The high production rate and ⟨xF⟩>0.33 of the doubly
charmed baryons measured by the SELEX experiment is not amenable to
perturbative QCD analysis. In this paper we calculate the production of the
doubly heavy baryons with the double intrinsic charm Fock states whose
existence is rigorously predicted by QCD. The production rate and the
longitudinal momentum distribution are both reproduced. We also show that the
production rates of the doubly charmed baryons and double J/ψ production
observed by NA3 collaboration are comparable. Recent experimental results are
reviewed. The production cross section of the doubly charmed baryons at a
fixed-target experiment at the LHC is presented.Comment: The text is as published in Physics Letters