Semiclassical Origin of Superdeformed Shell Structure in the Spheroidal Cavity Model | Zendy

Ken-ichiro Arita | Zendy; Ayumu Sugita | Zendy; K. Matsuyanagi | Zendy

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Semiclassical Origin of Superdeformed Shell Structure in the Spheroidal Cavity Model

Author(s) -

Ken-ichiro Arita,

Ayumu Sugita,

K. Matsuyanagi

Publication year - 1998

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.100.1223

Subject(s) - physics , semiclassical physics , oblate spheroid , prolate spheroid , shell (structure) , planar , plane (geometry) , classical mechanics , quantum , geometry , quantum mechanics , materials science , computer graphics (images) , mathematics , computer science , composite material

Classical periodic orbits responsible for emergence of the superdeformedshell structures for single-particle motions in spheroidal cavities areidentified and their relative contributions to the shell structures areevaluated. Both prolate and oblate superdeformations (axis ratio about 2:1) aswell as prolate hyperdeformation (axis ratio about 3:1) are investigated.Fourier transforms of quantum spectra clearly show that three-dimensionalperiodic orbits born out of bifurcations of planar orbits in the equatorialplane become predominant at large prolate deformations, while butterfly-shapedplanar orbits bifurcated from linear orbits along the minor axis are importantat large oblate deformations.Comment: 18 pages including 21 PS figures, REVTeX with epsf.st

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