Energy Level Statistics of the SO(6) Limit of Super-Symmetry U(6/4)in the IBFM

  • The energy levels of the SO(6) limit of super-symmetry U(6/4) belonging to odd-A nucleus are calculated with the interacting boson-fermion model. Its emphasis is to study the statistical properties of the nearest neighbor spacing distribution(NSD) and the spectral rigidity(△ ).And the factors that affect the properties of level statistics are also investigated. The calculated results indicate that the finite boson number N effect is prominent. When N has a value close to a realistic one, both the interaction strength of subgroup SOBF(5) and the spin play an important role in the energy level statistics. However, in the case of N close to infinite, the statistics all tend to be Poisson type.
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  • [1] . Metha M L. Random Matrices. New York: Academic, 19672. SHU Jing, RAN Ying, JI Tao et al. Phys. Rev. , 2003, C67: 044304-13. CHENG Nan-Pu, ZHENG Ren-Rong, ZHU Shun-Quan. HEP NP,2001, 25( 8) : 736 - 742(in Chinese)(程南璞,郑仁蓉,朱顺泉.高能物理与核物理,2001,25(8):736-742)4. Arima A, Iachello F. Phys. Rev. Lett. , 1975, 35: 10695. Iachello F. Phys. Rev. Lett. , 1980, 44: 7726. Iachello F, Kuyucak S. Ann. Phys. ( N. Y. ) , 1981, 136: 197. Balantekin A B. et al. Nucl .Phys. , 1981, A370: 2848. SUN Hong-Zhou, HAN Qi-Zhi. HEP NP, 1982, 6: 317(in Chinese)(孙洪洲,韩其智.高能物理与核物理,1982,6: 317)9. Balantekin A B. Ph. D. Thesis, Yale University, 198210. Mehta M L. Random Matrices (2nd ed) . New York: Academic Press,1991. 14, 15, 319, 52411. Alhassid Y, Vretenar D. Phys. Rev. , 1992, C46(4) : 1334 - 1338
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BAI Hong-Bo, ZHANG Jin-Fu and ZHOU Xian-Rong. Energy Level Statistics of the SO(6) Limit of Super-Symmetry U(6/4)in the IBFM[J]. Chinese Physics C, 2005, 29(8): 752-756.
BAI Hong-Bo, ZHANG Jin-Fu and ZHOU Xian-Rong. Energy Level Statistics of the SO(6) Limit of Super-Symmetry U(6/4)in the IBFM[J]. Chinese Physics C, 2005, 29(8): 752-756. shu
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Received: 2004-11-08
Revised: 1900-01-01
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Energy Level Statistics of the SO(6) Limit of Super-Symmetry U(6/4)in the IBFM

    Corresponding author: BAI Hong-Bo,
  • Department of Physics, Chifeng University, Inner Mongolia 024001, China2 Department of Physics, Liaoning Normal University, Dalian 116029, China

Abstract: The energy levels of the SO(6) limit of super-symmetry U(6/4) belonging to odd-A nucleus are calculated with the interacting boson-fermion model. Its emphasis is to study the statistical properties of the nearest neighbor spacing distribution(NSD) and the spectral rigidity(△ ).And the factors that affect the properties of level statistics are also investigated. The calculated results indicate that the finite boson number N effect is prominent. When N has a value close to a realistic one, both the interaction strength of subgroup SOBF(5) and the spin play an important role in the energy level statistics. However, in the case of N close to infinite, the statistics all tend to be Poisson type.

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