A practical relativistic theory of three-body scattering

Abstract

A natural and unambiguous generalization of the boundary condition formalism previously proposed by this author is shown to result in a practical set of equations for describing relativistic three-particle scattering. These equations are exactly unitary, and can be readily generalized to the $n$-body case. Applied to the $0^{-}$ and $1^{-}$ states of the $3\pi$ system ($I=0, 1, 2$), they yield the $\pi$ and $\omega$ as natural consequences of the $\pi -\pi$ $s$- and $p$-wave phases; there are no spurious predictions. The equations appear ideal for relativistic data analysis.