$Z_{c}(3900)$ 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 $Z_{c}^{+} \, J/ψ\, π^{+}$, $Z_{c}^{+}\, η_{c}\, ρ^{+}$ and $Z_{c}^{+}\,D^{+}\, \bar{D}^{*}$ 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.