Open charm production in binary reactions within the Regge theory

We analyze the open charm production in the binary $\pi p \to \bar{D} \Lambda_c$ and $\pi(\rho) J/\psi$ reactions within the Regge theory including the absorption corrections. The calculations show that the total cross section is about a few $\mu$b for the first processes and a few mb for the second reactions at energy close to the threshold. Then it decreases with increasing energy according to the true Regge asymptotics.