Preliminary Results on the Empirical Applicability of the Tsallis Distribution in Elastic Hadron Scattering

TL;DR

This paper demonstrates that the Tsallis distribution effectively models proton-proton elastic scattering data, suggesting deviations from black-disk behavior at high energies with only five parameters.

Contribution

It introduces a novel parametrization using the Tsallis distribution for elastic scattering data with minimal parameters, providing new insights into hadron behavior at high energies.

Findings

Tsallis distribution fits data well at dip position and beyond

Extrapolation indicates hadrons may not be black disks asymptotically

Only five free parameters used in the model

Abstract

We show that the proton-proton elastic differential cross section data at dip position and beyond can be quite well described by a parametrization based on the Tsallis distribution, with only five free fit parameters. Extrapolation of the results obtained at 7 TeV to large momentum transfer, suggests that hadrons may not behave as a black-disk at the asymptotic energy region.