Heavy quark fragmentation to baryons containing two heavy quarks.

We discuss the fragmentation of a heavy quark to a baryon containing two heavy quarks of mass mQ ≫ ΛQCD. In this limit the heavy quarks first combine perturbatively into a compact diquark with a radius small compared to 1/ΛQCD, 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. UCSD/PTH 93-11, CALT-68-1868, SLAC-PUB-6226 hep-ph/9305315 May 1993 † Address after 10/1/93: Dept. of Physics, UC San Diego, La Jolla, CA 92093 ‡ Address after 9/1/93: Dept. of Physics, University of Toronto, Toronto, Ontario, Canada M5S 1A7 § Address after 9/1/93: Dept. of Physics, Carnegie Mellon University, Pittsburgh, PA 15213 ⋆ SSC Fellow