Consequences for High-Energy Elementary Processes

Abstract

The analytic properties of the amplitudes combined with the unitarity condition of the S-matrix lead to a number of restrictions on the behaviour of the cross sections of high-energy elementary processes (more precisely, as the energy of the colliding particles tends to infinity). One of the first estimates obtained in this way was the Froissart bound for the total cross section of the interaction of two particles: *

$$ {\sigma _{tot}}(s) \leqslant const \cdot {\ln ^2}{\text{ }}s $$

(17.1)