Letter B 732 (2014) 55-58 · 5 pages, 2 figures, 2 tables

openalex publication_date 2014/03/18 · arxiv created 2014/11/26 · arxiv updated 2014/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

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–γ-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.

Citations

• Partial Dynamical Symmetry at Critical Points of Quantum Phase Transitions
• An algebraic approach to problems with polynomial Hamiltonians on Euclidean spaces
• Analytic descriptions for transitional nuclei near the critical point