Periodic-orbit bifurcations and superdeformed shell structure
Journal Article
·
· Physical Review E
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 {open_quotes}superdeformed{close_quotes} shapes related to those known from atomic nuclei.
- Sponsoring Organization:
- (US)
- OSTI ID:
- 40203246
- Journal Information:
- Physical Review E, Journal Name: Physical Review E Journal Issue: 6 Vol. 63; ISSN 1063-651X
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
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