Nuclear shell structures in terms of classical periodic orbits

Abstract

Semiclassical periodic-orbit theory (POT) is applied to the physics of nuclear structures, with the use of a realistic nuclear mean-field model given by the radial power-law potential. Evolution of deformed shell structures, which are responsible for various nuclear deformations, are clearly understood from the contribution of short classical periodic orbits (POs). Bifurcations of short POs, which imply underlying local dynamical symmetry, play significant role there. The effect of the spin degree of freedom is also investigated in relevance to the pseudospin symmetry in spherical nuclei and the prolate-oblate asymmetry in shell structures of nuclei with quadrupole-type deformations.

Published version, 26 pages, 33 figures

References in corpus (3)

• A further look at prolate dominance in nuclear deformation
• 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

Cited by in corpus (7)

• Microscopic derivation of the Bohr-Mottelson collective Hamiltonian and its application to quadrupole shape dynamics
• Nascent fragment shell effects on the nuclear fission processes in semiclassical periodic orbit theory
• Semiclassical catastrophe theory of simple bifurcations
• 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
• Classical periodic orbits in extended phase space for spherical harmonic oscillator with spin-orbit coupling