Identification of the partial wave parameter and simplification of the differential cross section in the j zCCS approximation in molecular scattering

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Abstract
The identification of the partial wave parameter ? of the JzCCS approximation in molecular scattering theory is considered, and it is shown that if one chooses ?=l′ (the final orbital angular momentum) rather than ?=J (the total angular momentum) the full body-fixed expression for the scattering amplitude reduces directly to the simple formula used by McGuire and Kouri. Results are cited that show that ?=l′ is not only simple, but physically reasonable, and gives much better results than ?=J.