X(3872) and Other Possible Heavy Molecular States

Abstract

We perform a systematic study of the possible molecular states composed of a pair of heavy mesons such as $D\bar{D}$, $D^{\ast }\bar{D}$, $D^{\ast }{\bar{D}}^{\ast }$ in the framework of the meson exchange model. The exchanged mesons include the pseudoscalar, scalar and vector mesons. Through our investigation, we find that (1) the structure X(3764) is not a molecular state; (2) There exists strong attraction in the range $r<1$ fm for the $D^{\ast }{\bar{D}}^{\ast }$ system with $J=0,1$. If future experiments confirm $Z^{+}(4051)$ as a loosely bound molecular state, its quantum number is probably $J^P=0^{+}$. Its partner state ${\Phi }^{\ast \ast 0}$ may be searched for in the ${\pi }^0{\chi }_{c1}$ channel; (3) The vector meson exchange provides strong attraction in the $D^{\ast }\bar{D}$ channel together with the pion exchange. A bound state solution exists with a reasonable cutoff parameter $\Lambda \sim 1.4$ GeV. X(3872) may be accommodated as a molecular state dynamically although drawing a very definite conclusion needs further investigation; (4) The $B^{\ast }\bar{B}$ molecular state exists.

21 pages, 17 tables, 11 figures. Typos corrected

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Cited by in corpus (174)

• Hadronic molecules
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• Pentaquark and Tetraquark states
• Heavy-Quark QCD Exotica
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• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• The possible hidden-charm molecular baryons composed of anti-charmed meson and charmed baryon
• Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks
• A survey of heavy-heavy hadronic molecules
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• $Z_b(10610{)}^{\pm }$ and $Z_b(10650{)}^{\pm }$ as the $B^{\ast }\bar{B}$ and $B^{\ast }{\bar{B}}^{\ast }$ molecular states
• An overview of $XYZ$ new particles
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• The Vector and Axial-Vector Charmonium-like States
• Coupled-channel analysis of the possible $D^{(\ast )}{D}^{(\ast )}$, ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{\bar{B}}^{(\ast )}$ molecular states
• ${\Lambda }_{c}N$ bound states revisited
• Y(4143) is probably a molecular partner of Y(3930)
• Heavy-quark spin and flavour symmetry partners of the X(3872) revisited: what can we learn from the one boson exchange model?
• Prediction of an $I=1$ $D{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(3900)$, $Z_c(3885)$
• QCD Sum Rules Approach to the $X,Y$ and $Z$ States
• The hidden charm pentaquark states and ${\Sigma }_c{\bar{D}}^{(\ast )}$ interaction in chiral perturbation theory
• X(3872) as a molecular DD* state in a potential model
• Exotic $QQ\bar{q}\bar{q}$, $QQ\bar{q}\bar{s}$ and $QQ\bar{s}\bar{s}$ states
• Isospin breaking, coupled-channel effects, and X(3872)
• $X_0(2866)$ as a $D^{\ast }{\bar{K}}^{\ast }$ molecular state
• $Z_b(10610)$ and $Z_b(10650)$ structures produced by the initial single pion emission in the ${\rm Y}(5S)$ decays
• Study of X(3915) --> J/ψω in two-photon collisions
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• Could $Z_b(10610)$ be a $B^{\ast }\bar{B}$ molecular state?
• Heavy-light diquark masses from QCD sum rules and constituent diquark models of tetraquarks
• Possible Deuteron-like Molecular States Composed of Heavy Baryons
• Deriving the existence of $B{\bar{B}}^{\ast }$ bound states from the X(3872) and Heavy Quark Symmetry
• Employing spin symmetry to disentangle different models for the XYZ states
• Charged Exotic Charmonium States
• Hidden beauty molecules within the local hidden gauge approach and heavy quark spin symmetry
• Possible strange hidden-charm pentaquarks from ${\Sigma }_c^{(\ast )}{\bar{D}}_s^{\ast }$ and ${\Xi }_c^{{(}^{\prime },\ast )}{\bar{D}}^{\ast }$ interactions
• Predicted charged charmonium-like structures in the hidden-charm dipion decay of higher charmonia
• Hadron interaction with heavy quarkonia
• Exotic mesons with hidden bottom near thresholds
• $D{D}^{\ast }$ potentials in chiral perturbation theory and possible molecular states
• Spectroscopy of the hidden-charm $[qc][\bar{q}\bar{c}]$ and $[sc][\bar{s}\bar{c}]$ tetraquarks
• Hadronic Molecular States Composed of Heavy Flavor Baryons
• $X(4140)$, $X(4270)$, $X(4500)$ and $X(4700)$ and their $cs\bar{c}\bar{s}$ tetraquark partners
• $\{Q\bar{q}\}\{{\bar{Q}}^{{(}^{\prime })}q\}$ molecular states
• Study of $B{\bar{B}}^{\ast }$ and $B^{\ast }{\bar{B}}^{\ast }$ interactions in $I=1$ and relationship to the $Z_b(10610)$, $Z_b(10650)$ states
• The Spin-orbit force, recoil corrections and possible $B{\bar{B}}^{\ast }$ and $D{\bar{D}}^{\ast }$ molecular states
• The observed charmed hadron ${\Lambda }_c(2940{)}^{+}$ and the $D^{\ast }N$ interaction
• The hidden charm decay of Y(4140) by the rescattering mechanism
• Possible interpretation of the $Z_b$(10610) and $Z_b$(10650) in a chiral quark model
• Understanding the internal structures of the $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$
• Charged bottomonium-like states $Z_b(10610)$ and $Z_b(10650)$ and the ${\rm Y}(5S)\to {\rm Y}(2S){\pi }^{+}{\pi }^{-}$ decay
• Novel Charmonium and Bottomonium Spectroscopies due to Deeply Bound Hadronic Molecules from Single Pion Exchange
• $Z_b/Z_b^{\prime }\to {\rm Y}\pi$ and $h_b\pi$ decays in intermediate meson loops model
• Molecular states from $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{D}^{(\ast )}/{\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions
• Zc(4200)+ decay width as a charmonium-like tetraquark state
• Radiative E1 decays of X(3872)
• QCD Sum-Rule Interpretation of X(3872) with $J^{PC}=1^{++}$ Mixtures of Hybrid Charmonium and $\bar{D}{D}^{\ast }$ Molecular Currents
• $\{Q\bar{s}\}\{{\bar{Q}}^{{(}^{\prime })}s\}$ molecular states in QCD sum rules
• Quark mass dependence of the X(3872) binding energy
• Hidden-Charm Tetraquarks and Charged Zc States
• Using Line Shapes to Discriminate between Binding Mechanisms for the X(3872)
• The meson-exchange model for the $\Lambda \bar{\Lambda }$ interaction
• Deuteron-like states composed of two doubly charmed baryons
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• The bound state problem of S-wave heavy quark meson-aitimeson systems
• Hadronic molecules with both open charm and bottom
• QCD sum rule calculation for the charmonium-like structures in the J/psi phi and J/psi omega invariant mass spectra
• The open-charm radiative and pionic decays of molecular charmonium Y(4274)
• Novel charmonium-like structures in the $J/\psi \varphi$ and $J/\psi \omega$ invariant mass spectra
• Are the $X$(4160) and $X$(3915) charmonium states?
• Doubly charmed molecular pentaquarks
• Establishing the heavy quark spin and light flavor molecular multiplets of the $X(3872)$, $Z_c(3900)$ and $X(3960)$
• X(3872) Production in Relativistic Heavy-Ion Collisions
• Strong decays of the $XYZ$ states
• Exploring the resonances $X(4140)$ and $X(4274)$ through their decay channels
• Axial meson exchange and the $Z_c(3900)$ and $Z_{cs}(3985)$ resonances as heavy hadron molecules
• Exotic double-charm molecular states with hidden or open strangeness and around $4.5\sim 4.7$ GeV
• The molecular systems composed of the charmed mesons in the $H\bar{S}+h.c.$ doublet
• Hidden and doubly heavy molecular states from interactions $D_{(s)}^{(\ast )}{\bar{D}}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{\bar{B}}_s^{(\ast )}$ and $D_{(s)}^{(\ast )}{D}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{B}_s^{(\ast )}$
• Hadron spectroscopy from strangeness to charm and beauty
• $D\Xi$ and $D^{\ast }\Xi$ Molecular States from One Boson Exchange
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Investigating new type of doubly-charmed molecular tetraquarks composed of the charmed meson in $H$-doublet and the charmed meson in $T$-doublet
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• Analysis of the strong coupling constant $G_{D_s^{\ast }{D}_s\varphi }$ and the decay width of $D_s^{\ast }\to D_s\gamma$ with QCD sum rules
• Newly observed $X(4630)$: a new charmoniumlike molecule
• $D\bar{D}$ production and their interactions
• The line shape of the radiative open-charm decay of Y(4140) and Y(3930)
• Relating $D^{\ast }{\bar{D}}^{\ast }$ currents with $J^{\pi }=0^{+},1^{+}$ and $2^{+}$ to $Z_c$ states
• Study on the strong decays of $\varphi (2170)$ and a grand expectation for the future charm-tau factory
• Hidden charmed states and multibody color flux-tube dynamics
• The hidden-charm strong decays of the $Z_c$ states
• Triple-charm molecular states composed of $D^{\ast }{D}^{\ast }D$ and $D^{\ast }{D}^{\ast }{D}^{\ast }$
• New insight into the exotic states strongly coupled with the $D{\bar{D}}^{\ast }$ from the $T_{cc}^{+}$
• A new group of doubly charmed molecule with $T$-doublet charmed meson pair
• Interpretation of $Z_b(10610)$ and $Z_b(10650)$ in the ISPE mechanism and the Charmonium Counterpart
• Understanding the $0^{++}$ and $2^{++}$ charmonium(-like) states near 3.9 GeV
• Exotic B_c-like molecules in QCD Sum Rules
• $Z_b(10650)$ and $Z_b(10610)$ states in a chiral quark model
• Where are $3P$ and higher $P-$wave states in the charmonium family?
• Comprehending Isospin breaking effects of $X(3872)$ in a Friedrichs-model-like scheme
• The low-lying hidden- and double-charm tetraquark states in a constituent quark model with Instanton-induced Interaction
• Possible hadronic molecules composed of the doubly charmed baryon and nucleon
• Radiative open charm decay of the Y(3940), Z(3930), X(4160) resonances
• Bound States of the Heavy Flavor Vector Mesons and Y(4008) and $Z_1^{+}(4050)$
• Reanalysis of the mass spectrum of the scalar hidden charm and hidden bottom tetraquark states
• Probing the $XYZ$ states through radiative decays
• Chiral Perturbation Theory and the $\bar{B}\bar{B}$ Strong Interaction
• EM Decay of X(3872) as the $1{}^1{D}_2(2^{-+})$ charmonium
• Spectroscopic parameters and decays of the resonance $Z_b(10610)$
• Possible heavy molecular states composed of a pair of excited charm-strange mesons
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• Axial Vector $cc$ and $bb$ Diquark Masses from QCD Laplace Sum-Rules
• Triangle singularities in ${\bar{B}}^0\to {\chi }_{c1}{K}^{-}{\pi }^{+}$ relevant to $Z_1(4050)$ and $Z_2(4250)$
• Search for B decays to final states with the eta_c meson
• Production of hadron pairs in electron-positron annihilation near the K(+)K(-), D-Dbar, B-Bbar and Lambda(c)(+)-Lambda(c)(-) thresholds
• Predictions of the hidden-charm molecular states with four-quark component
• Heavy hadron molecules in effective field theory: the emergence of exotic nuclear landscapes
• Production of $Z_c(3900$) and $Z_c(4020)$ in $B_c$ decay
• Dynamical study of the $X$(3915) as a molecular $D^{\ast }\overline{D^{\ast }}$ state in a quark model
• Production of $Z_{cs}$ in $B$ and $B_s$ decay
• Charmonium states in a coupled-channel model
• The recoil correction and spin-orbit force for the possible $B^{\ast }{\bar{B}}^{\ast }$ and $D^{\ast }{\bar{D}}^{\ast }$ states
• New molecular candidates: X(1910), X(2200), and X(2350)
• Possible hadronic molecular states composed of $S$-wave heavy-light mesons
• Possible $D^{(\ast )}{\bar{D}}^{(\ast )}$ and $B^{(\ast )}{\bar{B}}^{(\ast )}$ molecular states in the extended constituent quark models
• X(3872) as a molecular $D{\bar{D}}^{\ast }$ state in the Bethe-Salpeter equation approach
• Strong and radiative decays of X(3872) as a hadronic molecule with a negative parity
• Double Exotic States Productions in Pion and Kaon Induced Reactions
• The $\sigma$ and $\rho$ coupling constants for the charmed and beauty mesons
• Study of charmonium and charmonium-like contributions in $B^{+}\to J/\psi \eta K^{+}$ decays
• $D^{+}{D}^{-}$ hadronic atom and its production in $pp$ and $p\bar{p}$ collisions
• Search for $Z_{s1}^{+}$ and $Z_{s2}^{+}$ strangeonium-like structures
• Possible $D\bar{D}$ and $B\bar{B}$ Molecular states in a chiral quark model
• $B_{s1}^{\ast }{B}^{\ast }K$ form factor from QCD sum rules
• hidden charm decays of $X(4014)$ in a $D^{\ast }{\bar{D}}^{\ast }$ molecule scenario
• The spin parity of $Z_c^{-}$(4100), $Z_1^{+}$(4050) and $Z_2^{+}$(4250)
• A QCD sum rules calculation of the $J/\psi D_s^{\ast }{D}_s$ strong coupling constant
• The role of electromagnetic interaction in the $X(3872)$ and its analogs
• The strong vertices of charmed mesons $D$, $D^{\ast }$ and charmonia $J/\psi$, ${\eta }_c$
• Charged charmoniumlike structures in the $e^{+}{e}^{-}\to \psi (3686){\pi }^{+}{\pi }^{-}$ process based on the ISPE mechanism
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• Probing exotic $J^{PC}$ resonances from deeply bound charmoniumlike molecules: Insights for identifying exotic hadrons
• Study of the hidden charm $D{\bar{D}}^{\ast }$ interactions in chiral effective field theory
• Study of structures and dynamical decay mechanisms for multiquark systems
• Role of the short-range dynamics in the formation of $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ hadronic molecules
• Constraining the $DD{D}^{\ast }$ three-body bound state via the $Z_c(3900)$ pole
• Mass spectra of meson molecular states for heavy and light sectors
• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
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• Possible molecules of triple-heavy pentaquarks within the extended local hidden gauge formalism
• Pseudoscalar Goldstone Bosons Scattering off Charmed Baryons with Chiral Perturbation Theory
• Charged bottomonium-like structures $Z_b(10610)$ and $Z_b(10650)$
• The ground states of hidden-charm tetraquarks and their radial excitations
• Pole trajectories from $S$- and $P$-wave $D{\bar{D}}^{\ast }$ interactions
• Discovering an Unquenched Dynamics Mechanism for Charmonium Scattering
• Production of open-charm pentaquark molecules in decay $B^0\to {\bar{D}}^{0}p\bar{p}$
• Study the Heavy Molecular States in Quark Model with Meson Exchange Interaction
• Investigating $S$-wave bound states composed of two pseudoscalar mesons
• Mixing of X and Y states from QCD Sum Rules analysis
• Few-Body Systems Composed of Heavy Quarks
• A coupled-channel perspective analysis on bottom-strange molecular pentaquarks
• Strong coupling constants of charmed and bottom mesons with light vector mesons in QCD sum rules
• Strong decays of the isovector-scalar $D^{\ast }{\bar{D}}^{\ast }$ hadronic molecule
• The X(3872) and other X,Y,Z Resonances as Hidden Charm Meson-Meson Molecules
• Prospects for observing the missing $2D$ and $1F$ charmonium states around 4 GeV
• Role of the short-range dynamics in simultaneous interpretation of $P_{cs}$ pentaqurks via ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ molecules
• Dispersive Analysis of $D$- and $B$-Meson Form Factors with Chiral and Heavy-Quark Constraints
• Insights into the exotic charged states $Z_b(10610)$ and $Z_b(10650)$ from their photoproduction off nuclei
• Molecular pentaquarks composed of a ground-state octet baryon and a $P-$wave anticharmed meson
• Electromagnetic probes revealing the inner structure of the ${\Lambda }_c(2940)$
• The possible $K{\bar{K}}^{\ast }$ and $D{\bar{D}}^{\ast }$ bound and resonance states by solving Schrodinger equation