Abstract
Manifestations of pronounced shell effects are discovered when non-axial octupole deformations are added to a harmonic oscillator model. The degeneracies of the quantum spectra are in good agreement with the corresponding main periodic orbits and winding number ratios which are found by classical analysis.
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S. Åberg, H. Flocard and W. Nazarewicz, Annu. Rev. Nucl. Part. Sci. 40, 439 (1990).
S. M. Reiman et al., Phys. Rev. B 56, 12147 (1997).
P. A. Butler and W. Nazarewicz, Rev. Mod. Phys. 68, 349 (1996).
S. Frauendorf and V. V. Pashkevich, Ann. Physik (Berlin) 5, 34 (1996); B. Montag et al., Phys. Rev. B 52, 4775 (1995); H. Hakkinen et al., Phys. Rev. Lett. 78, 1034 (1997).
M. C. Gutzwiller, J. Math. Phys. 12, 343 (1971); R. Balian and C. Bloch, Ann. Phys. (N.Y.) 69, 76 (1972); V. M. Strutinsky et al., Z. Phys. F 283, 269 (1977).
A. Bohr and B. Mottelson, Nuclear Structure, Vol. 2, Benjamin, New York, 1975.
For a recent survey see M. Brack and R. K. Bhaduri, Semiclassical Physics, Addison and Wesley, Reading, Mass., 1997.
W. D. Heiss, R. G. Nazmitdinov, and S. Radu, Phys. Rev. Lett. 72, 2351 (1994); Phys. Rev. B 51, 1874 (1994); Phys. Rev. C 52, 3032 (1995).
K. Arita and K. Matsuyanagi, Prog. Theor. Phys. 91, 723 (1994); Nucl. Phys. F 592, 9 (1995).
S. C. Creagh, Ann. Phys. (N.Y.) 248, 60 (1996).
W. D. Heiss and R. G. Nazmitdinov, Physica D 118, 134 (1998).
M. C. Gutzwiller, Chaos and Classical and Quantum Mechanics, Springer, New York, 1990.
B. R. Mottelson, Proceedings of the Conference on High-Spin Nuclear Structure and Novel Nuclear Shapes, Argonne, Ill., 13–15 April 1998, Argonne National Laboratory Annual Report ANL-PHY-88-2 (1988), p. 1.
R. R. Chasman, Phys. Lett. B 266, 243 (1991).
J. Skalski, Phys. Lett. B 274, 1 (1992).
I. Hamamoto et al., Z. Phys. D 21, 163 (1991); F. Frisk et al., Phys. Scr. 50, 628 (1994).
J. K. Hwang et al., Phys. Rev. C 56, 1344 (1997); G. J. Lane et al., Phys. Rev. C 57, R1022 (1998); J. F. Smith et al., Phys. Rev. C 57, R1037 (1998).
A. Rytkönen, H. Häkkinen, and M. Manninen, Phys. Rev. Lett. 80, 3940 (1998).
A. J. Lichtenberg and M. A. Lieberman, Regular and Stochastic Motion, Springer, New York, 1983.
R. S. Dumont and P. Brumer, J. Chem. Phys. 88, 1481 (1988).
K. P. Blume et al., Nucl. Phys. 464, 445 (1987); J. N. Mo et al., Nucl. Phys. F 472, 295 (1987); W. Schmitz et al., Nucl. Phys. F 539, 112 (1992); H. Schack-Peterson et al., Nucl. Phys. F 594, 175 (1995).
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Pis’ma Zh. Éksp. Teor. Fiz. 69, No. 8, 525–530 (25 April 1999)
Published in English in the original Russian journal. Edited by Steve Torstveit.