Unitarity Saturation In P-P Scattering

TL;DR

This paper investigates the behavior of proton-proton scattering amplitudes at TeV energies, analyzing unitarity effects and concluding that black body saturation is not reached up to 100 TeV, with implications for future experiments.

Contribution

It provides a detailed analysis of unitarity saturation effects in p-p scattering and predicts that saturation will not occur at energies accessible experimentally.

Findings

Black body saturation not attained up to 100 TeV

Unitarity screenings significantly influence scattering amplitudes

Saturation unlikely at currently accessible energies

Abstract

The properties of soft p-p scattering amplitudes at the TeV-scale are studied so as to identify the impact of s and t channel unitarity screenings on their behavior at exceedingly high energies and determine the rate at which they approach the bounds implied by unitarity saturation. I shall examine the relevant high energy soft cross section features, as well as, the corresponding behavior of the coupled phenomenological models aiming to reproduce this data.\\ My conclusion is that p-p black body saturation is not attained up to 100 TeV. More over, I do not expect that saturation will be attained at energies that can be investigated experimentally.