Skip to main content
Log in

Statistical properties of quantum spectra in nuclei

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

Some aspects of quantum chaos in a finite system have been studied based on the analysis of statistical behavior of quantum spectra in nuclei. The experiment data show the transition from order to chaos with increasing excitation energy in spherical nuclei. The dependence of the order to chaos transition on nuclear deformation and nuclear rotating is described. The influence of pairing effect on the order to chaos transition is also discussed. Some important experiment phenomena in nuclear physics have been understood from the point of view of the interplay between order and chaos.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Wu Xizhen, Sakata, F., Zhuo Yizhong et al., Dynamic realization of statistical state in finite systems, Phys. Rev. C, 1996, 53: 1233–1244.

    Article  Google Scholar 

  2. Weidenmüller, H. A., Statistical theory of nuclear reactions and the Gaussian Othogonal Ensemble, Annals of Physics, 1984, 158: 120–141.

    Article  MathSciNet  Google Scholar 

  3. Hag, R. U., Pandey, A., Bohigas, O., Fluctuation properties of nuclear energy levels: Do theory and experiment agree? Phys. Rev. Lett., 1982, 48: 1086–1089.

    Article  Google Scholar 

  4. Wu Xien, Gu Jianzhong, Iwamoto, A., Statistical properties of quasiparticle spectra in deformed nuclei, Phys. Rev. C, 1999, 59: 215–220.

    Article  Google Scholar 

  5. Garrett, J. D., Robinson, J. Q., Foglia, A. J., et al., Nuclear level repulsion and order vs chaos, Phys. Lett. B, 1997, 392: 24–29.

    Article  Google Scholar 

  6. Bohigas, O., Hag, R. U., Pandy, A., Fluctuation properties of nuclear energy levels and widths comparison of theory with experiment, in Nuclear Data for Science and Technology (ed. Bockhoff, K. H.), Dordrecht: Reidel, 1983, 809–813.

    Google Scholar 

  7. Heiss, W. D., Nazmitdinov, R. G., Radu, S., Chaos in axially symmetric potentials with Octupole deformation, Phys. Rev. Lett., 1994, 72: 2351–2354.

    Article  Google Scholar 

  8. Wu Xizhen, Gu Jianzhong, Zhuo Yizhong et al., Possible understanding of hyperdeformed144-146 Ba nuclei appearing in the spontaneous fission of252 Cf, Phys. Rev. Lett., 1997, 79: 4542–4545.

    Article  Google Scholar 

  9. Ter-Akopian, G. M., Hamilton, J. H., Oganessian, Y. T. et al., New spontaneous fission mode for {252}Cf: Indication of hyperdeformed144.145.146Ba at scission, Phys. Rev. Lett., 1996, 77: 32–35.

    Article  Google Scholar 

  10. Adamian, G. G., Antonenko, N. V., Ivanova, S. P. et al., Problems in description of fusion of heavy nuclei in the twocenter shell model approach, Nucl. Phys. A, 1999, 646: 29–52.

    Article  Google Scholar 

  11. Hofmann, H., A quantal transport theory for nuclear collective motion: the metrits of a locally harmonic approximation method, Phys. Rep., 1997, 284: 139–380.

    Article  Google Scholar 

  12. Gu Jianzhong, Wu Xizhen, Zhuo Yizhong, Quantum chaotic motion of a single particle in heavy nuclei, Nucl. Phys. A, 1997, 625: 621–632.

    Article  Google Scholar 

  13. Gu Jianzhong, Wu Xizhen, Zhuo Yizhong, The single-particle spectrum and its spacing and curvature distributions in rotating heavy nuclei, Nucl. Phys. A, 1996, 611: 315–331.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xizhen Wu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wu, X., Li, Z., Zhang, Y. et al. Statistical properties of quantum spectra in nuclei. Sci. China Ser. A-Math. 44, 923–931 (2001). https://doi.org/10.1007/BF02880142

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02880142

Keywords

Navigation