  The production of baryons containing two charmed quarks Xi_cc in hadronic
interactions at high energies and large transverse momenta is considered. It is
supposed, that Xi_cc-baryon is formed during a non-perturbative fragmentation
of the (cc)-diquark, which was produced in the hard process of $c$-quark
scattering from the colliding protons: c+c -> (cc) +g. It is shown that such
mechanism enhances the expected doubly charmed baryon production cross section
on Tevatron and LHC colliders approximately 2 times in contrast to predictions,
obtained in the model of gluon - gluon production of (cc)-diquarks in the
leading order of perturbative QCD.
