Spectral Statistics in Particles-Rotor Model and Cranking Model

  • Spectral statistics for six particles in single j and two j model coupled with a deformed core are studied in the frames of particles rotor model and cranking shell model. The nearest neighbor distribution of energy levels and spectral rigidity are studied as a function of the spin or cranking frequency, respectively. The results of single j shell are compared with those in two j case. The system becomes more regular when single j space (i13/2) is replaced by two j shell (g7/2+d5/2),although the basis size of the configuration space is unchanged. However,the degree of chaoticity of the system changes slightly when configuration space is enlarged by extending single j shell(i13/2) to two j shell (i13/2+g9/2). Nuclear chaotic behavior is studied when we take a two body interaction as delta force and pairing interaction,respectively.
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  • [1] . Haake F .Quantum signature of chaos.Berlin,Heidelberg,New York:Springer,19912. Klein A .Phys.Rev.,2001,C62:0143163. Ray I,Banerjee P ,Bhattacharya S et al.Nucl.Phys.,1999,A646:141 4. Frauendorf S ,Meng J.Z .Phys.,1996,A356:2635. Kruppa A T ,pal K F ,Rowley N .Phys.Rev.,1995,C52:1818 6. Hamamoto I.Nucl.Phys.,1976,A271:15;Bengtsson R ,Hakansson H .Nucl.Phys.,1981,A357:61 7. GUO Lu,ZHOU XianRong,MENG Jie et al.Commun.Theor.Phys.,to be published 8. LI Jun-Qing,ZHU Jie-Ding,GU Jin-Nan.Phys.Rev.,1995,B52:64589. Berry M V ,Robnik M .J.Phys.,1984,A17:241310. Brody T A ,Flores J,French J B et al.Rev.Mod.Phys.,1981,53:38511. Bohigas O ,Giannoni M J,Schmit C .Phys.Rev.Lett.,1984,52:1 12. Aberg S .Phys.Rev.Lett.,1990,64:3119;Prog.Part.Nucl.Phys.,1992,28:11 13. Matsuo M ,Dossing T ,Vigezzi E et al.Phys.Rev.Lett.,1993,70:2694
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ZHOU Xian-Rong, GUO Lu, MENG Jie and ZHAO En-Guang. Spectral Statistics in Particles-Rotor Model and Cranking Model[J]. Chinese Physics C, 2002, 26(11): 1125-1133.
ZHOU Xian-Rong, GUO Lu, MENG Jie and ZHAO En-Guang. Spectral Statistics in Particles-Rotor Model and Cranking Model[J]. Chinese Physics C, 2002, 26(11): 1125-1133. shu
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Received: 2001-11-26
Revised: 1900-01-01
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Spectral Statistics in Particles-Rotor Model and Cranking Model

    Corresponding author: ZHOU Xian-Rong,
  • Center of Theoretical Physics,National Laboratory of Heavy Ion Accelerator,Lanzhou 730000,China2 Institute of Theoretical Physics,Academia Sinica,Beijing 100080,China3 Department of Technical Physics,Peking University,Beijing 100871,China4 Department of Physics,Tsinghua University,Beijing 100084,China

Abstract: Spectral statistics for six particles in single j and two j model coupled with a deformed core are studied in the frames of particles rotor model and cranking shell model. The nearest neighbor distribution of energy levels and spectral rigidity are studied as a function of the spin or cranking frequency, respectively. The results of single j shell are compared with those in two j case. The system becomes more regular when single j space (i13/2) is replaced by two j shell (g7/2+d5/2),although the basis size of the configuration space is unchanged. However,the degree of chaoticity of the system changes slightly when configuration space is enlarged by extending single j shell(i13/2) to two j shell (i13/2+g9/2). Nuclear chaotic behavior is studied when we take a two body interaction as delta force and pairing interaction,respectively.

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