Method for scattering equations. II. Iterative solution

A recently proposed method for t matrix Lippmann-Schwinger-type equations is reexamined and is investigated numerically. The method relies on the introduction of an auxiliary equation containing an arbitrary function, whose kernel is free from the fixed point singularity of the original equation. In the present work we rewrite the final result of the method in such a way that it has all the important features of a related method by Kowalski and Noyes and is simple to use in practice. With special choices of the arbitrary function the present method can be considered as an off-shell extension of methods of Bolsterli, of Kowalski, and of Sasakawa. The method also readily gives a practical way of calculating K matrix elements. Using the iterative solution of the auxiliary equation, the method is tested numerically to compute off-shell t matrix elements for three commonly used nucleon-nucleon potentials for various choices of the arbitrary function.