Quick Search:
Author: Title/Abstract: Vol./No: Page:

Prog. Theor. Phys. Vol. 100 No. 3 (1998) pp. 597-605

[ Full Text PDF : FREE ACCESS (414K) ]

Periodic-Orbit Bifurcation and Shell Structure in Reflection-Asymmetric Deformed Cavity

Ayumu Sugita, Ken-ichiro Arita* and Kenichi Matsuyanagi

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

(Received April 24, 1998)

Abstract:

Shell structure of the single-particle spectrum for a reflection-asymmetric deformed cavity is investigated. Clear shell structure emerges for certain combinations of quadrupole and octupole deformations. Semiclassical periodic-orbit analysis indicates that simultaneous bifurcations of short periodic orbits in the equatorial plane play predominant roles in the formation of this new shell structure.


URL : http://ptp.ipap.jp/link?PTP/100/597/
DOI : 10.1143/PTP.100.597

[ Full Text PDF : FREE ACCESS (414K) ] Citation:


References:

  1. S. Åberg, H. Flocard and W. Nazarewicz, Ann. Rev. Nucl. Part. Sci. 40 (1990), 439.
  2. P. A. Butler and W. Nazarewicz, Rev. Mod. Phys. 68 (1996), 349[APS].
  3. M. Brack and R. K. Bhaduri, Semiclassical Physics (Addison-Wesley, Reading, 1997).
  4. I. Hamamoto, B. Mottelson, H. Xie and X. Z. Zhang, Z. Phys. D21 (1991), 163.
  5. S. Frauendorf and V. V. Pashkevich, Ann. der Phys. 5 (1996), 34.
  6. W. D. Heiss, R. G. Nazmitdinov and S. Radu, Phys. Rev. B51 (1995-I), 1874[APS].
  7. M. C. Gutzwiller, J. Math. Phys. 12 (1971), 343[CrossRef].
  8. R. Balian and C. Bloch, Ann. of Phys. 69 (1972), 76[CrossRef].
  9. V. M. Strutinsky, A. G. Magner, S. R. Ofengenden and T. Døssing, Z. Phys. A283 (1977), 269.
  10. H. Frisk, Nucl. Phys. A511 (1990), 309.
  11. K. Arita, Phys. Lett. B336 (1994), 279.
  12. K. Arita and K. Matsuyanagi, Nucl. Phys. A592 (1995), 9.
  13. K. Arita, A. Sugita and K. Matsuyanagi, Proc. Int. Symp. on Similarities and Differences between Nuclei and Clusters, Tsukuba, July 1 – 4, 1997, AIP Conference Proceedings 416, ed. Y. Abe, I. Arai, S. M. Lee and K. Yabana, p. 393.
    Proc. Int. Symp. on Atomic Nuclei and Metallic Clusters: Finite Many-Fermion Systems, Prague, Sep. 1 – 5, 1997, Czech. J. of Phys. 48 (1998), 821.
    Proc. Int. Conf. on Nuclear Structure and Related Topics, Dubna, Sep. 9 – 13, 1997, ed. S. N. Ershov, R. V. Jolos and V. V. Voronov, p. 198.
  14. A. Bohr and B. R. Mottelson, Nuclear Structure (Benjamin, 1975), Vol. 2.
  15. M. Brack, J. Damgaard, A. S. Jensen, H. C. Pauli, V. M. Strutinsky and C. Y. Wong, Rev. Mod. Phys. 44 (1972), 320[APS].
  16. E. J. Heller, in Chaos and quantum systems, Proc. NATO ASI Les Houches Summer School, 1991, ed. M. J. Giannoni, A. Voros and J. Zinn-Justin (North-Holland), p. 547.
  17. T. Mukhopadhyay and S. Pal, Nucl. Phys. A592 (1995), 291.
  18. M. V. Berry and M. Robnik, J. of Phys. A19 (1986), 649[IoP STACKS].
  19. M. V. Berry and M. Wilkinson, Proc. R. Soc. London A392 (1984), 15.
  20. B. Li and M. Robnik, J. of Phys. A27 (1994), 5509[IoP STACKS].
  21. S. A. Moszkowski, Phys. Rev. 99 (1955), 803[APS].
  22. J. Blocki, J. Skalski and W. J. Swiatecki, Nucl. Phys. A594 (1995), 137.
  23. A. Sugita, K. Arita and K. Matsuyanagi, in preparation.
  24. D. Provost, Phys. Rev. E51 (1995), 5396[APS].
  25. M. Brack, S. Reimann and M. Sieber, Phys. Rev. Lett. 79 (1997), 1817[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 100 No. 6 (1998) pp. 1223-1238 :
    Semiclassical Origin of Superdeformed Shell Structure in the Spheroidal Cavity Model
    Ken-ichiro Arita, Ayumu Sugita and Kenichi Matsuyanagi
  2. 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
  3. 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