Magner, A. G. and Fedotkin, S. N. and Arita, K. and Matsuyanagi, K. and Brack, Matthias (2001) Periodic-orbit bifurcations and superdeformed shell structure. PHYSICAL REVIEW E, 63 (6): 065201. ISSN 1539-3755
Full text not available from this repository.Abstract
We have derived a semiclassical trace formula for the level density of the three-dimensional spheroidal cavity. To overcome the divergences occurring at bifurcations and in the spherical limit, the trace integrals over the action-angle variables were performed using an improved stationary phase method. The resulting semiclassical level density oscillations and shell-correction energies are in good agreement with quantum-mechanical results. We find that the bifurcations of some dominant short periodic orbits lead to an enhancement of the shell structure for "superdeformed" shapes related to those known from atomic nuclei.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SEMICLASSICAL TRACE FORMULAS; NEAR-INTEGRABLE SYSTEMS; UNIFORM APPROXIMATION; SYMMETRY-BREAKING; DEFORMED-NUCLEI; RESONANCES; BILLIARD; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Matthias Brack |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 25 Jan 2022 07:48 |
| Last Modified: | 25 Jan 2022 07:48 |
| URI: | https://pred.uni-regensburg.de/id/eprint/41413 |
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