We study the charmed meson pair (${\overline{D}}^0{D}^0$ and $D^{+}{D}^{-}$) production in $\overline{p}p$ annihilation within an effective Lagrangian model that has only the baryon-meson degrees of freedom and involves the physical hadron masses. The reaction amplitudes include terms corresponding to the $t$-channel ${\mathrm{\Lambda }}_c^{+}$, ${\mathrm{\Sigma }}_c^{+}$, and ${\mathrm{\Sigma }}_c^{++}$ baryon exchanges and the $s$-channel excitation, propagation and decay of the $\mathrm{\Psi }(3770)$ resonance into the charmed mesons. The initial- and final-state distortion effects have been accounted for by using a simple eikonal approximation-based procedure in the same way as was done in our previous study of the $\overline{p}p\to {\overline{\mathrm{\Lambda }}}_c^{-}{\mathrm{\Lambda }}_c^{+}$ reaction within a similar model. The ${\overline{D}}^0{D}^0$ production reaction is dominated by the ${\mathrm{\Lambda }}_c^{+}$ baryon exchange process and the corresponding total cross sections are predicted to be in the range of $0.18-0.7\mu \mathrm{b}$ for antiproton beam momenta varying between threshold and $20\mathrm{GeV}/\mathrm{c}$. The $\mathrm{\Psi }(3770)$ resonance contributions have a large influence on the differential cross sections of the $D^{-}{D}^{+}$ production reaction.

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• Exotic mesons
• Mesons