Relativistic Eikonal Approximation and Vector Meson Exchange Effect

Abstract

The real part of the forward amplitude for high energy hadron-hadron elastic scattering is estimated from quantum field theory by means of a functional derivative method. If the generalized crossed ladder diagrams are taken into account, it is shown that the relativistic scattering amplitude can be treated in a way similar to the eikomU approximation of the non­ relativistic potential scattering. A massive vector meson is assumed to be exchanged between two colliding particles. Comparison with the p-p scattering data is discussed. § I. Introduction At high energies, the scattering amplitudes of hadrons exhibit remarkable features of exponential dependence on the momtmtum transfer squared, and have little dependence on the energy of incident particles. Roughly speaking, there seems to be two schools of thought to interpret these features. One is the Regge pole model based on i:he analytic properties of scattering amplitudes and the other is the absorption model related to geometrical properties of particles considered. As one of the latter models, Chou and Y ang1> proposed the droplet model in which the elastic scattering amplitude is expressed in an impact parameter representation: