The Froissart bound for inelastic cross-sections

Details The Froissart bound for inelastic cross-sections The Froissart bound for inelastic cross-sections

2009-04-23

arxiv.org/abs/0904.3724v4

Phys.Rev.D80:065013,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages. Corrected minor typos

Scientific paper

10.1103/PhysRevD.80.065013

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

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