Hadron diffractive scattering at ultrahigh energies and coulomb interaction

TL;DR

This paper investigates the combined effects of hadronic and Coulomb interactions in proton-proton scattering at ultrahigh energies, revealing that the real part of the amplitude concentrates at the black disk's edge, intensifying interference effects as energy increases.

Contribution

It introduces a detailed analysis of hadron-Coulomb interference at ultrahigh energies using the $K$-matrix technique, assuming a black disk model for hadronic interactions.

Findings

Interference effects grow with energy up to 10^6 TeV.

Real part of the amplitude concentrates at the black disk border.

Interplay effects become more significant at higher energies.

Abstract

We study the interplay of hadronic and Coulomb interactions for $pp$ scattering at LHC energies on the basis of the previous determination of the real part of the amplitude [{\it V.V. Anisovich, V.A. Nikonov, J. Nyiri}, Int. J. Mod. Phys. A{\bf 30}, 1550188 (2015)]. The interference of hadron and Coulomb interactions is discussed in terms of the $K$-matrix function technique. Supposing the black disk mode for the asymptotic interaction of hadrons, we calculate interference effects for the energies right up to $\sqrt{s}= 10^6$ TeV. It turns out that the real part of the amplitude is concentrated in the impact parameter space at the border of the black disk that results in a growth of interplay effects with the energy increase.