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arXiv · 2302.07602

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

Yu Zhang·Zi-Tong Wang·Hong-Di Jiang·Xin Chen
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Abstract

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.

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Yu Zhang, Zi-Tong Wang, Hong-Di Jiang, Xin Chen. 2023-02-15. Hidden Euclidean dynamical symmetry in the U(n+1) vibron model. https://arxiv.org/abs/2302.07602

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