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Using the relativistic Hartree-Fock approximation, we calculate the rates of atomic ionization by absorption of pseudoscalar particles in the mass range from 10 to 50 keV. We present numerical results for atoms relevant for the direct dark-matter searches (e. g. Ar, Ge, I and Xe), as well as the analytical formula which fits numerical calculations with few per cent accuracy and may be used for multielectron atoms, molecules and condensed matter systems.
Dzuba et al. (Tue,) studied this question.