Surface Corrections to the High-Energy Optical Potential

The dependence of the nucleon-nucleon scattering matrix on the momentum transfer $q$ is taken into account in a derivation of the high-energy (local) optical potential. This leads to an optical potential characterized by radial functions which have larger mean radii and more diffuse surfaces than does the nucleon distribution in the target nucleus, to which these functions reduce when the $q$ dependence is neglected.