Complex Angular Momentum in Three-Particle Potential Scattering

Publisher Website
Google Scholar
Abstract
In this paper we discuss the continuation of a class of three-particle potential scattering amplitudes to complex values of the total angular momentum. The class of amplitudes considered are those which describe a scattering in which a given pair of the particles is bound in the initial and final states. A nonrigorous discussion indicates that, except for simple kinematic factors, the only singularities present in the complex angular momentum plane are dynamical poles and possible isolated essential singularities. The Watson-Sommerfeld transformation of the full amplitude can be performed to display its large momentum-transfer behavior.