Abundance and systematics of nuclear superdeformed states; relation to the pseudospin and pseudo-SU(3) symmetries

Abstract

Results of a multidimensional (${\ensuremath{\beta}}_{2}$, \ensuremath{\gamma}, ${\ensuremath{\beta}}_{4}$, \ensuremath{\omega}, Z, and N) search for nuclear superdeformed configurations are presented. Calculations based on a realistic deformed average field give a relatively strong dependence of the ``super'' elongation on the particle number. This dependence is shown to be a cyclic function of the particle number. It originates from the pseudospin and pseudo-SU(3) symmetries which are obeyed approximately in a realistic average field.