Austern-Sasakawa scattering theory

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Abstract
The Sasakawa theory of scattering in its various generalized forms is reviewed in detail with particular emphasis on Austern's extension of the method to the iterative solution of coupled differential and integral equations. The relevance of these methods to physical applications is explained. Coester's convergence proof for the Sasakawa series is generalized to include distorted waves and coupled equations, and the convergence of the related Austern series is investigated. A numerical comparison between the Austern and Born series is made for elastic scattering from a central potential. In a model coupled-channel calculation of nuclear inelastic scattering, the Austern method is shown to be a very practical method of solution.