Abstract
The semiclassical theory of atom-atom potential scattering and of low energy inelastic atom-atom scattering is reviewed. Particular attention is given to the origin and interpretation of rainbow structure, diffraction oscillations and exchange oscillations in the potential scattering differential cross-section, and to the glory structure and symmetry oscillations in the integral cross-section. Available methods for direct inversion of the cross-section data to recover the potential are reviewed in some detail.
The theory of non-adiabatic transitions is introduced by a short discussion of interaction mechanisms and of diabatic and adiabatic representations. Analytical S matrix elements are presented for two state curve-crossing (Landau-Zener-Stückelberg), Demkov and Nikitin models. The relation between Stückelberg oscillations in the S matrix and in the differential cross-section is discussed in terms of interference between trajectories belonging to two different classical deflection functions. The energy dependences of the inelastic integral cross-section for curve-crossing and Demkov type transitions are also discussed. Finally the theory is reviewed in relation to a recent close-coupled study of fine structure transitions in F(2P) + Xe(1S) scattering.
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Child, M.S. (1982). Low Energy Atom-Atom Collisions. In: Gianturco, F.A. (eds) Atomic and Molecular Collision Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3312-8_6
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