Could $Z_c(3900)$ be a $I^G{J}^P=1^{+}{1}^{+}$ $D^{\ast }\bar{D}$ molecular state?

Abstract

We investigate the nature of the recently observed narrow resonance $Z_c(3900)$, which is assumed to be a $D^{\ast }\bar{D}$ molecular state with quantum numbers $I^G{J}^P=1^{+}{1}^{+}$. Using QCD sum rules, we consider contributions up to dimension eight in the operator product expansion and work at the leading order in ${\alpha }_s$. The mass we arrived at is $(3.88 \pm 0.17) \mbox{GeV}$, which coincides with the mass of $Z_c(3900)$.

8 pages, 5 figures. accepted by JPG. arXiv admin note: substantial text overlap with arXiv:1107.1343

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• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
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• XYZ-like Spectra from Laplace Sum Rule at N2LO in the Chiral Limit
• The decay width of the $Z_c(3900)$ as an axialvector tetraquark state in solid quark-hadron duality
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• $Z_c(3900)$ as a $D{\bar{D}}^{\ast }$ molecule from the pole counting rule
• Search for exclusive photoproduction of Z${}_c^{\pm }$(3900) at COMPASS
• Radiative and dilepton decays of the hadronic molecule Zc(3900)+
• The strong decay patterns of $Z_c$ and $Z_b$ states in the relativized quark model
• Axialvector tetraquark candidates for the $Z_c(3900)$, $Z_c(4020)$, $Z_c(4430)$, $Z_c(4600)$
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• Two-particle contributions and nonlocal effects in the QCD sum rules for the axialvector tetraquark candidate $Z_c(3900)$
• The magnetic moment of $Z_c(3900)$ as an axial-vector molecular state
• Molecular states with hidden charm and strange in QCD Sum Rules
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• Charged charmoniumlike structures in the $e^{+}{e}^{-}\to \psi (3686){\pi }^{+}{\pi }^{-}$ process based on the ISPE mechanism
• The study of exotic state $Z_c^{\pm }(3900)$ decaying to $J/\psi {\pi }^{\pm }$ in the $pp$ collisions at $\sqrt{s}$ = 1.96, 7, and 13 TeV
• Radially excited axial mesons and the enigmatic $Z_c$ and $Z_b$ in a coupled-channel model
• Properties of $Z_c(3900)$ tetraquark in a cold nuclear matter
• Study on decays of $Z_c(4020)$ and $Z_c(3900)$ into $h_c+\pi$
• $Z_c$ and $Z_{cs}$ systems with operator mixing at NLO in QCD sum rules
• Radiative decays of the neutral $Z_c(3900)$ and $Z_c(4020)$
• The possible $B\pi$ molecular state and its radiative decay
• Photon-induced production of the exotic charged charmonium-like state $Z_c(3900)$ off nuclear targets and its internal structure
• Partial Wave Analysis of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ and Cross Section Measurement of $e^{+}{e}^{-}\to {\pi }^{\pm }{Z}_c(3900{)}^{\mp }$ from 4.1271 to 4.3583 GeV
• Two-body strong decays of the pseudoscalar hidden-charm tetraquark states via the QCD sum rules