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Prog. Theor. Phys. Vol. 100 No. 6 (1998) pp. 1223-1238

[ Full Text PDF : FREE ACCESS (848K) ]

Semiclassical Origin of Superdeformed Shell Structure in the Spheroidal Cavity Model

Ken-ichiro Arita, Ayumu Sugita* and Kenichi Matsuyanagi*

Department of Physics, Nagoya Institute of Technology, Nagoya 466-8555, Japan
*Department of Physics, Graduate School of Science, Kyoto University
Kyoto 606-8502, Japan

(Received September 2, 1998)

Abstract:

Classical periodic orbits responsible for emergence of the superdeformed shell structures of single-particle motion in spheroidal cavities are identified and their relative contributions to the shell structures are evaluated. Both prolate and oblate superdeformations (axis ratio approximately 2:1) as well as prolate hyperdeformation (axis ratio approximately 3:1) are investigated. Fourier transforms of quantum spectra clearly show that three-dimensional periodic orbits born out of bifurcations of planar orbits in the equatorial plane become predominant at large prolate deformations, while butterfly-shaped planar orbits bifurcated from linear orbits along the minor axis are important at large oblate deformations.


URL : http://ptp.ipap.jp/link?PTP/100/1223/
DOI : 10.1143/PTP.100.1223

[ Full Text PDF : FREE ACCESS (848K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 102 No. 3 (1999) pp. 551-598 :
    Symmetry Breaking and Bifurcations in the Periodic Orbit Theory. I
    Alexander G. Magner, Sergey N. Fedotkin, Ken-ichiro Arita, Toshiyuki Misu, Kenichi Matsuyanagi, Thomas Schachner and Matthias Brack
  2. Progress of Theoretical Physics Vol. 108 No. 5 (2002) pp. 853-901 :
    Symmetry Breaking and Bifurcations in the Periodic Orbit Theory. II
    Alexander G. Magner, Ken-ichiro Arita, Sergey N. Fedotkin and Kenichi Matsuyanagi

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