Heavy Quark Fragmentation to Baryons Containing Two Heavy Quarks

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We discuss the fragmentation of a heavy quark to a baryon containing two heavy quarks of mass mQ≫Λ QCD. In this limit the heavy quarks first combine perturbatively into a compact diquark with a radius small compared to 1/Λ QCD, which interacts with the light hadronic degrees of freedom exactly as does a heavy antiquark. The subsequent evolution of this QQ diquark to a QQq baryon is identical to the fragmentation of a heavy antiquark to a meson. We apply this analysis to the production of baryons of the form ccq, bbq, and bcq.