A search for prompt $\chi_{c}$ and $X(3872)$ production in $e^+e^-$ annihilations

A search for prompt $\chi_{c}$ and $X(3872)$ production in $e^+e^-$ annihilations is performed using 386 fb$^{-1}$ of data collected around a center-of-mass energy $\sqrt{s} \approx 10.6$ GeV with the BaBar detector. The $\chi_{c}$ and $X(3872)$ candidates are reconstructed using their radiative decay $\gamma J/\psi$ with $J/\psi\rightarrow e^+e^-$ or $\mu^+\mu^-$. We present preliminary results.