Two-body strong decays of the pseudoscalar hidden-charm tetraquark states via the QCD sum rules

Abstract

In this work, we study the properties of the pseudoscalar hidden-charm tetraquark states by analyzing their two-body strong decays via the QCD sum rules based on rigorous quark-hadron duality. We take into account the vacuum condensates up to dimension 5 at the QCD side, and obtain the hadronic coupling constants. At last, we obtain the total decay widths $Γ_{Z_{c}^{-}} = 326.197^{+4.255}_{-3.106}$ MeV and $Γ_{Z_{c}^{+}} = 91.835^{+0.96}_{-0.76}$ MeV, respectively, where the $Z_{c}^{+}$($J^{PC}=0^{-+}$) and $Z_{c}^{-}$($J^{PC}=0^{--}$) denote the pseudoscalar hidden-charm tetraquarks with the diquark-antidiquark structures $[uc]_{A}[\bar{d}\bar{c}]_{V}-[uc]_{V}[\bar{d}\bar{c}]_{A}$ and $[uc]_{A}[\bar{d}\bar{c}]_{V}+[uc]_{V}[\bar{d}\bar{c}]_{A}$, respectively.

Figures (1)

• Figure 1: The hadronic coupling constants with variations of the Borel parameters, where the $A$ and $B$ denote the hadronic coupling constants $G_{\chi_{c1}\rho Z_c^{-}}$ and$G_{\chi_{c0}\pi Z_c^{+}}$, respectively.