Elastic and Inelastic Diffraction and Two-Component Overlap Function

Abstract

We show that, as a consequence of the s-channel unitarily, non-diffractive part of inelastic overlap function in high-energy hadron-hadron scattering should have a longer range than diffractive one, and discuss impact and energy-dependence structure of p-p overlap function at FNAL-ISR energies. Apparently elastic and inelastic diffraction is a prominent feature 111 high energy hadron phenomena, and one recongnizes it to be important in hadron physics that the diffraction is made clear in terms of multi-particle production. As is well known the multi-particle production may be classified into two distinct components; the dif­ fractive and the non-diffractive production.!) Implications of those components in elas­ tic P-P diffraction or, more precisely, in inelastic overlap function in the unitarity sum have been discussed by many people. Roughly speaking, there are two kinds of opposite arguments for impact profile of the overlap function: Diffractive part is more peripheral ;2l non-diffractive part is more peripheral. 31 4l In this paper we point out that, as a consequence of the s-channel unitarity, non-diffractive part of the inelastic overlap function should have a longer range than diffractive one, and discuss structure of P-P inelastic overlap function at FNAL­ ISR energies.