Abstract
This chapter deals with a process occurring over one elastic channel. One can confine oneself to elastic scattering only if the initial and final states of colliding atoms are adiabatically isolated from all other states. Also, the degeneracies of the colliding partners A and B, if any, must be immaterial for a scattering process. Two closed-shell atoms, both in 1 S states, colliding at low energy, best satisfy the above requirement. When the spins S A and S B are not zero, but both atoms are in states with L A = 0 and L B = 0, then again the elastic approximation for each molecular 2S + 1 Σ state is very satisfactory. To a good approximation the S matrix is diagonal (in the appropriate representation) in S quantum numbers. The probability of transitions between different spin states, i.e. the spin depolarization for a given molecular state, is very low and can be calculated in terms of perturbation theory using elastic scattering as a zero-order approximation. The same arguments pertain to two-channel scattering of symmetric systems, when the scattering matrix can be made diagonal with respect to the parity w (Sect. 2.3.2).
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Nikitin, E.E., Umanskii, S.Y. (1984). Elastic Scattering. In: Theory of Slow Atomic Collisions. Springer Series in Chemical Physics, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82045-8_5
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