Modified Faddeev treatment of electron capture.

The Faddeev multiple-scattering formalism in second order is modified to treat lower projectile energies. The electronic part of the amplitude is evaluated using a Hartree-Fock approximation to the helium wave function and a consistent screened target potential for the active electron. Off-energy-shell scattering states appearing in the electronic part of the full amplitude are corrected for loss of normalization. The high velocity Faddeev nuclear-scattering contribution is normalized to the eikonally transformed electronic amplitude at large angles. An application to proton-helium collisions at 293 keV shows good agreement with the experimental data. The effects of the various approximations are studied. {copyright} {ital 1996 The American Physical Society.}