Inelastic Scattering Calculations with Projected Hartree-Fock Wave Functions

Abstract

The ${\mathrm{O}}^{+}$-${2}^{+}$ cross sections for inelastic proton scattering have been calculated for several target nuclei in the $2s\ensuremath{-}1d$ shell. Inelastic cross sections are calculated in the distorted-wave Born approximation. Hartree-Fock wave functions projected onto states of good angular momentum represent the initial and final states of the nucleus. The cross sections are generally correct in shape, but too small in magnitude; it is suggested that the latter feature results from the assumption of an inert core. To test this hypothesis, the ${\mathrm{Ne}}^{20}$ cross section is recalculated using a 20-particle wave function. The result compares more favorably with experiment.