$Z_c(3900)$ as a tetraquark state: decay width in QCD sum rules

Abstract

Supposing the $Z_c^{+}(3900)$ as a charged partner of the X(3872), we use the QCD sum rules techinques in order to obtain the coupling constants of the $Z_c^{+}J/\psi {\pi }^{+}$, $Z_c^{+}{\eta }_c{\rho }^{+}$ and $Z_c^{+}{D}^{+}{\bar{D}}^{\ast }$ vertices and the corresponding decay width of these channels. We considered that the $Z_c(3900)$ can be described by a tetraquark current with the $J^{PC}=1^{+-}$ quantum numbers. As a result, we obtained a decay width value in good agreement with the experimental values reported by BESIII and Belle collaborations.

Comments: 6 pages, 2 figures. To appear in the proceedings of The 6th International Workshop on Charm Physics (CHARM 2013)