Low-energy muon-transfer cross sections and rates in collisions of muonic a
toms with hydrogen isotopes are calculated using a six-state close-coupling
approximation to coordinate-space Faddeev-Hahn-type equations. In the muon
ic case satisfactory results are obtained for all hydrogen isotopes and the
experimentaly observed strong isotopic dependence of transfer rates is als
o reproduced. A comparison with results of other theoretical and available
experimental works is presented. The present model also leads to good trans
fer cross sections in the well-understood problem of antihydrogen formation
in antiproton-positronium collision.