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Prog. Theor. Phys. Vol. 100 No. 3 (1998) pp. 597-605
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
References:
- S. Åberg, H. Flocard and W. Nazarewicz, Ann. Rev. Nucl. Part. Sci. 40 (1990), 439.
-
P. A. Butler and W. Nazarewicz, Rev. Mod. Phys. 68 (1996), 349[APS].
- M. Brack and R. K. Bhaduri, Semiclassical Physics (Addison-Wesley, Reading, 1997).
- I. Hamamoto, B. Mottelson, H. Xie and X. Z. Zhang, Z. Phys. D21 (1991), 163.
- S. Frauendorf and V. V. Pashkevich, Ann. der Phys. 5 (1996), 34.
-
W. D. Heiss, R. G. Nazmitdinov and S. Radu, Phys. Rev. B51 (1995-I), 1874[APS].
-
M. C. Gutzwiller, J. Math. Phys. 12 (1971), 343[CrossRef].
-
R. Balian and C. Bloch, Ann. of Phys. 69 (1972), 76[CrossRef].
- V. M. Strutinsky, A. G. Magner, S. R. Ofengenden and T. Døssing, Z. Phys. A283 (1977), 269.
- H. Frisk, Nucl. Phys. A511 (1990), 309.
- K. Arita, Phys. Lett. B336 (1994), 279.
- K. Arita and K. Matsuyanagi, Nucl. Phys. A592 (1995), 9.
- 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.
- A. Bohr and B. R. Mottelson, Nuclear Structure (Benjamin, 1975), Vol. 2.
-
M. Brack, J. Damgaard, A. S. Jensen, H. C. Pauli, V. M. Strutinsky and C. Y. Wong, Rev. Mod. Phys. 44 (1972), 320[APS].
- 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.
- T. Mukhopadhyay and S. Pal, Nucl. Phys. A592 (1995), 291.
-
M. V. Berry and M. Robnik, J. of Phys. A19 (1986), 649[IoP STACKS].
- M. V. Berry and M. Wilkinson, Proc. R. Soc. London A392 (1984), 15.
-
B. Li and M. Robnik, J. of Phys. A27 (1994), 5509[IoP STACKS].
-
S. A. Moszkowski, Phys. Rev. 99 (1955), 803[APS].
- J. Blocki, J. Skalski and W. J. Swiatecki, Nucl. Phys. A594 (1995), 137.
- A. Sugita, K. Arita and K. Matsuyanagi, in preparation.
-
D. Provost, Phys. Rev. E51 (1995), 5396[APS].
-
M. Brack, S. Reimann and M. Sieber, Phys. Rev. Lett. 79 (1997), 1817[APS].
Citing Article(s) :
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Progress of Theoretical Physics Vol. 100 No. 6 (1998) pp. 1223-1238
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Semiclassical Origin of Superdeformed Shell Structure in the Spheroidal Cavity Model
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Ken-ichiro Arita, Ayumu Sugita and Kenichi Matsuyanagi
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Progress of Theoretical Physics Vol. 102 No. 3 (1999) pp. 551-598
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Symmetry Breaking and Bifurcations in the Periodic Orbit Theory. I
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Alexander G. Magner, Sergey N. Fedotkin, Ken-ichiro Arita, Toshiyuki Misu, Kenichi Matsuyanagi, Thomas Schachner and Matthias Brack
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Progress of Theoretical Physics Vol. 108 No. 5 (2002) pp. 853-901
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Symmetry Breaking and Bifurcations in the Periodic Orbit Theory. II
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Alexander G. Magner, Ken-ichiro Arita, Sergey N. Fedotkin and Kenichi Matsuyanagi