Hadron diffractive production at ultrahigh energies

TL;DR

This paper investigates hadron diffractive production at ultrahigh energies, showing how rescattering corrections transform amplitudes into a black disk regime and deriving precise solutions for three-body reactions using the K-matrix and eikonal approaches.

Contribution

It introduces a modified K-matrix technique and exact solutions for three-body diffractive reactions at ultrahigh energies, advancing understanding of scattering amplitude behavior.

Findings

Rescattering corrections lead to black disk amplitudes at ultrahigh energies.

Final state interactions mainly suppress amplitudes by a factor of 1/4.

Precise solutions for three-body diffractive reactions are obtained in the eikonal approach.

Abstract

Diffractive production is considered in the ultrahigh energy region where pomeron exchange amplitudes are transformed into black disk ones due to rescattering corrections. The corresponding corrections in hadron reactions $h_1+h_3\to h_1+h_2+h_3$ with small momenta transferred ($q^2_{1\to 1}\sim m^2/\ln^2s$, $q^2_{3\to 3}\sim m^2/\ln^2s$) are calculated in terms of the $K$-matrix technique modified for ultrahigh energies. Small values of the momenta transferred are crucial for introducing equations for amplitudes. The three-body equation for hadron diffractive production reaction $h_1+h_3\to h_1+h_2+h_3$ is written and solved precisely in the eikonal approach. In the black disk regime final state scattering processes do not change the shapes of amplitudes principally but dump amplitudes in a factor $\sim\frac 14$.