  Non-Relativistic QCD (NRQCD) has provided a consistent framework for the
physics of quarkonia. The colour-octet Fock components predicted by NRQCD have
important implications for the phenomenology of quarkonium production in
experiments. We have considered the consequences of the colour-octet channels
for the production of the $^1P_1$ charmonium state, $h_c$, at large-p_T at the
Tevatron. The colour-octet contributions to this state are found to be dominant
and give a reasonably large rate for the production of $h_c$. This should make
it feasible to look for this resonance in the $J/\psi +\pi$ decay channel. The
observation of $h_c$ is interesting in its own right, since its existence has
yet to be experimentally confirmed. Moreover, this rate is a prediction of
NRQCD, and the observation of the $h_c$ at the Tevatron can, therefore, be used
as a test of NRQCD.
