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We show the results obtained for the cross sections of the processes $\bar DD$, $\bar D^* D$, $\bar D^* D^*\to\pi X(3872)$, information which is necessaryto determine the $X(3872)$ abundance in heavy ion collisions. Our formalism isbased on the generation of $X(3872)$ from the interaction of the hadrons $\barD^0 D^{*0} - \textrm{c.c}$, $D^- D^{*+} - \textrm{c.c}$ and $D^-_s D^{*+}_s -\textrm{c.c}$ an the calculation of the $X\bar D^* D^*$ anomalous vertexconsidering $X(3872)$ as a molecule of the above hadrons channels.

$X(3872)$ production in high energy heavy ion collisions