Nuclear mass formula with shell energies calculated by a new method

A nuclear mass formula is constructed which is composed of two parts, one d escribing the general trend of the masses as a function of Z and N and the other representing deviations of individual masses from this general trend. These deviations are referred to as shell energies in a broad sense. The s hell energies of spherical nuclei are calculated with use of a spherical si ngle-particle potential. The shell energies of deformed nuclei consist of i ntrinsic shell energies and average deformation energies. The intrinsic she ll energy of a deformed nucleus is calculated from the shell energies of ap propriate spherical nuclei by treating the deformed nucleus as a superposit ion of spherical nuclei. The obtained mass formula is applicable to any nuc leus with Z greater than or equal to 2 and N greater than or equal to 2. Th e root-mean-square deviation from experimentally known masses is 0.68 MeV. (C) 2000 Elsevier Science B.V. All rights reserved.