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The capture of $1s$ electrons into partially stripped ions has been calculated rigorously within the Oppenheimer-Brinkman-Kramers approximation taking into account both the departure from the Coulomb potential and the effect of occupied projectile states. Numerical calculations have been performed for Liq+, Cq+, Nq+, and Oq+ colliding with H atoms. After applying a reduction factor derived from the eikonal approximation excellent agreement between theory and experiment is obtained for $q=1$ and slightly decreasing agreement for $q=2$. In all cases considered the partially stripped projectile behaves like a Coulomb particle with the bare charge q if q≥3 except at very high energies. Within the present treatment it is not possible to reproduce the oscillations in the charge-state dependence of the cross section for the reaction Taq++H→H⁺+Ta^(q-1)+ observed by Kim et al.
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Eichler et al. (1981) studied this question.
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