Semiclassical origin of anomalous shell effect for tetrahedral deformation in radial power-law potential model

Abstract

Shell structures in single-particle energy spectra are investigated against regular tetrahedral type deformation using radial power-law potential model. Employing a natural way of shape parametrization which interpolates sphere and regular tetrahedron, we find prominent shell effects at rather large tetrahedral deformations, which bring about shell energies much larger than the cases of spherical and quadrupole type shapes. We discuss the semiclassical origin of these anomalous shell structures using periodic orbit theory.

Published version, 10 pages, 9 figures

References in corpus (3)

• Normal forms and uniform approximations for bridge orbit bifurcations
• Anomalous shell effect in the transition from a circular to a triangular billiard
• Efficient Method for Quantum Number Projection and Its Application to Tetrahedral Nuclear States

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• Semiclassical origin of nuclear ground-state octupole deformations
• Octupole deformation of nuclei near the spherical closed-shell configurations
• Periodic orbit bifurcations and local symmetry restorations in exotic-shape nuclear mean fields
• Mass Probe of Tetrahedral Symmetry in Atomic Nuclei