Hidden Euclidean dynamical symmetry in the U(n+1) vibron model

Autor: Zhang, Yu, Wang, Zi-Tong, Jiang, Hong-Di, Chen, Xin
Rok vydání: 2023
Předmět:
Zdroj: Symmetry, 14, 2219 (2022)
Druh dokumentu: Working Paper
Popis: Based on the boson realization of the Euclidean algebras, it is found that the E($n$) dynamical symmetry (DS) may emerge at the critical point of the U($n$)-SO($n+1$) quantum phase transition. To justify this finding, we provide a detailed analysis of the critical dynamics in the U($n+1$) vibron model in both quantal and classical ways. It is further shown that the low-lying structure of $^{82}$Kr may serve as an excellent empirical realization of the E(5) DS in experiments.
Databáze: arXiv