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Energy Level statistics in Particle—Rotor Model

Communications in Theoretical Physics 2002年第5期37卷 583-588页

作者： ZHOUXian－Rong MENGJie 等 InstituteofTheoreticalPhysics TheChineseAcademyofSciencesP.O.Box2735Beijing100080China DepartmentofTechnicalPhysics PekingUniversityBeijing100871China

Energy level statistics of a system consisting of six particles interacting by delta force in a two- model coupled with a deformed core is studied in particle-rotor model. For single- shell and two- shell the exact energies for our statistical analysis are obtained from a full diagonalization of the Hamiltonian, while in two- case the configuration truncation is used. The nearest-neighbor distribution of energy levels and spectral rigidity are studied as the function of spin. The results of single- shell are compared with those in two- case. It is showed that the system becomes more regular when single- space is replaced by two- shell although the basis size of the configuration space is unchanged. The degree of chaoticity of the system, however, changes slightly when configuration space is enlarged by extending single- shell to two- shell .

关键词： particle-rotor model spectral statistics the nearest-neighbor distribution spectral rigidity

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spectral fluctuations in the interacting boson model

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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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