X (3872) production from reactions involving D and D* mesons

Abstract

In this proceeding we show the results found for the cross sections of the processes D → πX(3872), *D → πX(3872) and *D* → πX(3872), information needed for calculations of the X (3872) abundance in heavy ion collisions. Our formalism is based on the generation of X(3872) from the interaction of the hadrons 0D*0 — c.c, D−D*+ — c.c and D-sD*+s — c.c. The evaluation of the cross section associated with processes having D* meson(s) involves an anomalous vertex, X*D*, which we have determined by considering triangular loops motivated by the molecular nature of X (3872). We find that the contribution of this vertex is important. Encouraged by this finding we estimate the X*D* coupling, which turns out to be 1.95 ± 0.22. We then use it to obtain the cross section for the reaction *D* → πX and find that the X*D* vertex is also relevant in this case. We also discuss the role of the charged components of X in the determination of the production cross sections.