An upper bound on the total inelastic cross-section as a function of the total cross-section

TL;DR

This paper derives a new upper bound on the inelastic cross-section based on the total cross-section, improving previous bounds by incorporating recent theoretical insights.

Contribution

It introduces an improved upper bound on the inelastic cross-section as a function of the total cross-section, refining the Martin bound with additional theoretical constraints.

Findings

New upper bound on inelastic cross-section in terms of total cross-section

Significant improvement over previous Martin bound

Enhanced understanding of high-energy scattering limits

Abstract

Recently Andr\'e Martin has proved a rigorous upper bound on the inelastic cross-section $\sigma_{inel}$ at high energy which is one-fourth of the known Froissart-Martin-Lukaszuk upper bound on $\sigma_{tot}$. Here we obtain an upper bound on $\sigma_{inel}$ in terms of $\sigma_{tot}$ and show that the Martin bound on $\sigma_{inel}$ is improved significantly with this added information.