In this article, we tentatively assign the $Z_c(4600)$ to be the $[dc]_P[\bar{ u}\bar{ c}]_A-[dc]_A[\bar{ u}\bar{ c}]_P$ type vector tetraquark state and study its two-body strong decays with the QCD sum rules based on solid quark-hadron duality, the predictions for the partial decay widths $\Gamma(Z_c^-\to J/\psi \pi^-)=41.4^{ +20.5}_{ -14.9}\,\rm{ MeV}$, $\Gamma(Z_c^-\to \eta_c\rho^-)=41.6^{ +32.7}_{ -22.2}\,\rm{ MeV}$, $\Gamma(Z_c^-\to J/\psi a_0^-(980))=10.2^{ +11.3}_{ -6.7}\,\rm{ MeV}$, $\Gamma(Z_c^-\to \chi_{ c0}\rho^-)=3.5^{ +6.7}_{ -3.0}\,\rm{ MeV}$, $\Gamma(Z_c^-\to D^{ *0} D^{ *-})=39.5^{ +29.6}_{ -19.3}\,\rm{ MeV}$, $\Gamma(Z_c^-\to D^{ 0} D^{ -})=6.6^{ +4.6}_{ -3.0}\,\rm{ MeV}$ and $\Gamma(Z_c^-\to D^{ *0} D^{ -})=1.0^{ +1.0}_{ -0.6}\,\rm{ MeV}$ can be confronted to the experimental data in the future to diagnose the nature of the $Z_c(4600)$.
Categories: hep-ph