Is X(3872) a molecule?

Abstract

We show that the literature on pion exchange between charm and bottom mesons is inconsistent. We derive the formalism explicitly, expose differences between papers in the literature and clarify the implications. We show that the X(3872) can be a bound state but that results are very sensitive to a poorly constrained parameter. We confirm that bound states in the B Bbar sector are possible. The circumstances whereby exotic combinations can bind with cc or bb quantum numbers are explored.

15 pages, 3 figures

References in corpus (10)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Isospin breaking of the narrow charmonium state of Belle at 3872 MeV as a deuson
• From the Deuteron to Deusons, an Analysis of Deuteronlike Meson-Meson Bound States
• Short Range Structure in the X(3872)
• The D*0 D0bar threshold resonance
• The X(3872) boson: Molecule or charmonium
• Is X(3872) {\sl Really} a Molecular State?
• Estimate for the X(3872) to gamma J/psi decay width
• Dynamics study of $Z^{+}(4430)$ and X(3872) in molecular picture

Cited by in corpus (148)

• The hidden-charm pentaquark and tetraquark states
• Heavy-Quark QCD Exotica
• New Exotic Meson and Baryon Resonances from Doubly-Heavy Hadronic Molecules
• Couplings in coupled channels versus wave functions: application to the X(3872) resonance
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Are Y(4260) and {\rm Z${}_2^{+}$(4250)} ${\mathrm{D}}_1\mathrm{D}$ or ${\mathrm{D}}_0{\mathrm{D}}^{\ast }$ Hadronic Molecules?
• Exotic hadrons: review and perspectives
• An overview of $XYZ$ new particles
• Phenomenology of $P_c(4380{)}^{+}$, $P_c(4450{)}^{+}$ and related states
• 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
• Spectrum of fully-heavy tetraquarks from a diquark+antidiquark perspective
• Production of the X(3872) in charmonia radiative decays
• Interpretation of the X(3872) as a charmonium state plus an extra component due to the coupling to the meson-meson continuum
• X(3872) as a hadronic molecule and its decays to charmonium states and pions
• Could the near-threshold $XYZ$ states be simply kinematic effects?
• 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
• Quark structure of the $X(3872)$ and ${\chi }_b(3P)$ resonances
• J/psi gamma and psi(2S) gamma decay modes of the X(3872)
• Interplay of quark and meson degrees of freedom in a near-threshold resonance: multi-channel case
• Molecular Interpretation of the $P_c(4440)$ and $P_c(4457)$ States
• Isospin breaking, coupled-channel effects, and X(3872)
• A case for hidden $b\bar{b}$ tetraquarks based on $e^{+}{e}^{-}\to b\bar{b}$ cross section between $\sqrt{s}=10.54$ and 11.20 GeV
• Heavy-light diquark masses from QCD sum rules and constituent diquark models of tetraquarks
• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
• Three-body $D\bar{D}\pi$ dynamics for the X(3872)
• Nature of X(3872) from data
• 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
• 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
• Interpreting the $X(5568)$
• Quark model description of the tetraquark state X(3872) in a relativistic constituent quark model with infrared confinement
• Dynamics of Hadronic Molecule in One-Boson Exchange Approach and Possible Heavy Flavor Molecules
• Charmonium spectroscopy above thresholds
• Exotic mesons with hidden bottom near thresholds
• X(3872) in the molecular model
• Spectroscopy of the hidden-charm $[qc][\bar{q}\bar{c}]$ and $[sc][\bar{s}\bar{c}]$ tetraquarks
• The line shapes of the $Z_b(10610)$ and $Z_b(10650)$ in the elastic and inelastic channels revisited
• The $X(3872)\to J/\psi \gamma$ decay in the $D{\bar{D}}^{\ast }$ molecular picture
• $\{Q\bar{q}\}\{{\bar{Q}}^{{(}^{\prime })}q\}$ molecular states
• Heavy molecules and one-$\sigma /\omega$-exchange model
• Possible Molecular States of $D_s^{\ast }{\bar{D}}_s^{\ast }$ System and Y(4140)
• X(3872) as a hybrid state of the charmonium and the hadronic molecule
• On the possibility of Deeply Bound Hadronic Molecules from single Pion Exchange
• Novel Charmonium and Bottomonium Spectroscopies due to Deeply Bound Hadronic Molecules from Single Pion Exchange
• QCD Sum-Rule Interpretation of X(3872) with $J^{PC}=1^{++}$ Mixtures of Hybrid Charmonium and $\bar{D}{D}^{\ast }$ Molecular Currents
• Quark mass dependence of the X(3872) binding energy
• Remarks on the study of the X(3872) from Effective Field Theory with Pion-Exchange Interaction
• $\{Q\bar{s}\}\{{\bar{Q}}^{{(}^{\prime })}s\}$ molecular states in QCD sum rules
• Prediction of triple-charm molecular pentaquarks
• Using Line Shapes to Discriminate between Binding Mechanisms for the X(3872)
• A Phenomenological analysis on isospin-violating decay of $X(3872)$
• A Refined Analysis on the $X(3872)$ Resonance
• Towards the quark mass dependence of $T_{cc}^{+}$ from lattice QCD
• Pentaquarks with hidden charm as hadroquarkonia
• Threshold corrections of ${\chi }_{\mathrm{c}}(2P)$ and ${\chi }_{\mathrm{b}}(3P)$ states and $J/\psi \rho$ and $J/\psi \omega$ transitions of the $X(3872)$ in a coupled-channel model
• Hadronic molecules with both open charm and bottom
• Nature of the doubly-charmed tetraquark $T_{cc}^{+}$ in a constituent quark model
• Phenomenology of Relativistic $3\to 3$ Reaction Amplitudes within the Isobar Approximation
• Exotic resonances due to $\eta$ exchange
• Doubly charmed molecular pentaquarks
• Delicate interplay between the D0-D*0, rho0-J/psi, and omega-J/psi channels in the X(3872) resonance
• Establishing the heavy quark spin and light flavor molecular multiplets of the $X(3872)$, $Z_c(3900)$ and $X(3960)$
• Strong decays of the $XYZ$ states
• Exotic Doubly Charmed Ds0*(2317)D and Ds1*(2460)D* Molecules
• Heavy Baryons and their Exotics from Instantons in Holographic QCD
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• Exotic double-charm molecular states with hidden or open strangeness and around $4.5\sim 4.7$ GeV
• Investigating new type of doubly-charmed molecular tetraquarks composed of the charmed meson in $H$-doublet and the charmed meson in $T$-doublet
• $P_c(4380)$ in a constituent quark model
• ${\mathrm{Z}}^{+}(4430)$ and Analogous Heavy Flavor States
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• Binding energy of the $X(3872)$ at unphysical pion masses
• Prediction of an exotic state around 4240 MeV with $J^{PC}=1^{-+}$ as C-parity partner of Y(4260) in molecular picture
• Holographic Heavy-Light Chiral Effective Action
• Heavy hadron spectroscopy: a quark model perspective
• A new group of doubly charmed molecule with $T$-doublet charmed meson pair
• Anticharmed strange pentaquarks from the one-boson-exchange model
• Exotic B_c-like molecules in QCD Sum Rules
• Near-threshold states in coupled $D{D}^{\ast }-D^{\ast }{D}^{\ast }$ scattering from lattice QCD
• Heavy Exotic Molecules with Charm and Bottom
• Heavy-Light Mesons in Chiral AdS/QCD
• Heavy Holographic Exotics: Tetraquarks as Efimov States
• Heavy and Strange Holographic Baryons
• X(3872) in an unquenched quark model
• $T_{cc}^{+}$ and $X(3872)$ with the complex scaling method and $DD(\bar{D})\pi$ three-body effect
• Probing the $XYZ$ states through radiative decays
• Chiral Perturbation Theory and the $\bar{B}\bar{B}$ Strong Interaction
• Bound States of the Heavy Flavor Vector Mesons and Y(4008) and $Z_1^{+}(4050)$
• ${\eta }_{\mathrm{c}}$- and $J/\psi$-isoscalar meson bound states in the hadro-charmonium picture
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• $X(3872)$, $X(4014)$, and their bottom partners at finite temperature
• Dimesonic states with the heavy-light flavour mesons
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• Precision Measurement of the Mass of the $D^{\ast 0}$ Meson and the Binding Energy of the $X(3872)$ Meson as a $D^0\overline{D^{\ast 0}}$ Molecule
• Axial Vector $cc$ and $bb$ Diquark Masses from QCD Laplace Sum-Rules
• Quark structure of the ${\chi }_{\mathrm{c}}(3P)$ and $X(4274)$ resonances and their strong and radiative decays
• Bound states in the B-matrix formalism for the three-body scattering
• Predictions of the hidden-charm molecular states with four-quark component
• The impact of $S$-wave thresholds $D_{s1}{\bar{D}}_s+c.c.$ and $D_{s0}{\bar{D}}_s^{\ast }+c.c.$ on vector charmonium spectrum
• Angular momentum coefficients for meson strong decay and unquenched quark models
• Charmonium states in a coupled-channel model
• 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
• Tetraquarks with charm in coupled-channel formalism
• One-pion exchange in the X(3872) revisited
• Strong and radiative decays of X(3872) as a hadronic molecule with a negative parity
• Spectrum of the molecular hexaquarks
• Possible bound state of the double heavy meson-baryon system
• Probing double hadron resonances by the complex scaling method
• The role of electromagnetic interaction in the $X(3872)$ and its analogs
• On Some properties of Di-hadronic states
• Is $J^{PC}=3^{-+}$ molecule possible?
• Molecular states in $D_s^{(\ast )+}{\Xi }_c^{{(}^{\prime },\ast )}$ systems
• Study of the hidden charm $D{\bar{D}}^{\ast }$ interactions in chiral effective field theory
• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
• Constraining the $DD{D}^{\ast }$ three-body bound state via the $Z_c(3900)$ pole
• Role of the short-range dynamics in the formation of $D^{(\ast )}{\bar{D}}^{(\ast )}/B^{(\ast )}{\bar{B}}^{(\ast )}$ hadronic molecules
• Are there near-threshold Coulomb-like Baryonia?
• Masses of tetraquark states in the hidden charm sector above $D-D^{\ast }$ threshold
• Probing the structure of $X(3872)$ in photoproduction
• The $D{\bar{D}}^{\ast }$ interaction with isospin zero in an extended hidden gauge symmetry approach
• Heavy Baryons and Exotics Spectrum
• Tetraquark mass relations in quark and diquark models
• Possible molecules of triple-heavy pentaquarks within the extended local hidden gauge formalism
• Study the Heavy Molecular States in Quark Model with Meson Exchange Interaction
• Hidden-Charm Tetraquarks in a Mixture Model: Coupled-Channel Analysis with $c\bar{c}$ and Hadronic Molecular Components
• ${\chi }_{c1}(2p)$: an overshadowed charmoniumlike resonance
• Mixing of X and Y states from QCD Sum Rules analysis
• A Study of Degenerate Two-Body and Three-Body Coupled-Channel Systems -Renormalized Effective AGS Equations and Near-Threshold Resonances-
• Coupled-channel scattering of $DD,D{D}^{\ast }$ and $D^{\ast }{D}^{\ast }$ in isospin-$1$ from lattice QCD
• Diquark-Antidiquark Interpretation of Mesons
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• A possible NN*(1440) quasi-molecular state
• The nature of near-threshold XYZ states
• Threshold Effects in Heavy Quarkonium Spectroscopy and Decays
• Low-lying exotic mesons in the coupled-channel formalism
• Hidden and open charm at Belle (and elsewhere)
• Unified study of $B_s^0\to X(3872){\pi }^{+}{\pi }^{-}(K^{+}{K}^{-})$ and $B_s^0\to \psi (2S){\pi }^{+}{\pi }^{-}(K^{+}{K}^{-})$ processes
• Threshold effects in heavy quarkonium spectroscopy
• Electromagnetic probes revealing the inner structure of the ${\Lambda }_c(2940)$
• Role of the short-range dynamics in simultaneous interpretation of $P_{cs}$ pentaqurks via ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}^{(\ast )}$ molecules
• The possible $K{\bar{K}}^{\ast }$ and $D{\bar{D}}^{\ast }$ bound and resonance states by solving Schrodinger equation
• Molecular pentaquarks composed of a ground-state octet baryon and a $P-$wave anticharmed meson