  We study the production of charmed mesons (D, D_s) in antiproton-proton
annihilation close to the reaction thresholds. The elementary charm production
process is described by baryon exchange and in the constituent quark model,
respectively. Effects of the interactions in the initial and final states are
taken into account rigorously. The calculations are performed in close analogy
to our earlier study on pbarp to KbarK by connecting the processes via SU(4)
flavor symmetry. Our predictions for the DDbar production cross section are in
the order of 10^{-2} -- 10^{-1} mu b. They turned out to be comparable to those
obtained in other studies. The cross section for a D_sD_s pair is found to be
of the same order of magnitude despite the fact that its production in pbarp
scattering requires a two-step process.
