Complex angular momentum and diffraction scattering

Abstract

Analytical behavior in the t-plane for alpha (t), f(t), and h(t) is introduced into a model for high-energy scattering dominated by a vacuum intermediate state that exhibits a pole and a fixed branch cut in the angular momentum plane (see NSA, 17: 37958). alpha /fub p/(t) is the Pomeranchuk trajectory, f(t) is the form factor, and h(t) = g(t)/ alpha /sub p/(t)f(t), where g(t) is the residue of the Regge pole. This reduces the arbitrariness in the model and allows a fit of recent K/sup +/p and K/sup -/p data and improved determination of alpha /sub p/ and h. An effective-range approximation is used to make experimental comparisons that consist of replacing the right-hand branch cut in the t-plane by a single pole. (R.E.U.)