Energy dependence of cross sections in proton-proton and antiproton-proton collisions

TL;DR

This paper analyzes how total cross sections in proton-proton and antiproton-proton collisions depend on energy, using recent experimental data and theoretical models to explore fundamental scattering limits at high energies.

Contribution

It provides updated empirical analysis with recent data and introduces analytic parameterizations based on AQFT to describe energy dependence over a wide range.

Findings

Global scattering parameters approach the (modified) Froissart-Martin limit at multi-TeV energies.

The analysis confirms the validity regions of Pomeranchuk and Froissart-Martin theorems.

Bosonic condensation is proposed as a mechanism influencing the total cross section limits.

Abstract

Energy dependence of global scattering parameters, mostly of total cross section, is studied for proton-proton and antiproton-proton collisions. Results are presented for physical analysis updated with taken into account the recent data from accelerator experiments as well as from cosmic ray measurements. The analytic parameterizations suggested within Axiomatic Quantum Field Theory (AQFT) provide the quantitative description of energy dependence of global scattering parameters for rather wide energy range. Detailed scan on low boundary of the fitting range for energy dependence of global scattering parameters allows the observation of the onsets for regions in which Pomeranchuk theorem and / or Froissart-Martin one is valid. It is obtained that global scattering parameters show the behavior corresponded to any formulations of Pomeranchuk theorem and closed to (modified) Froissart-Martin limit in functional sense in multi-TeV energy region. Bosonic condensation is considered as one of the possible dynamical mechanisms which would be provide the total cross section approaches to (modified) Froissart-Martin limit at quantitative level but not functionally only.