Glauber approximation for the excitation of hydrogenlike ions by structureless charged particles. I

A Glauber approximation to the scattering amplitude for the direct inelastic scattering of structureless charged particles by ion targets is derived and applied to inelastic scattering by hydrogenlike ions with arbitrary nuclear charge. The $1s\to nlm$ Glauber scattering amplitudes are evaluated in closed form as simple sums of Meijer $G$ functions. The asymptotic behavior of these amplitudes is examined for both large and small momentum transfers, and for the limit of infinitely large nuclear charge.