Optical-Model Potential for Nucleons Scattered by Nuclei

The Serber model of high-energy nuclear interactions permits one to express the "optical-model" potential for nucleons in terms of nucleon-nucleon scattering amplitudes. The potential is written in terms of four well-depth parameters in the form ${U}C={-}[{V}CR+i{V}CI]{ρ}(r)+[{V}SR+i{V}SI]{({{}}{{μ}c})}²1/r{d{ρ}}{dr}{σ}·{}1,$ and experiments necessary to determine the four parameters ${V}CR$, ${V}CI$, ${V}SR$, and ${V}SI$ are discussed. The explicit relations between the parameters and nucleon-nucleon scattering amplitudes are given and existing experimental data are reviewed.The phase shifts of Feshbach and Lomon have been used to calculate VCR, VSR, and VSI. These values seem to reproduce the qualitative features of the "measured" values of these quantities. (A quantitative comparison is not possible, since analyses of the experimental data are not sufficiently complete.)