Periodic-Orbit Bifurcations and Superdeformed Shell Structure

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dc.creatorMagner, A. G.
dc.creatorFedotkin, S. N.
dc.creatorArita, K.
dc.creatorMatsuyanagi, K.
dc.creatorBrack, M.
dc.date2001-01-19
dc.date2001-01-22
dc.date.accessioned2026-07-07T12:16:58Z
dc.date.available2026-07-07T12:16:58Z
dc.descriptionWe 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.
dc.description4 pages including 3 figures
dc.identifierhttps://arxiv.org/abs/nlin/0101035
dc.identifierhttp://arxiv.org/abs/nlin/0101035
dc.identifierPhys.Rev.E63:065201,2001
dc.identifierdoi:10.1103/PhysRevE.63.065201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211976
dc.subjectExactly Solvable and Integrable Systems
dc.subjectNuclear Theory
dc.titlePeriodic-Orbit Bifurcations and Superdeformed Shell Structure
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