Processes of formation and decay of the Rydberg states of multiply charged ions escaping solid surfaces with intermediate velocities ( ≈ 1 a.u.) represent complex quantum events that require a detailed quantum description. We have developed a two-state vector model for the population process, with the functions Ψ1 and Ψ2 for definition of the state of a single active electron. The electron exchange between the solid and the moving ion is described by a mixed flux through a plane positioned between them. For the low values of the angular momentum quantum numbers the radial electronic coordinate can be neglected, whereas for the large-values a wide space region around the projectile trajectory was taken into account. The reionization of the previously populated states is considered as a decay of the wave function Ψ 2 . The corresponding decay rates are obtained by an appropriate etalon equation method: in the large-case the radial electronic coordinate is treated as a variational parameter. The theoretical predictions based on that population-reionization mechanism are compared with the available beam-foil experimental data, as well as the experimental data obtained in the interaction of multiply charged ions with micro-capillary foil. Generally, the model reproduces the experimentally observed non-linear trend of the distributions from = 0 to max = − 1.
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