Semiempirical Shell Model Masses with Magic Number Z=126 for Translead Elements with N smaller or equal to 126

Abstract

A semiempirical shell model mass equation based on magic number Z=126 and applicable to translead elements with N smaller or equal to 126 is presented. For alpha decay energies the equation is shown to have a high predictive power and an rms deviation from the data of about 100 keV. The rms deviations for masses and other mass differences are between about 200 and 300 keV.