The Froissart bound for inelastic cross-sections

Abstract

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.

Comments: 9 pages. Corrected minor typos