High-Energy Proton-Proton Scattering and the Lévy Potential

Abstract
The predictions of Lévy's potential for high-energy proton-proton scattering have been examined. The potential was used in the form of Blatt and Kalos, and contains three adjustable parameters. Values of the parameters that fit the low-energy data as well as values that lead to approximately correct total cross sections at high energies have been tried. Phase shifts obtained by numerical integration at several energies were used to calculate the cross section and the polarization. Definite disagreement with experimental results was found. Features of Lévy's potential responsible for the disagreement are discussed.