(ProQuest: ... denotes formulae and/or non-USASCII text omitted)We study the charmed meson pair (D super(0)D super(0) and D super(+)D super(-)) production in pp 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 ..., ..., and ... baryon exchanges and the s-channel excitation, propagation and decay of the 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 ... reaction within a similar model. The D super(0)D super(0) production reaction is dominated by the ... baryon exchange process and the corresponding total cross sections are predicted to be in the range of 0.18?0.7 mu b for antiproton beam momenta varying between threshold and 20GeV/c. The Psi(3770) resonance contributions have a large influence on the differential cross sections of the D super(-)D super(+) production reaction.