The effect of gap in n(k, ρ) on the single-particle properties of nucleons and the ground-state binding energy of closed-shell nuclei

The present work evaluates the effect of gap in the density-dependent one-body momentum distribution, n(k, ρ), at the Fermi surface on the calculation of the single-particle properties of nucleons, i.e., the momentum- and density-dependent single-particle potential and the nucleon effective mass, and also on the calculation of the ground-state binding energy of the selected closed-shell nuclei, i.e., ¹⁶O, ⁴⁰Ca, and ⁵⁶Ni. In order to do this, n(k, ρ) is constructed by use of the calculations of the lowest-order constrained variational method for the symmetric nuclear matter with the Av₁₈ potential up to J_max = 2 and 5. It is shown that the gap in n(k, ρ) at the Fermi surface has no significant effect on the calculation of single-particle properties in the case of J_max = 5. In the relevant evaluation of the ground-state binding energy of selected nuclei, it is seen that the binding energy of ¹⁶O, improved by including n(k, ρ), is closer to the experimental data, contrary to ⁴⁰Ca and ⁵⁶Ni. (orig.)