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

Publisher Website
Google Scholar
Abstract
We discuss some aspects of a model for three-body decay (or production) processes based essentially on the elastic approximation in each subenergy channel. A simple method is given to reduce the dispersion integral equations into a single-variable form. In passing, some properties of the triangle-graph amplitude with respect to an internal mass are clarified. Finally we discuss the conditions under which the model can nearly satisfy three-body unitarity; in particular, it is shown that, by simulating high-energy effects in each subenergy variable by a convenient cutoff procedure, we can satisfy three-body unitarity, at least in the decay (or production) region. We restrict ourselves in this paper to the lowest possible angular momentum states.

This publication has 37 references indexed in Scilit: