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

  • 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.
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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.
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. shu
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Received: 1900-01-01
Revised: 1900-01-01
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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

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.

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