Spectral Statistics in Particles-Rotor Model and Cranking Model

ZHOU Xian-Rong; GUO Lu; MENG Jie; ZHAO En-Guang

Chinese Physics C> 2002, Vol. 26> Issue(11) : 1125-1133

Spectral Statistics in Particles-Rotor Model and Cranking Model

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

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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 (i_13/2) is replaced by two j shell (g_7/2+d_5/2),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(i_13/2) to two j shell (i_13/2+g_9/2). Nuclear chaotic behavior is studied when we take a two body interaction as delta force and pairing interaction,respectively.

References

[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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[10]	Chen Xingqu , Xing Zheng . THE ANALYSIS OF SUPERDEFORMED BANDS IN THE PARTICLE-ROTOR MODEL. Chinese Physics C, 1994, 18(5): 448-453.
[11]	MIAO Rong-Zhi . A STUDY OF PRE-EQUILIBRIUM EMISSION INVOLVING COMPLEX PROJECTILE AND EMITTED PARTICLE IN MEMORY MODEL. Chinese Physics C, 1989, 13(11): 1039-1048.
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[13]	PENG Jian-Ping , WU Chong-Shi , ZENG Jin-Yan . ON THE VALIDITY OF THE CHFB METHOD FOR TREATING THE CSM HAMILTONIAN. Chinese Physics C, 1989, 13(4): 362-369.
[14]	LIN Chun-Zhen , WU Chong-Shi , ZENG Jin-Yan . SENIORITY AND K-STRUCTURE OF THE CARNKED SHELL MODEL WAVE FUNCTION (Ⅰ) EVEN-EVEN NUCLEI. Chinese Physics C, 1988, 12(5): 689-696.
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[16]	CHENG Tan-Sheng , WU Chong-Shi , ZENG Jin-Yan . PARTICLE-NUMBER-CONSERVING APPROACH FOR TREATING CRANKING HAMILTONIAN. Chinese Physics C, 1988, 12(4): 534-540.
[17]	MIAO Rong-Zhi , WU Guo-Hua . A STUDY OF COMPLEX PARTICLE EMISSION IN THE PRE-EQUILIBRIUM STATISTICAL MODEL. Chinese Physics C, 1986, 10(1): 82-91.
[18]	MIAO Rong-Zhi , WU Guo-Hua , ZHENG Wei-Han , LIU Jian-Ye , YU Chao-Fan , YU Xian . STATISTICAL CHARACTERISTIC OF THE INITIAL EXCITON NUMBER n₀ AND IT'S INFLUENCE ON THE RESULTS IN THE EXCITON MODEL. Chinese Physics C, 1984, 8(6): 740-747.
[19]	LI QING-RUN , CHEN SHENG-ZHONG , ZHAO EN-GUANG . ELASTIC π^--¹²C SCATTERING IN THE α-PARTICLE MODEL. Chinese Physics C, 1981, 5(6): 641-647.
[20]	WANG CHENG-CHIH . ON MESON RATIOS IN MULTIPARTICLE PRODUCTION AT HIGH ENERGY——A STATISTICAL QUARK MODEL. Chinese Physics C, 1979, 3(1): 122-126.

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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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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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

Received Date: 2001-11-26

Accepted Date: 1900-01-01

Available Online: 2002-11-05

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 (i_13/2) is replaced by two j shell (g_7/2+d_5/2),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(i_13/2) to two j shell (i_13/2+g_9/2). Nuclear chaotic behavior is studied when we take a two body interaction as delta force and pairing interaction,respectively.

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Spectral Statistics in Particles-Rotor Model and Cranking Model

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