The scavenger problem in diffusion-controlled recombination

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Abstract
A systematic and analytic treatment of the recombination probability for a pair of ions in the presence of a homogeneously distributed scavenger is presented. Results for both low and high scavenger concentrations are given for different ranges of the initial separations of the two ions. The low-density expansion corrects some previously published results, while the recombination probability for large scavenger densities is derived for the first time. Approximations, uniformly valid for all initial distances, are constructed and shown to be in excellent agreement with numerical results.