Adiabatic and diabatic decoupling for selected H-H* scattering states

Abstract
For thermal atomic collisions a new simple expression for the partial inelastic scattering cross section, not involving any derivatives or highly cancelling components, is derived in a two-state distorted wave description. It is shown that an R-dependent diabatic representation is not possible, R being the internuclear distance, and a near-adiabatic representation is suggested as an alternative to the usual adiabatic representation. To test the numerical stability of the new formula and to compare the representations, transition probabilities for thermal H-H* collisions are calculated by the method of distorted waves using the complete radial coupling operators.