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

Abstract

The robustness of the factorization theorem for total cross sections, $\sigma_{nn}/\sigma_{\gamma p}=\sigma_{\gamma p}/\sigma_{\gamma\gamma}$, originally proved by Block and Kaidalov\cite{bk} for $nn$ (the even portion of $pp$ and $\pbar p$ scattering), $\gamma p$ and $\gamma\gamma$ scattering, is demonstrated. Factorization theorems for the nuclear slope parameter $B$ and $\rho$, 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.