Translational factors in eikonal approximation and their effect on channel couplings

Abstract
The coupled equations of the adiabatic-state expansion formulated in the context of the stationary-state scattering theory are examined. The translational factors are introduced in the eikonal approximation through coordinate transformation. The equations are consistent with those of Chen and Watson (1968) in that they are free from the spurious long-range interaction even in the absence of the translational factors. The cancellation of the spurious R-1 long-range interaction of the 2p sigma u-2p pi u rotational coupling in the (p+,H) system is given as an example. The effect of the translational factor on the channel coupling interaction is discussed.