Spectral fluctuations in the interacting boson model

被引：0

作者：

吴宇晴 ^{[1
]}

腾威 ^{[1
]}

侯晓杰 ^{[1
]}

那贵秀 ^{[1
]}

张宇 ^{[1
]}

何秉承 ^{[2
]}

罗延安 ^{[2
]}

机构：

[1] Department of Physics, Liaoning Normal University

[2] School of Physics, Nankai University

来源：

Chinese Physics C | 2022年 / 46卷 / 10期

基金：

中国国家自然科学基金;

关键词：

D O I：

暂无

中图分类号：

O572 [高能物理学];

学科分类号：

070202 ;

摘要：

The energy dependence of the spectral fluctuations in the interacting boson model(IBM) and its connections to the mean-field structures are analyzed by adopting two statistical measures:the nearest neighbor level spacing distribution P(S) measuring the chaoticity(regularity) in energy spectra and the Δ3(L) statistics of Dyson and Metha measuring the spectral rigidity.Specifically,the statistical results as functions of the energy cutoff are determined for different dynamical scenarios,including the U(5)-SU(3) and SU(3)-O(6) transitions as well as those near the AW arc of regularity.We observe that most of the changes in spectral fluctuations are triggered near the stationary points of the classical potential,particularly for cases in the deformed region of the IBM phase diagram.Thus,the results justify the stationary point effects from the perspective of statistics.In addition,the approximate degeneracies in the 2~+ spectrum on the AW arc is also revealed from the statistical calculations.

引用

页码：130 / 142

页数：13

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