Energy evolution of the overlap functions: increasing ratio of $\sigma_{el}(s)/\sigma_{tot}(s)$ and black ring emergence

TL;DR

This paper investigates how the energy dependence of overlap functions relates to the increasing ratio of elastic to total cross sections and the formation of black rings at high energies, highlighting different saturation effects.

Contribution

It introduces a comparative analysis of saturation effects in overlap functions and their implications for the evolution of scattering phenomena at high energies.

Findings

REL effect linked to increased ratio of elastic to total cross sections

Black ring structure emerges at LHC energies

Different saturation scenarios influence the energy evolution of overlap functions

Abstract

We analyse the two possible options of the energy dependency of the elastic and inelastic overlap functions. These correspond to saturation of the black disk limit (BEL effect) and to the unitarity saturation (REL effect) at $s\to\infty$. Relation of the REL effect to increase of the ratio $\sigma_{el}(s)/\sigma_{tot}(s)$ and emergence of black ring picture at the LHC is underlined.