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Spectral fluctuations in the interacting boson model

Chinese Physics C 2022年第10期46卷 126-138页

作者： Yu-Qing Wu Wei Teng Xiao-Jie Hou Gui-Xiu Na Yu Zhang Bing-Cheng He Yan-An Luo Department of Physics Liaoning Normal UniversityDalian 116029China School of Physics Nankai UniversityTianjin 300071China

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 Δ_(3)(L)statistics of Dyson and Metha measuring the spectral ***,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 *** 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 ***,the results justify the stationary point effects from the perspective of *** addition,the approximate degeneracies in the 2^(+)spectrum on the AW arc is also revealed from the statistical calculations.

关键词： the interacting boson model spectral statistics stationary point the SU(3)symmetry

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the interacting boson model Ⅱ AND ITS U(5) LIMIT

引用

Science in China,Ser.A 1982年第8期 834-844页

作者：陈学俊张玫孙洪洲韩其智 Department of Engineering Physics Qinghua University Beijing Department of Physics Peking University

In the interacting boson model II of nuclei (often referred to as IBM-II), the protonpairs and neutron pairs are treated as two kinds of bosons, i.e. the proton bosons and theneutron bosons. Such a description is obviously more reasonable. In order to develop such atheory, there are some new problems needed to be solved. Using the basic theory of Lie groupwe shall discuss these problems in some succeeding *** this paper, the general characters of thhe IBM-II are discussed, the wave functions ofIBM-II characterized by the Lie algebra chain U(6)?U(5)?SO(3) are derived, and aformula of energy spectrum with dynamical symmetry U(5) is given. Here we use the term'Lie algebra chain' in order to coincide with the term 'graded Lie algebra chain' indiscussion of odd nuclei.

关键词： AND ITS U LIMIT the interacting boson model

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