Factorization Theorems for High Energy nn, gamma p and gamma gamma Scattering

Abstract

The robustness of the factorization theorem for total cross sections, $σ_{nn}/σ_{γp}=σ_{γp}/σ_{γγ}$, originally proved by Block and Kaidalov\cite{bk} for $nn$ (the even portion of $pp$ and $\pbar p$ scattering), $γp$ and $γγ$ scattering, is demonstrated. Factorization theorems for the nuclear slope parameter $B$ and $ρ$, the ratio of the real to the imaginary portion of the forward scattering amplitude, are derived under very general conditions, using analyticity and the optical theorem.