Heavy Quark Fragmentation to Baryons Containing Two Heavy Quarks

Abstract

We discuss the fragmentation of a heavy quark to a baryon containing two heavy quarks of mass $m_Q\gg {\Lambda }_{\mathrm{QCD}}$. In this limit the heavy quarks first combine perturbatively into a compact diquark with a radius small compared to $1/{\Lambda }_{\mathrm{QCD}}$, 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 $bcq$.

Comments: 9 pages, 1 figure included, uses harvmac.tex and epsf.tex, UCSD/PTH 93-11, CALT-68-1868, SLAC-PUB-6226