Collective model distorted-wave Born approximation analysis of 500-MeV proton scattering from 40Ca.

A vibrational collective model has been used to analyze 15 bound states in /sup 40/Ca excited by inelastic scattering of 500 MeV polarized protons. It is shown that for those states which have surface peaked charge transition densities the collective model describes the shape and magnitude of the angular distributions quite well. The hadronic deformation lengths extracted are shown to be constant over the incident proton energy range of 25--800 MeV with the exception of data at 185 MeV. The average values for the hadronic deformation lengths are used to calculate the ratio of the neutron to proton multipole matrix elements for five states. Elastic scattering and the 3/sub 1//sup -/, 2/sub 1//sup +/, and 5/sub 1//sup -/ transitions have also been studied using the relativistic collective model.