Separation of the contributions originating from short- and long-range nuclear phenomena for cumulative proton production

Abstract

The Feynman diagram for cumulative proton production is considered. It is shown that its contribution to the production cross section decomposes into two terms. The short-range term corresponds to the contribution of two-nucleon correlations in nuclei. The long-range term describes the process of the mass-shell intermediate-nucleon rescattering. It is explicitly demonstrated that after separation of the long-range rescattering phenomena the short-range contribution is finite. Formulae suitable for numerical calculations of these and similar processes are obtained.