| Abstract |
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\begin{abstract}
We have searched for prompt production of $\chi_{c1}$, $\chi_{c2}$ and $X(3872)$
in continuum $e^+e^-$ annihilations using a 386 fb$^{-1}$ data sample
collected around $\sqrt{s} = 10.6$ GeV with the $BABAR$ detector
using the $\gamma J/\psi$ decay mode.
After accounting for the feed-down from $\psi(2S)\rightarrow\gamma\chi_{c1,2}$,
no significant signal for prompt $\chi_{c1,2}$ production is observed. We
present improved upper limits on the cross-section,
with the rest of the event consisting of more than two charged tracks, to be
77 fb for $\chi_{c1}$ and 79 fb for $\chi_{c2}$
with $e^+e^-$ center-of-mass frame $\chi_c$ momentum greater than 2.0 GeV
at 90\% confidence level.
These limits are consistent with NRQCD predictions.
We also set an upper limit on the prompt production of $X(3872)$ through the decay
$X(3872)\rightarrow \gamma J/\psi$.
\end{abstract}
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