Bifurcation of Periodic Orbit as Semiclassical Origin of Superdeformed Shell Structure
Abstract
Classical periodic orbits responsible for emergence of the superdeformed shell structure of single-particle motion in spheroidal cavities are identified and their relative contributions to the shell structure are evaluated. 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. A new semiclassical method capable of describing the shell structure formation associated with these bifurcations is briefly discussed.
- Publication:
-
Physica Scripta Volume T
- Pub Date:
- 2001
- DOI:
- 10.1238/Physica.Topical.090a00142
- Bibcode:
- 2001PhST...90..142M
- Keywords:
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- 21.60.-n