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

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

2010-11-05

arxiv.org/abs/1011.1349v2

Phys.Rev.D84:025012,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages

Scientific paper

10.1103/PhysRevD.84.025012

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.

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