Properties of Finite Nuclei

Abstract

The properties of ${\mathrm{Pb}}^{208}$ have been determined, using the Brueckner-Gammel-Weitzner theory of finite nuclei. Self-consistent solutions of the Hartree-Fock equations as modified by Brueckner and Goldman have been obtained. The properties computed include binding energy, mean proton and neutron radii, separation energies, spin-orbit splittings, nonlocal and state-dependent single-particle potentials, surface depth of density and potentials, and the potential-density relation. Semiquantitative agreement with experiment is obtained, the maximum difference between theory and experiment being of the order of 15%. Revised computations for ${\mathrm{Ca}}^{40}$ are reported to permit comparison between our results (with an improved treatment of the rearrangement energy) and those previously reported by Brueckner, Lockett, and Rotenberg for ${\mathrm{O}}^{16}$, ${\mathrm{Ca}}^{40}$, and ${\mathrm{Zr}}^{90}$.