Mass spectra of Zc and Zb exotic states as hadron molecules

Abstract

We construct charmonium-like and bottomonium-like molecular interpolating currents with quantum numbers J(PC)=1(+-) in a systematic way, including both color singlet-singlet and color octet-octet structures. Using these interpolating currents, we calculate two-point correlation functions and perform QCD sum rule analyses to obtain mass spectra of the charmonium-like and bottomonium-like molecular states. Masses of the charmonium-like q_bar c c_bar q molecular states for these various currents are extracted in the range 3.85-4.22 GeV, which are in good agreement with observed masses of the Zc resonances. Our numerical results suggest a possible landscape of hadronic molecule interpretations of the newly-observed Zc states. Mass spectra of the bottomonium-like q_bar b b_bar q molecular states are similarly obtained in the range 9.92-10.48 GeV, which support the interpretation of the Zb(10610) meson as a molecular state within theoretical uncertainties. Possible decay channels of these molecular states are also discussed.

15 pages, 3 figures, 2 tables, accepted by PRD

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Cited by in corpus (44)

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• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
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• QCD sum rule study of hidden-charm pentaquarks
• Nonrelativistic model of tetraquarks and predictions for their masses from fits to charmed and bottom meson data
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• XYZ-SU3 Breakings from Laplace Sum Rules at Higher Orders
• Possible $B^{(\ast )}\bar{K}$ hadronic molecule state
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• The low-lying hidden- and double-charm tetraquark states in a constituent quark model with Instanton-induced Interaction
• Electromagnetic form factors of the $B_c$-like tetraquarks: molecular and diquark-antidiquark pictures
• Magnetic dipole moment of $Z_b(10610)$ in light-cone QCD
• Spectroscopic parameters and decays of the resonance $Z_b(10610)$
• Fully open-flavor tetraquark states $bc\bar{q}\bar{s}$ and $sc\bar{q}\bar{b}$ with $J^P=0^{+},1^{+}$
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• Possible hadronic molecular states composed of $S$-wave heavy-light mesons
• Double Exotic States Productions in Pion and Kaon Induced Reactions
• Decay properties of the $Z_c(3900)$ through the Fierz rearrangement
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• Magnetic and quadrupole moments of the $Z_c(4020{)}^{+}$, $Z_c(4050{)}^{+}$, and $Z_c(4600{)}^{+}$ states in the diquark-antidiquark picture
• Universal non-resonant explanation to charmoniumlike structures $Z_c(3885)$ and $Z_c(4025)$
• Analysis of the ${\overline{\Xi }}_{cc}{\Xi }_{cc}$ hexaquark molecular state with the QCD sum rules
• Study of the $B^{-}\to K^{-}\eta {\eta }_c$ decay due to the $D\bar{D}$ bound state
• $Z_c$ and $Z_{cs}$ systems with operator mixing at NLO in QCD sum rules
• The ground states of hidden-charm tetraquarks and their radial excitations
• Mixing of X and Y states from QCD Sum Rules analysis
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• Investigation of the $X(4020)$ peak in the $D^{\ast }{\bar{D}}^{\ast }$ and $\pi h_c$ channels
• Revisit the $Z_c(4025)$ structure observed by BESIII in the $e^{+}{e}^{-}\to (D^{\ast }{\bar{D}}^{\ast }{)}^{\pm ,0}{\pi }^{\mp ,0}$ reactions at $\sqrt{s}=4.26$ GeV