Froissart Bound, Diffraction Scattering of Hadrons and Scaling at Asymptotic Energies

TL;DR

This paper tests the Froissart bound against high energy data, investigates the scaling of differential cross sections in diffraction, and finds no violation of the bound, revealing scaling behavior across multiple collider energies.

Contribution

It provides the first comprehensive analysis of diffraction scaling at LHC energies and tests the Froissart bound with recent high-energy data.

Findings

No clear violation of Froissart bound observed.

Scaling property of differential cross section confirmed at LHC.

Diffraction peak slope fitted and consistent with bounds.

Abstract

The Froissart bound on the total cross section is subjected to test against very high energy data. We have found no clear evidence for its violation. The scaling property of differential cross section in the diffraction region is investigated. It exhibits scaling in the ISR, SPS, Tevatron and LHC energy domain which had hitherto remained unexplored. The slope of the diffraction peak is fitted and the data are tested against the rigorous bounds.