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Three-body charge transfer reactions with Coulomb interaction in the finalstate are considered in the framework of coordinate-space integro-differentialFaddeev-Hahn-type equations within two- and six-state close couplingapproximations. The method is employed to study direct muon transfer inlow-energy collisions of the muonic hydrogen H$_\mu$ by helium (He$^{++}$) andlithium (Li$^{+++}$) nuclei. The experimentally observed isotopic dependence isreproduced.Comment: 14 pages REVTeX, accepted for publication in Journal of Physics

Low-energy three-body charge transfer reactions with Coulomb interaction in the final state