Phenomenological Approach to Explain the Behavior of the Diffraction Peak in High-Energy Scattering

Abstract

It is pointed out that (i) the observed shrinkage of the diffraction peaks in both $p-p$ scattering and $K^{+}-p$ scattering does not necessarily correspond to the shrinkage predicted by Regge-pole theory, (ii) an upper limit to the width of the diffraction peak can be predicted from a theoretical point of view, and (iii) the observed widths of the diffraction peaks can be explained in terms of total cross sections and a parameter having the same value for various kinds of meson-nucleon scattering (similarly for nucleon-nucleon and nucleon-antinucleon scattering).