Charge Transfer in Proton-Hydrogen Collisions by the Faddeev Approach

An approximate form of the Faddeev equations has been applied to the charge-transfer process in proton-hydrogen collisions. The effect of coupling with the direct channel has been taken into account. This formalism satisfies the unitarity condition below the breakup threshold. Results for the ground-state capture cross section have been obtained with and without the inclusion of the effect of proton-proton interactions. The experimental findings for the capture cross section in the energy range 1-150 keV lie in between our two sets of results. At high incident energies our results with and without the proton-proton interaction have approached the Jackson-Schiff and Brinkman-Kramers cross sections, respectively. The differential cross sections for the capture in the forward direction have been compared with the corresponding results of other theorists. Results for the elastic cross section have also been obtained.