Charmonium Production via Fragmentation

We present the preliminary results of a calculation of the fragmentation contribution to charmonium production at large transverse momentum in $p\bar{p}$ colliders. The fragmentation of gluons and charm quarks is the dominant direct production mechanism for sufficiently large $p_{\perp }$. We find that for both $J\mathrm{/}\psi$ and ${\psi }^{\mathrm{\prime }}$ production fragmentation dominates over the conventional gluon-gluon fusion mechanism for $p_{\perp }$ greater than about 6 GeV.} Presented at the Workshop on Physics at Current Accelerator and the Supercollider, Argonne National Laboratory, June 1993.