Analysis of three-body final states: Nonrelativistic

Abstract

Quantum mechanics forces rapid variation and coherent interrelation on amplitudes usually taken to be independent and constant in the Watson approximation to final state interactions. These effects are particularly important when more than one pair of final state interactions is simultaneously big. We develop these amplitude conditions using unitarity only. We show how these constraints combined with analyticity give a set of linear scattering integral equations. These equations are not only the minimal set compatible with the general constraints of quantum mechanics, but also turn out to be the simplest form of the separable interaction equations.