Periodic Orbits and Deformed Shell Structure

Abstract

Relationship between quantum shell structure and classical periodic orbits is briefly reviewed on the basis of semi-classical trace formula. Using the spheroidal cavity model, it is shown that three-dimensional periodic orbits, which are born out of bifurcation of planar orbits at large prolate deformations, generate the superdeformed shell structure.

Comments: 8 pages including 8 figures, Talk at the Conference on Frontiers of Nuclear Structure, July 29th - August 2nd, 2002, UC Berkeley