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arXiv · 0904.3724

The Froissart bound for inelastic cross-sections

André Martin
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Abstract

We prove that while the total cross{}-section is bounded by $(π/m_π^2) \ln^2 s$, where $s$ is the square of the c.m. energy and $m_π$ the mass of the pion, the total inelastic cross{}-section is bounded by $(1/4)(π/m_π^2) \ln^2 s$, which is 4 times smaller. We discuss the implications of this result on the total cross{}-section itself.

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André Martin. 2009-08-14. The Froissart bound for inelastic cross-sections. https://doi.org/10.1103/physrevd.80.065013

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