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 $Z_c(4600)$.

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

References in corpus (7)

• Observation of a new charged charmoniumlike state in B -> J/psi K pi decays
• $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ and $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}{\pi }^0$ decay widths from QCD sum rules
• Treating $Z_c(3900)$ and $Z(4430)$ as the ground-state and first radially excited tetraquarks
• The decay width of the $Z_c(3900)$ as an axialvector tetraquark state in solid quark-hadron duality
• Analysis of the mass and width of the $X(4140)$ as axialvector tetraquark state
• Strong decays of the $Y(4660)$ as a vector tetraquark state in solid quark-hadron duality
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Cited by in corpus (14)

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• Vector hidden-bottom tetraquark candidate: $Y(10750)$
• Axialvector tetraquark candidates for the $Z_c(3900)$, $Z_c(4020)$, $Z_c(4430)$, $Z_c(4600)$
• Triply-charmed dibaryon states or two-baryon scattering states from the QCD sum rules?
• The hadronic coupling constants of the lowest hidden-charm pentaquark state with the QCD sum rules in rigorous quark-hadron duality
• The decay widths of the $Z_{cs}(3985/4000)$ based on rigorous quark-hadron duality
• The strange cousin of the $Z_c(4020/4025)$ as tetraquark state
• Triply-charmed hexaquark states with the QCD sum rules
• Does vacuum saturation work for the higher dimensional vacuum condensates in the QCD sum rules?
• Strong decays of the $P_c(4312)$ and its isospin cousin via the QCD sum rules
• Three-body strong decays of the $Y(4230)$ via the light-cone QCD sum rules
• Strong decays of the $P_{cs}(4338)$ and its high isospin cousin via the QCD sum rules