Fully microscopic model of 200 MeV proton-12C elastic and inelastic scattering

An effective two nucleon (NN) interaction in the nuclear medium is defined from an accurate mapping of the NN g matrices obtained by solving the Brueckner-Bethe-Goldstone equations for infinite nuclear matter. That effective interaction is used in a fully microscopic calculation of the nonlocal effective proton-12C interaction from which we obtain predictions of the differential cross section and analyzing power for 200 MeV elastic scattering. The relative motion wave functions so found are used as the distorted waves in a distorted wave approximation (DWA) study of select inelastic scattering events. The effective NN interaction is used as the transition operator in those calculations. The relevant nuclear spectroscopy for the elastic and DWA (p,p) calculations is found from a full (0+2)Latin small letter h with stroke shell model evaluation of the positive parity states while a restricted shell model space (1+3)Latin small letter h with stroke has been used to give the negative parity states. Results are compared with those of the 0p-shell model of Cohen and Kurath or with those based upon axially symmetric, projected Hartree-Fock calculations. The diverse structure model wave functions are assessed by using them in calculations to compare with measured longitudinal, transverse electric, and transverse magnetic form factors from electron scattering to many of the excited states of C12. Using those models of the structure of C12 in our completely microscopic model of the elastic and inelastic scattering of 200 MeV protons, good fits have been found to the cross section and analyzing power data.