| Energy Level Statistics of SO（5） Limit of Super-symmetry U（6/4） in Interacting Boson-Fermion Model |
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| 作者姓名： | BAI Hong-Bo ZHANG Jin-Fu ZHOU Xian-Rong |
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| 作者单位： | [1]Department of Physics, Chifeng University, Chifeng 024001, China [2]Department of Physics, Liaoning Normal University, Dalian 116029, China |
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| 基金项目： | The project supported by National Natural Science Foundation of China under Grant Nos. 10265001 and 10347115 and Key Scientific Research Fund of Inner Mongolian Educational Bureau under Grant No. NJ04116 |
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| 摘 要： | We study the energy level statistics of the SO（5） limit of super-symmetry U（6/4） in odd-A nucleus using the interacting boson-fermion model. The nearest neighbor spacing distribution （NSD） and the spectral rigidity （Δ3） are investigated, and the factors that affect the properties of level statistics are also discussed. The results show that the boson number N is a dominant factor. If N is small, both the interaction strengths of subgroups SO^B（5） and SO^BF （5） and the spin play important roles in the energy level statistics, however, along with the increase of N, the statistics distribution would tend to be in Poisson form.
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| 关 键 词： | 玻色子-费密子模型 超对称性 核子 空间分布 Hamiltonian函数 |
| 收稿时间： | 2004-12-23 |
| 修稿时间： | 2004-12-232005-04-06 |
Energy Level Statistics of SO(5) Limit of Super-symmetry U(6/4) inInteracting Boson-Fermion Model |
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| BAI Hong-Bo ZHANG Jin-Fu ZHOU Xian-Rong.Energy Level Statistics of SO(5) Limit of Super-symmetry U(6/4) inInteracting Boson-Fermion Model[J].Communications in Theoretical Physics,2005,44(5):897-900. |
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| Authors: | BAI;Hong-Bo;ZHANG;Jin-Fu;ZHOU;Xian-Rong |
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| Institution: | 1. Department of Physics, Chifeng University, Chifeng 024001, China
;2. Department of Physics, Liaoning Normal University, Dalian 116029, China |
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| Abstract: | We study the energy level statistics of the SO(5) limit of super-symmetry U(6/4) in odd-A nucleus using the interacting boson-fermion model. The nearest neighbor spacing distribution (NSD) and the spectral
rigidity (Δ3) are investigated, and the factors that affect the properties of level statistics are also discussed. The results show that the boson number N is a dominant factor. If N is small, both the interaction strengths of subgroups SOB(5) and
SOBF(5) and the spin play important roles in the energy level statistics, however, along with the increase of N, the statistics distribution would tend to be in Poisson form. |
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| Keywords: | interacting boson-fermion model SO(5) limit of super-symmetry U(6/4) odd-A nucleus level statistics energy levels unfolding nearest neighbor spacing distribution spectral rigidity |
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