Interpretation of ES, CS, and IOS approximations within a translational–internal coupling scheme. IV. ES and IOS molecule–molecule cross sections

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Abstract
Properties of energy sudden and infinite order sudden translational–internal reduced S matrices are given for general molecule–molecule collisions. Formal similarities with the distorted wave Born approximation are discussed. Structural simplifications of energy dependent and kinetic cross sections associated with making the ES approximation are described. Conceptual difficulties associated with applying the ES and IOS approximations to kinetic processes dominated by energetically inelastic collisions are pointed out.