Abstract

The recent Serpukhov data show that the forward slope of the elastic p-p differential cross sections increases with energy above 20 Ge V / c.1> The purpose of this note is to discuss a simple diffraction model which is capable of explaining such a shrinkage of the forward peaks. Let us assume that the aggregate of inelastic processes has, as far as their effects on the elastic process are concerned, some simple representation and can be effectively expressed by a two-body channel p + p where p is a hypothetical isobar. In the following discussion we treat p and p as spinless particles. Assuming the dominance of the diffraction scattering for small momentum transfer elastic scattering, the partial wave S-matrix for elastic protonproton scattering may be written as2>

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