Multiharmonic nuclear Hamiltonian

Abstract

The present study successfully extends the independent-particle shell model by employing a multiharmonic oscillator potential for nuclei from 16O to 208Pb. Specifically, this study assumes a separate and different central potential for the nucleons of each shell, instead of a common central potential for all nucleons in a nucleus as is usually assumed by the conventional shell model. The present extension of the shell model leads to a simultaneous direct treatment of ground-state radii and binding energies for a sample of nuclei, i.e., 16O,28Si, 36Ar, 40Ar, 40Ca, 56Fe, 58Ni, 90Ni, 90Zr, 104Pd, 110Pd, 120Sn, 126Te,136Ba, 138Ba, 142Nd, 202Hg, and 208Pb.