Theory of resonant charge transfer in ion-surface collisions at grazing incidence at intermediate velocities

We present a multichannel theory for resonant charge transfer in ion-surface collisions at grazing incidence at intermediate velocities (v≃1 a.u.) taking into account the nonorthogonality of the initial and the final states. Kinematic resonances occur between the atomic projectile levels and the Galilei-shifted conduction band of a metal. The time-dependent Schrödinger equation can be solved in the adiabatic approximation for the slow perpendicular motion ($v_{\perp }$≪1). As an application we calculate the complete n=2 density matrix for H(n=2) following proton scattering at a gold surface at grazing incidence (θ=5°). The shape of the charge cloud around the receding hydrogen atom is determined.