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The production of a $D\bar D$ meson-pair in antiproton-proton ($\bar p p$)annihilation close to the production threshold is investigated, with specialemphasis on the role played by the $\psi$(3770) resonance. The study isperformed in a meson-baryon model where the elementary charm production processis described by baryon exchange. Effects of the interactions in the initial andfinal states are taken into account rigorously, where the latter involves alsothose due to the $\psi$(3770). The predictions for the $D\bar D$ productioncross section are in the range of 30 -- 250 nb, the contribution from the$\psi$(3770) resonance itself amounts to roughly 20 -- 80 nb.

The $\psi$(3770) resonance and its production in $\bar pp \to D \bar D$