Doubly charmed baryon production in hadronic experiments

Abstract

In the leading order of perturbative QCD we calculate the total and differential cross sections for the hadronic production of doubly charmed baryons ${\ensuremath{\Xi}}_{\mathrm{cc}}$ and ${\ensuremath{\Xi}}_{\mathrm{cc}}^{*}$ in different experiments. The experimental evaluation of the cross sections for the $J/\ensuremath{\psi}+D+\overline{D}$ production would allow us to decrease the uncertainty in the determination of cross sections for the doubly charmed baryons due to the choice of ${\ensuremath{\alpha}}_{s}$ and ${m}_{c}.$ We show that in the HERA-B and E781 experiments with fixed tagets the suppression of the ${\ensuremath{\Xi}}_{\mathrm{cc}}$ and ${\ensuremath{\Xi}}_{\mathrm{cc}}^{*}$ production to the yield of $c\overline{c}$ pairs is a value of the order of ${10}^{\ensuremath{-}6}\ensuremath{-}{10}^{\ensuremath{-}5}$, whereas at the Fermilab Tevatron and CERN LHC colliders it is about ${10}^{\ensuremath{-}4}\ensuremath{-}{10}^{\ensuremath{-}3}$. In the E781 experiment the observation of ${\ensuremath{\Xi}}_{\mathrm{cc}}$ and ${\ensuremath{\Xi}}_{\mathrm{cc}}^{*}$ is practically impossible. At the HERA-B and Tevatron facilities one can expect ${10}^{5}$ events with the double charm, and at LHC one has about ${10}^{9}$ events.