The moderate strength and smoothness of two-body forces for interparticle distances $r\ge 1$ fm implies that the Hartree-Fock (HF) wave functions are accurate for those separations. The nearly constant density of nuclei inside a surface region of 1-fm thickness implies that even in as light a nucleus as oxygen the nuclear-matter Bethe-Goldstone (BG) wave functions are accurate for most pairs at $r\le 1.5$ fm. The few pairs with c.m. coordinate $R$ in the surface region will be accurately represented on the average only. Accurate BG and oscillator-basis HF calculations using realistic Feshbach-Lomon (FL) interactions show that both wave functions agree well for $1 \mathrm{fm}<r<\mathrm{}1.5\mathrm{} \mathrm{fm}$ as expected. Consequently a configuration-space Jastrow wave function of sufficient accuracy can be constructed. Matrix elements of density and of energy are calculated using the HF functions for $r>\mathrm{}{r}_s$ and the BG functions for $r<\mathrm{}{r}_s$, with $r_s$ chosen anywhere in the region 1-1.5 fm. Values of the off-shell interior boundary condition $b$ of the FL interaction are used which give good nuclear-matter properties and favorable HF results for nuclei from ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ to ${}_{}{}^{48}{}_{}{}^{}\mathrm{Ca}$. The corrections due to the BG correlations result in accurate binding energies and moderately good single-particle energies for ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$, and ${}_{}{}^{48}{}_{}{}^{}\mathrm{Ca}$.

• Received 17 July 1972

DOI:https://doi.org/10.1103/PhysRevC.8.53