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《中国物理C》(英文)编辑部
2024年10月30日

Quasiparticles Plus Rotor Model and the Analysisof Level Statistics of Odd-Odd Nucleus

  • The energy levels of odd-odd nucleus 84Y at low spins were calculated by using the axially symmetric particles plus rotor model. In order to study the statistical properties of the energy levels, the two standard tests of Random-Matrix Theory such as the nearest-neighbor level spacings and the spectral rigidity were adopted. It is shown that the chaotic degree of the energy levels initially increases with increasing spin and reaches a maximum around I=10, and then decreases for spins above I≈10. On the other hand, the proton-neutron interaction makes the energy levels slightly regular/ordered. However, the Coriolis force which makes the energy levels chaotic plays a major role in the spectral structure of the odd-odd nucleus 84Y.
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  • [1] . Mehta M L.Random Martrices.New York:Academic Press,19672. Haq R U,Pandey A,Bohigas O.Phys.Rev.Lett.,1982,48(16):1086—10893. Mehta M L.Random Martrices.2nd ed.New York:Academic Press,19914. Giannoni M J,Voros A,Zinn Justin Z.Chaos and Quantum Physics.North-Holland:Amsterdan,19915. YANG Xia-Zhou,Burgdrfer Joachin.Phys.Rev.Lett.,1991,66(8):982—9856. Garrett J D,Robinson J Q,Foglia A J et al.Phys.Lett.,1997,B392:24—297. Bijker R,Frank A,Pittel S.Phys.Rev.,1999,C60:1—48. Guhr T,Mller-Groeling A,Weidenmller H A.Phys.Rep.,1998,299:271—2739. Alhassid Y,Vretenar D.Phys.Rev.,1992,C46(4):1334—133810. ZHU Shun-Quan,ZHENG Ren-Rong,LIN Xin-Wei et al.High Energy Phys.and Nucl.Phys.,1996,20(5):455(in Chinese)(朱顺泉,郑仁蓉,林辛未等.高能物理与核物理,1996,20(5):455)11. ZHENG Ren-Rong,ZHU Shun-Quan,PU Yun-Wei.Phys.Rev.,1997,C56(1):175—17912. WEN Jia-Yan,ZHENG Ren-Rong,ZHU Shun-Quan.Acta Physica Sinica,1999,48(3):433—437(in Chinese)(文家炎,郑仁蓉,朱顺泉.物理学报,1999,48(3):433—437)13. LIAO -JiZhi.Recent Nuclear Models.Chengdu:Sichuan University Press,1989.175(in Chinese)(廖继志.近代原子核模型.成都:四川大学出版社,1989.175)14. Guhr T,Mller-Groeling A,Weidenmller H A.Phys.Rep.,1998,299:288—28915. Ormand W E,Broglia R A.Phys.Rev.,1992,C46(5):1710—171416. Mehta M L.Random Matrices.2nd ed.New York:Academic Press,1991:1417. Mehta M L.Random Matrices.2nd ed.NewY ork:Academic Press,1991:1518. Bohigas O,Giannoni M J,Schmit.Phys.Rev.Lett.,1984,C52(1):1—419. Mehta M L.Random Matrices.2nd ed.New York:Academic Press,1991:31920. Dyson F J,Mehta M L.J.Math.Phys.,1963,4(5):701—70521. Mehta M L.Random Matrices.2nd ed.New York:Academic Press,1991:52422. Kruppa A T,Pál K F.Phys.Rev.,1995,C52(4):1818—182623. Ring Peter,Schuck Peter.The Nuclear Many-Body Problem.Berlin:Springer-Verlag Press,1980:108
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CHENG Nan-Pu, ZHENG Ren-Rong and ZHU Shun-Quan. Quasiparticles Plus Rotor Model and the Analysisof Level Statistics of Odd-Odd Nucleus[J]. Chinese Physics C, 2001, 25(8): 736-742.
CHENG Nan-Pu, ZHENG Ren-Rong and ZHU Shun-Quan. Quasiparticles Plus Rotor Model and the Analysisof Level Statistics of Odd-Odd Nucleus[J]. Chinese Physics C, 2001, 25(8): 736-742. shu
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Received: 2000-07-19
Revised: 1900-01-01
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Quasiparticles Plus Rotor Model and the Analysisof Level Statistics of Odd-Odd Nucleus

    Corresponding author: CHENG Nan-Pu,
  • Department of Physics, Shanghai Teachers University, Shanghai 200234, China2 Department of Physics, Southwest Normal University, Chongqing 400715, China

Abstract: The energy levels of odd-odd nucleus 84Y at low spins were calculated by using the axially symmetric particles plus rotor model. In order to study the statistical properties of the energy levels, the two standard tests of Random-Matrix Theory such as the nearest-neighbor level spacings and the spectral rigidity were adopted. It is shown that the chaotic degree of the energy levels initially increases with increasing spin and reaches a maximum around I=10, and then decreases for spins above I≈10. On the other hand, the proton-neutron interaction makes the energy levels slightly regular/ordered. However, the Coriolis force which makes the energy levels chaotic plays a major role in the spectral structure of the odd-odd nucleus 84Y.

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