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Periodic-orbit bifurcation and shell structure at exotic deformation

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Czechoslovak Journal of Physics Aims and scope

Abstract

We have investigated the semiclassical origin of superdeformed shell structure and also of reflection-asymmetric deformed shapes by means of the periodic orbit theory and the deformed cavity model. Systematic analysis of the quantum-classical correspondence reveals that bifurcation of equatorial orbits into three-dimensional ones play predominant role in the formation of these shell structures.

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References

  1. A. Bohr and B.R. Mottelson:Nuclear Structure, Vol. 2, Benjamin, 1975.

  2. S. Åberg, H. Flocard, and W. Nazarewicz: Ann. Rev. Nucl. Part. Sci.40 (1990) 439.

    Article  ADS  Google Scholar 

  3. P.A. Butler and W. Nazarewicz: Rev. Mod. Phys.68 (1996) 349.

    Article  ADS  Google Scholar 

  4. I. Hamamoto, B. Mottelson, H. Xie, and X.Z. Zhang: Z. Phys. D21 (1991) 163.

    Article  ADS  Google Scholar 

  5. S. Frauendorf and V.V. Pashkevich: Ann. Physik5 (1996) 34.

    Google Scholar 

  6. W.D. Heiss, R.G. Nazmitdinov, and S. Radu: Phys. Rev. B51 (1995) 1874.

    Article  ADS  Google Scholar 

  7. M.C. Gutzwiller: J. Math. Phys.12 (1971) 343.

    Article  ADS  Google Scholar 

  8. R. Balian and C. Bloch: Ann. Phys.69 (1972) 76.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  9. M.V. Berry and M. Tabor: Proc. R. Soc. London A349 (1976) 101.

    Article  ADS  MathSciNet  Google Scholar 

  10. V.M. Strutinsky, A.G. Magner, S.R. Ofengenden, and T. Døssing: Z. Phys. A283 (1977) 269.

    Article  Google Scholar 

  11. M. Brack and R.K. Bhaduri:Semiclassical Physics, Addison-Wesley, Reading, 1997.

    Google Scholar 

  12. H. Frisk: Nucl. Phys. A511 (1990) 309.

    Article  ADS  MathSciNet  Google Scholar 

  13. A. Sugita, K. Arita, and K. Matsuyanagi: Preprint KUNS1431 (1997) and to be published.

  14. M. Baranger, K.T.R. Davies, and J.H. Mahoney: Ann. Phys.186 (1988) 95.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  15. H. Nishioka, M. Ohta, and S. Okai: Mem. Konan Univ., Sci. Ser.38(2) (1991) 1.

    MATH  Google Scholar 

  16. H. Nishioka, N. Nitanda, M. Ohta, and S. Okai: Mem. Konan Univ., Sci. Ser.39(2) (1992) 67.

    MATH  Google Scholar 

  17. K. Arita and K. Matsuyanagi: Nucl. Phys. A592 (1995) 9.

    Article  ADS  Google Scholar 

  18. K. Arita, A. Sugita, and K. Matsuyanagi: (to be published).

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Authors and Affiliations

  1. Department of Physics, Nagoya Institute of Technology, 466, Nagoya, Japan

    Ken-Ichiro Arita

  2. Department of Physics, Graduate School of Science, Kyoto University, 606-01, Kyoto, Japan

    Ayumu Sugita & Kenichi Matsuyanagi

Authors
  1. Ken-Ichiro Arita
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  2. Ayumu Sugita
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  3. Kenichi Matsuyanagi
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Arita, KI., Sugita, A. & Matsuyanagi, K. Periodic-orbit bifurcation and shell structure at exotic deformation. Czech J Phys 48, 821–829 (1998). https://doi.org/10.1023/A:1021447318691

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  • DOI: https://doi.org/10.1023/A:1021447318691

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