Employing the unitary-model approach of Shakin, Waghmare, Tomaselli, and Hull, and a modified version of the Yale potential, adjusted to yield a lower percentage of the "$D$" state in the deuteron ground state without affecting the other two-nucleon quantities calculable from the Yale potential, the ground-state properties of the even-even $N=Z$ nuclei are calculated for the $2s-1d$ shell by using the Hartree-Fock self-consistent approach. The healing distance for the relative ${}_{}{}^3{}_{}{}^{}S_1^{}{}_{}{}^{}$ state is not used as a parameter since healing is "naturally" achieved for this state. Using the same values of the oscillator and level-shift parameters, the modified Yale interaction with its reduced tensor force component yields binding energies, single-particle energies, rms radii, and deformations which are generally closer to the experimental values than those reported for the Yale potential.

[NUCLEAR STRUCTURE ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{20}{}_{}{}^{}\mathrm{Ne}$, ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$, ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$, ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}$, ${}_{}{}^{36}{}_{}{}^{}\mathrm{A}$, ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$; calculated single-particle energies, ground-state energies, rms radii, and ground-state deformations. Hartree-Fock method. Modified Yale interaction.]

• Received 19 November 1973

DOI:https://doi.org/10.1103/PhysRevC.9.2261