Khuri-Treiman-Type Equations for Three-Body Decay and Production Processes. II

Abstract

We discuss in a definite example the complications arising from the introduction of nonzero angular momenta in a dispersion model for three-body decay or production, based essentially on the elastic approximation in each subenergy channel. First we define production or decay amplitudes free from kinematical singularities. Then it is shown that a convenient choice of these amplitudes leads to integral equations to which the conclusions found in an earlier work in the zero-angular-momentum case apply for the most part, especially as regards three-body unitarity. Further details are given in the case of a three-pion final state.