Search for $X\to J/\psi \omega$ in the B decays, $B\to XK$

There is still much uncertainty as to the nature of the X(3872) observed by Belle in 2003. It may possibly be a charmonium state, a bound state of charmed mesons or a hybrid state of gluons and charm quarks. The decay $X\rightarrow J/\phi \omega$ might be a favored decay if the X(3872) is actually a bound state of two charmed mesons. We report a search for $X(3872) \rightarrow J/\psi \omega$ in $B \rightarrow XK$ decays using 205 $fb^{-1}$ collected on the $\Upsilon (4S)$ resonance by the BaBar detector at the Pep-II asymmetric e+e- storage ring.