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 Schr\"odinger equation can be solved in the adiabatic approximation for the slow perpendicular motion (v_⊥{}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.