Nuclear properties, such as ground-state energies, rms charge radii, and intrinsic quadrupole moments are calculated, using the Hartree-Fock method, for self-conjugate even-even $s-d$-shell nuclei. The internucleon interaction is a spin-independent $S$-state version of the Skyrme interaction. The density dependence of the $G$ matrix is simulated by a three-body repulsive $\delta$ interaction. The connection between the latter and a density-dependent two-body $\delta$ interaction is discussed in the Appendix.

Our results for binding energies and rms radii agree much better with experimental values than earlier calculations done by one of us (S.J.K.) using a different, density-independent, interaction. We also obtain generally better results for binding energies than the results of Zofka and Ripka and of Lassey and Volkov, and comparable results for rms radii.

• Received 2 December 1971

DOI:https://doi.org/10.1103/PhysRevC.5.1990