Hollowness in pp scattering at the LHC

TL;DR

This paper investigates the hollowness phenomenon in proton-proton scattering at the LHC, analyzing how different phase models affect the inelasticity profile and confirming the robustness of 3D hollowness across various parameterizations.

Contribution

It demonstrates that 3D hollowness in pp scattering is a consistent feature regardless of the phase modeling approach used.

Findings

2D hollowness depends on phase parameterization

3D hollowness is a robust and model-independent effect

Hollowness persists across multiple phase models

Abstract

We examine how the effect of hollowness in pp scattering at the LHC (minimum of the inelasticity profile at zero impact parameter) depends on modeling of the phase of the elastic scattering amplitude as a function of the momentum transfer. We study the cases of the constant phase, the Bailly, and the so called standard parameterizations. It is found that the 2D hollowness holds in the first two cases, whereas the 3D hollowness is a robust effect, holding for all explored cases.