Abstract
We study the consequences of high-energy collider data on the best fits to total, elastic, and inelastic cross sections for $pp$ and $p\bar{p}$ scattering using two very distinct unitarisation schemes: the eikonal and the $U$-matrix. Despite their analytic differences, we find that the two schemes lead to almost identical predictions up to EeV energies, with differences only becoming significant at GUT-scale and higher energies.
Highlights
We study the consequences of high-energy collider data on the best fits to total, elastic, and inelastic cross sections for pp and ppscattering using two very distinct unitarization schemes: the eikonal and the U-matrix
A comprehensive treatment of the pp and ppcross sections with quantum chromodynamics being elusive for the moment, one has to rely on some generic arguments about unitarity and analyticity of the scattering matrix to derive phenomenological estimates of the high-energy total, elastic and inelastic cross sections
Since the inelastic cross section is key to computing multiple minijet production from cosmicray interactions with the atmosphere at ultrahigh energies, the relation between the total and inelastic cross sections is essential to the description of extensive air showers
Summary
We study the consequences of high-energy collider data on the best fits to total, elastic, and inelastic cross sections for pp and ppscattering using two very distinct unitarization schemes: the eikonal and the U-matrix. Besides the fact that there are a lot of relevant data that have since appeared [2,3,4,5,6,7,8,9,10,11,12,13], these fits have the drawback that they cannot self-consistently relate the total cross section to the elastic and inelastic ones.
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