Doubly Charmed Baryon Production in Hadronic Experiments

In the leading order of perturbative QCD one calculates the total and differential cross-sections for the hadronic production of doubly charmed baryons ${\mathrm{\Xi }}_{cc}$ and ${\mathrm{\Xi }}_{cc}^{\ast }$ in different experiments. The experimental evaluation of cross-sections for the $J\mathrm{/}\mathrm{\Psi }+D+\bar{D}$ production would allow one to decrease the uncertainty in the determination of cross-sections for the doubly charmed baryons due to the choice of ${\alpha }_s$ and $m_c$. One shows that in the HERA-B and E781 experiments with fixed tagets the suppression of the ${\mathrm{\Xi }}_{cc}$ and ${\mathrm{\Xi }}_{cc}^{\ast }$ production to the yield of $c\bar{c}$-pairs is the value of the order of ${10}^{-6}-{10}^{-5}$, whereas at the TEVATRON and LHC colliders it is about ${10}^{-4}-{10}^{-3}$. In the E781 experiment the observation of ${\mathrm{\Xi }}_{cc}$ and ${\mathrm{\Xi }}_{cc}^{\ast }$ is practically unpossible. At the HERA-B and TEVATRON facilities one can expect ${10}^5$ events with the double charm, and at LHC one has about ${10}^9$ ones.