Semiclassical treatment of vibrational energy transfer in three dimensions

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Abstract
Inelastic scattering in atom-molecule collisions is studied in terms of effective inelastic cross sections for vibrational transitions, which are evaluated by semiclassical methods for an effective spherically symmetric (‘breathing sphere’) interaction potential. Expressions are obtained for the differential cross sections in terms of the classical impact parameter, by both simple stationary phase and uniform approximations. The general behaviour of the system is illustrated by calculations on a number of model potentials. Comparison is also made with theoretical and experimental results for Li+H2 scattering.