PHENOMENOLOGICAL ANALYSIS OF pp AND $\bar{p}p$ ELASTIC SCATTERING DATA IN THE IMPACT PARAMETER SPACE

Abstract

We use an almost model-independent analytical parametrization for pp and [Formula: see text] 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 [Formula: see text] shows the saturation of the Froissart–Martin bound at LHC energies.