Nuclear masses in the fermion dynamical symmetry model

Abstract

A new microscopic nuclear mass formula is derived from the fermion dynamical symmetry model. A Strutinsky-like spherical single-particle shell correction is introduced, but the principle part of the pairing and deformation are treated microscopically through the pairing and quadrupole-quadrupole two-body interaction, without introducing a deformed mean-field or BCS approximation. The results are in excellent agreement with existing mass data in the actinide region and suggest the possibility of a new region of superheavy elements near Z=114 and N=164. This mass formula has been utilized in the study of r processes in astrophysical problems with encouraging preliminary results.