Analysis of strong decays of the $Z_c(4600)$ with the QCD sum rules

Abstract

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 $\Gamma (Z_c^{-}\to J/\psi {\pi }^{-})=41.4_{-14.9}^{+20.5}\mathrm{MeV}$, $\Gamma (Z_c^{-}\to {\eta }_c{\rho }^{-})=41.6_{-22.2}^{+32.7}\mathrm{MeV}$, $\Gamma (Z_c^{-}\to J/\psi a_0^{-}(980))=10.2_{-6.7}^{+11.3}\mathrm{MeV}$, $\Gamma (Z_c^{-}\to {\chi }_{c0}{\rho }^{-})=3.5_{-3.0}^{+6.7}\mathrm{MeV}$, $\Gamma (Z_c^{-}\to D^{\ast 0}{D}^{\ast -})=39.5_{-19.3}^{+29.6}\mathrm{MeV}$, $\Gamma (Z_c^{-}\to D^0{D}^{-})=6.6_{-3.0}^{+4.6}\mathrm{MeV}$ and $\Gamma (Z_c^{-}\to D^{\ast 0}{D}^{-})=1.0_{-0.6}^{+1.0}\mathrm{MeV}$ can be confronted to the experimental data in the future to diagnose the nature of the $Z_c(4600)$.

Comments: 13 pages, 12 figures. arXiv admin note: text overlap with arXiv:1901.02177