Two-body rearrangement collision of atom—diatomic-molecule system: Role of wave-number matching

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Abstract
A concise interpretation of the perturbation potential in the distorted-wave Born-approximation representation is given for state-to-state rearrangement collisions. We discuss the usefulness of the kernel and radial overlap distributions for understanding reaction mechanisms. For example, the cause of backward scattering in product angular distributions is explained from the study of the kernel distribution. The reaction zone is seen to be well defined by the domain of the kernel distribution with the exclusion of the region interior to the channel radii corresponding to the classical turning points in the initial- and final-arrangement channels. However, the domain of the overlap distribution sharply defines the reaction zone on the channel coordinate plane. Unlike the case of a few nucleon transfer reaction involving a massive target nucleus, wave-number matching alone is not a sufficient condition for yielding the maximum cross sections for the state-to-state rearrangement-collision processes of heterotriatomic systems.