Light Flavour and Heavy Quark Spin Symmetry in Heavy Meson Molecules

Abstract

We propose an effective field theory incorporating light SU(3)-flavour and heavy quark spin symmetry to describe charmed meson-antimeson bound states. At lowest order the effective field theory entails a remarkable simplification: it only involves contact range interactions among the heavy meson and antimeson fields. We show that the isospin violating decays of the X(3872) can be used to constraint the interaction between the $D$ and a ${\bar{D}}^{\ast }$ mesons in the isovector channel. As a consequence, we can rule out the existence of a isovector partner of the X(3872). If we additionally assume that the X(3915) and Y(4140) are $D^{\ast }{\bar{D}}^{\ast }$ and $D_s^{\ast }{\bar{D}}_s^{\ast }$ molecular states, we can determine the full spectrum of molecular states with isospin I=0, 1/2 and 1.

14 pages, final version (published in PRD)

References in corpus (13)

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• Hadronic molecule structure of the Y(3940) and Y(4140)
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• Where is the χ_{c0}(2P)?
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Cited by in corpus (111)

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• Emergence of a complete heavy-quark spin symmetry multiplet: seven molecular pentaquarks in light of the latest LHCb analysis
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• A survey of heavy-heavy hadronic molecules
• Combining heavy quark spin and local hidden gauge symmetries in the dynamical generation of hidden charm baryons
• Coupled-channel approach to $T_{cc}^{+}$ including three-body effects
• Weak decays of heavy hadrons into dynamically generated resonances
• QCD Sum Rules Approach to the $X,Y$ and $Z$ States
• Prediction of an $I=1$ $D{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(3900)$, $Z_c(3885)$
• $T_{cc}^{+}$ coupled channel analysis and predictions
• Strong decays of the latest LHCb pentaquark candidates in hadronic molecule pictures
• $Z_c(3900)$: what has been really seen?
• Employing spin symmetry to disentangle different models for the XYZ states
• Heavy-quark spin symmetry partners of the $X(3872)$ revisited
• Baryon states with open beauty in the extended local hidden gauge approach
• Hidden beauty molecules within the local hidden gauge approach and heavy quark spin symmetry
• The $P_{cs}(4459)$ pentaquark from a combined effective field theory and phenomenological perspective
• Strange molecular partners of the $Z_c(3900)$ and $Z_c(4020)$
• Dynamically generated $J^P=1/2^{-}(3/2^{-})$ singly charmed and bottom heavy baryons
• Quarkonium Contribution to Meson Molecules
• X(3872) in the molecular model
• Decay widths of the spin-2 partners of the X(3872)
• The line shapes of the $Z_b(10610)$ and $Z_b(10650)$ in the elastic and inelastic channels revisited
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• Hidden beauty baryon states in the local hidden gauge approach with heavy quark spin symmetry
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• Establishing the heavy quark spin and light flavor molecular multiplets of the $X(3872)$, $Z_c(3900)$ and $X(3960)$
• Analysis of the $X(3960)$ and related tetraquark molecular states via the QCD sum rules
• X(3872) and its Partners in the Heavy Quark Limit of QCD
• Analysis of the $\mathbf{\gamma \gamma }\to \mathbf{D}\bar{\mathbf{D}}$ reaction and the $D\bar{D}$ bound state
• Predicting the ${\bar{D}}_s^{(\ast )}{D}_s^{(\ast )}$ bound states as the partners of $X(3872)$
• Exploring the resonances $X(4140)$ and $X(4274)$ through their decay channels
• Exotic Doubly Charmed Ds0*(2317)D and Ds1*(2460)D* Molecules
• Molecular Interpretation of $X(3960)$ as $D_s^{+}{D}_s^{-}$ State
• A combined analysis of the $Z_c(3900)$ and the $Z_{cs}(3985)$ exotic states
• Axial meson exchange and the $Z_c(3900)$ and $Z_{cs}(3985)$ resonances as heavy hadron molecules
• Hidden charm molecules in finite volume
• Decay behavior of the strange and beauty partners of $P_c$ hadronic molecules
• Relating $D^{\ast }{\bar{D}}^{\ast }$ currents with $J^{\pi }=0^{+},1^{+}$ and $2^{+}$ to $Z_c$ states
• $Z_c(3900)$: Confronting theory and lattice simulations
• $B^0\to D^0{\bar{D}}^0{K}^0$, $B^{+}\to D^0{\bar{D}}^0{K}^{+}$ and the scalar $D\bar{D}$ bound state
• Productions of $X(3872)$, $Z_c(3900)$, $X_2(4013)$, and $Z_c(4020)$ in $B_{(s)}$ decays offer strong clues on their molecular nature
• Is $Z_{cs}(3982)$ a molecular partner of $Z_c(3900)$ and $Z_c(4020)$ states?
• The $X(3960)$ seen in $D_s^{+}{D}_s^{-}$ as the $X(3930)$ state seen in $D^{+}{D}^{-}$
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• Dispersive analysis of the $\gamma \gamma \to D\bar{D}$ data and the confirmation of the $D\bar{D}$ bound state
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• Noether Symmetry Approach in Scalar-Torsion $f(T,\varphi )$ Gravity
• The $D^{\ast }{D}^{\ast }\bar{D}$ and $D^{\ast }{D}^{\ast }{\bar{D}}^{\ast }$ Three-Body Systems
• Reanalysis of the $e^{+}{e}^{-}\to (D^{\ast }{\bar{D}}^{\ast }{)}^{\pm }{\pi }^{\mp }$ reaction and the claim for the $Z_c(4025)$ resonance
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• $P$-wave charmonium contribution to hidden-charm states from reanalysis of lattice QCD data
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• Dispersive analysis of the isospin breaking in the $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ and $X(3872)\to J/\psi {\pi }^{+}{\pi }^0{\pi }^{-}$ decays
• $Z_{cs}(3985)$ in next-to-leading-order chiral effective field theory -- the first truncation uncertainty analysis
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• Why X(3915) is so narrow as a ${\chi }_{c0}(2P)$ state
• Triple-X and beyond: hadronic systems of three and more X(3872)
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• Hidden charm and bottom molecular states
• Heavy Quark Symmetries: Molecular Partners of the X(3872) and $Z_b(10610)/Z_b^{\prime }(10650)$
• Two nearby states in the $X(3872)$ region: Resolving the radiative-decay ratio tension with ${\eta }_{c2}$
• Heavy Quark Spin Symmetry and SU(3)-Flavour Partners of the X(3872)
• Production of $X_{cs\bar{c}\bar{s}}$ in heavy ion collisions
• Hidden charm molecules in a Finite Volume
• Strong decays of the isovector-scalar $D^{\ast }{\bar{D}}^{\ast }$ hadronic molecule
• Hunting for the heavy quark spin symmetry partner of $Z_{cs}$
• Calculation of mass and width of unstable molecular state using the developed Bethe-Salpeter theory
• Recent Developments on Hadron Interaction and Dynamically Generated Resonances
• Coupled-channel meson-meson scattering in the diabatic framework
• Decoding the near-threshold $X_{0,1}(4140)$ and $X_1(4685)$ states via OZI-suppressed coupled-channel scattering
• Exotic hadrons associated with $b$-quark
• Analysis of the ${\mathbf{e}}^{+}{\mathbf{e}}^{-}\to \mathbf{J}/\mathbf{\psi D}\bar{\mathbf{D}}$ reaction close to the threshold concerning claims of a ${\chi }_{c0}(2P)$ state