Nuclidic mass relationships and mass equations (II)

Abstract

Several explicit numerical solutions of generalized nuclidic mass relationships (partial difference equations) have been derived. These solutions are mass equations with about 230 parameters which reproduce more than 1000 experimental masses with N, Z [greater, double equals] 20 with a standard deviation of about 300 keV. The internal consistency of the solutions and other aspects such as the ability to describe the experimental Coulomb displacement energies are explored. The solutions are compared to the transverse and longitudinal mass equations of Garvey and Kelson and the shell-model mass equations of Liran and Zeldes for their reliability to predict masses of very neutron-rich and proton-rich nuclei.