Optical-Model Potential for Nucleons Scattered by Nuclei

Abstract

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 ${\mathcal{U}}_C=-[V_{\mathrm{CR}}+i{V}_{\mathrm{CI}}]\rho \mathrm{}\left(r\right)+[V_{\mathrm{SR}}+i{V}_{\mathrm{SI}}]{\left(\frac{\hslash }{\mu c}\right)}^2\frac{1}{r}\frac{d\rho }{\mathrm{dr}}\sigma ·1,$ and experiments necessary to determine the four parameters $V_{\mathrm{CR}}$, $V_{\mathrm{CI}}$, $V_{\mathrm{SR}}$, and $V_{\mathrm{SI}}$ are discussed. The explicit relations between the parameters and nucleon-nucleon scattering amplitudes are given and existing experimental data are reviewed.