Charge transfer in the eikonal approximation

A new technique has been proposed and outlined to calculate the rearrangement amplitude in the eikonal approximation, taking a consistent account of the internuclear potential term in order to satisfy the boundary condition properly. The six-dimensional integral of the Glauber eikonal transition amplitude has been reduced to a single-dimensional one, which is to be evaluated numerically. Numerical results for the process ${\mathrm{H}}^{+}$+H(1s)→H(1s)+${\mathrm{H}}^{+}$ have been computed for the intermediate- and high-energy regions and have been compared with other existing theoretical results.