Nearest Neighbour Level Spacing and Level Curvature Distributions of Single-Particle in Heavy Nuclei

Gu Jianzhong; Wu Xizhen; Zhao Enguang; Zhuo Yizhong

Chinese Physics C> 1997, Vol. 21> Issue(6) : 535-540

Nearest Neighbour Level Spacing and Level Curvature Distributions of Single-Particle in Heavy Nuclei

China Institute of Atomic Energy,Beijing 1024132 Institute of Theoretical Physics,The Chinese Academy of Sciences,Beijing 100080

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Abstract：
The underlying Hamiltonian involved with the rotating two-center shell model is multi-parameter dependent and belongs to the Gaussian unitry ensemble(GUE).It is found that the spacing distribution and two curvature distributions(with respect to the separation and the cranked frequency,respectively)of the levels individually approach to those of GUE in the different regions of separation and cranked frequency.They,however,share a common parameter region.It is suggested that the chaotic motion of the single-particle in a heavy nucleus is possibly realized in the condition of superdeformation and high spin.

References

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徐躬耦，量于混沌运动，上海科学技术出版社，1995.[2]T.A.Brody,J.Flores,J.B.French et al,Rev.Mod,Phys,53（1981）385.[3]F.Haake,Quantum Signatures of Chaos（Springer-Verlag,1991）.[4]M.L.Mehta,Random Matrices（Academic,New York,1991）,2nd ed.[5]P.Pechukas,Phys.Rev.Lett.,51（1983）943[6]Ya.G.Sinai,Sov.math.Dokl.,4（1963）1818.[7]W.D.Heiss,R.G.Nazmitdinov,S.Radu,Phys.Rev.52C（1995）1179.[8]M.Fass,B.D.Simons,X.Zotos et al,phys.Rev.48B（1993）5439.[9]S.Fishman,D.R.Grempel,R.E.Prange,Phys.Rev.Lett.,49（1982）509.[10]O.Bohigas.M.L.Giannoni,C.Schmit,Phys.Rev.Lett.,52（1984）1.[11]J.A.Maruhn,,W.Greiner,Z.Phys.,251（1972）431.[12]Xi-Zhen Wu,J.A.Maruhn.,W.Greiner,Z.phys,A334（1989）207.[13]B.Milek,W.Norenberg,P.Rozmej,z.Phys.,A334（1989）233.

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Gu Jianzhong, Wu Xizhen, Zhao Enguang and Zhuo Yizhong. Nearest Neighbour Level Spacing and Level Curvature Distributions of Single-Particle in Heavy Nuclei[J]. Chinese Physics C, 1997, 21(6): 535-540.

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Nearest Neighbour Level Spacing and Level Curvature Distributions of Single-Particle in Heavy Nuclei

Corresponding author: Gu Jianzhong,

China Institute of Atomic Energy,Beijing 1024132 Institute of Theoretical Physics,The Chinese Academy of Sciences,Beijing 100080

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1997-06-05

Abstract: The underlying Hamiltonian involved with the rotating two-center shell model is multi-parameter dependent and belongs to the Gaussian unitry ensemble(GUE).It is found that the spacing distribution and two curvature distributions(with respect to the separation and the cranked frequency,respectively)of the levels individually approach to those of GUE in the different regions of separation and cranked frequency.They,however,share a common parameter region.It is suggested that the chaotic motion of the single-particle in a heavy nucleus is possibly realized in the condition of superdeformation and high spin.