On the Theory of Atom—Diatom Collisions

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Abstract
The Feshbach approach to scattering theory is used for a theoretical description of the scattering of a rigid rotator and an atom. Coupled equations for the open-channel components of the wavefunction are derived in a total-angular-momentum representation. It is shown that the partial wave amplitudes for either jmi to j′mi′ or j to j′ transitions may be obtained directly from the solution of these coupled equations by different choices of boundary conditions. It is also shown that only the first or second energetically non-accessible rotator state has any effect on the open-channel wavefunctions. The treatment given is exact and may be extended to deal with any finite multipole expansion of the potential of interaction.

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