New Shell Structure Originated from the Combination of Quadrupole and Octupole Deformations

Abstract

Semiclassical analysis of the shell structure for a reflection-asymmetric deformed oscillator potential with irrational frequency ratio ${\omega }_{\perp }/{\omega }_z=\sqrt{3}$ is presented. Strong shell effects associated with bifurcations of short periodic orbits are found, which occur for a combination of quadrupole and octupole deformations.

Comments: LATeX, 7 pages, or 12 pages with epsf.sty. Postscript figures (Figs.1-4, and part of Figs.5,6). The complete postscript files Fig5.uu (254->464kb when uncompressed) and Fig6.uu (466->1,021kb) are available from the author upon request