Off-Shell Solution of Scattering Equations

Abstract

A method of solving scattering equations is discussed which enables one to exhibit explicitly the off-shell solutions. Results are derived for nonrelativistic scattering from superpositions of exponential and Yukawa potentials. As a byproduct, we make use of our representation for the partial-wave amplitude to prove meromorphy in the left half $l$ plane, as well as giving simple derivations of some well-known results by Regge. The technique is easily generalized to other equations and potentials; in particular, we state the result obtained for the Blankenbecler-Sugar equation.