Phenomenological Analysis of $pp$ and $\bar{p}p$ Elastic Scattering Data in the Impact Parameter Space

TL;DR

This paper employs an analytical approach to analyze $pp$ and $ar{p}p$ elastic scattering data, providing insights into the impact parameter space and predicting saturation of the Froissart-Martin bound at LHC energies.

Contribution

It introduces an almost model-independent parameterization to analyze scattering data and estimates uncertainties, enhancing the understanding of hadron-hadron interactions in impact parameter space.

Findings

Prediction of inelastic overlap function saturation at 14 TeV

Improved geometrical description of hadron interactions

Estimation of uncertainty regions in the analysis

Abstract

We use an almost model-independent analytical parameterization for $pp$ and $\bar{p}p$ elastic scattering data to analyze the eikonal, profile, and inelastic overlap functions in the impact parameter space. Error propagation in the fit parameters allows estimations of uncertainty regions, improving the geometrical description of the hadron-hadron interaction. Several predictions are shown and, in particular, the prediction for $pp$ inelastic overlap function at $\sqrt{s}=14$ TeV shows the saturation of the Froissart-Martin bound at LHC energies.