Statistical Properties of E(5) and X(5) Symmetries

Details Statistical Properties of E(5) and X(5) Symmetries Statistical Properties of E(5) and X(5) Symmetries

2002-11-19

arxiv.org/abs/nucl-th/0211056v2

Physics

Nuclear Physics

Nuclear Theory

15 pages, 14 figures

Scientific paper

We study the energy level statistics of the states in E(5) and X(5) transitional dynamical symmetries. The calculated results indicate that the statistics of E(5) symmetry is regular and follows Poisson statistics, while the statistics of X(5) symmetry involves two maxima in the nearest neighbor level spacing distribution $P(s)$ and the $\Delta_{3}$ statistics follows the GOE statistics. It provides an evidence that the X(5) symmetry is at the critical point exhibiting competing degree of freedom.

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