Study of the Hartree-Fock-Model Predictions for Static and Dynamic Properties ofNe20,Mg24,Si28, andS32

Abstract

The deformed Hartree-Fock method is tested for the first time in a comprehensive manner by investigating a wide range of static and dynamic nuclear properties for certain light nuclei. Intrinsic spectra are obtained for the nuclei ${}_{}{}^{20}{}_{}{}^{}\mathrm{Ne}$, ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$, ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$, and ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}$; in addition, energy-level spectra, nuclear radii, electromagnetic transition rates, electron scattering form factors, inelastic $0^{+}\to 2^{+}$ proton scattering cross sections, and excited-state quadrupole moments are calculated and, wherever possible, compared with experiment. The general results indicate that the Hartree-Fock method may legitimately be extended beyond its common use in structure studies. Both static properties and dynamic ones are reasonably well reproduced in the region where the single-determinant approximation is an acceptable starting point.