Heavy-quark spin and flavour symmetry partners of the X(3872) revisited: what can we learn from the one boson exchange model?

Abstract

Heavy-quark symmetry as applied to heavy hadron systems implies that their interactions are independent of their heavy-quark spin (heavy-quark spin symmetry) and heavy flavour contents (heavy flavour symmetry). In the molecular hypothesis the $X(3872)$ resonance is a $1^{++}$ $D^{\ast }\bar{D}$ bound state. If this is the case, the application of heavy-quark symmetry to a molecular $X(3872)$ suggests the existence of a series of partner states, the most obvious of which is a possible $2^{++}$ $D^{\ast }{\bar{D}}^{\ast }$ bound state for which the two-body potential is identical to that of the $1^{++}$ $D^{\ast }\bar{D}$ system, the reason being that these two heavy hadron-antihadron states have identical light-spin content. As already discussed in the literature this leads to the prediction of a partner state at $4012\mathrm{MeV}$, at least in the absence of other dynamical effects which might affect the location of this molecule. However the prediction of further heavy-quark symmetry partners cannot be done solely on the basis of symmetry and requires additional information. We propose to use the one boson exchange model to fill this gap, in which case we will be able to predict or discard the existence of other partner states. Besides the isoscalar $2^{++}$ $D^{\ast }{\bar{D}}^{\ast }$ bound state, we correctly reproduce the location and quantum numbers of the isovector hidden-bottom $Z_b(10610)$ and $Z_b(10650)$ molecular candidates. We also predict the hidden-bottom $1^{++}$ $B^{\ast }{\bar{B}}^{\ast }$ and $2^{++}$ $B^{\ast }{\bar{B}}^{\ast }$ partners of the $X(3872)$, in agreement with previous theoretical speculations, plus a series of other states. The isoscalar, doubly charmed $1^{+}$ $D{D}^{\ast }$ and $D^{\ast }{D}^{\ast }$ molecules and their doubly bottomed counterparts are likely to bind, providing a few instances of explicitly exotic systems.

16 pages, 10 tables, corresponds to published version

References in corpus (20)

• Dynamically Generated Open and Hidden Charm Meson Systems
• Discovery of doubly-charmed Xi_{cc} baryon implies a stable (b b ubar dbar) tetraquark
• Heavy-quark symmetry implies stable heavy tetraquark mesons $Q_i{Q}_j{\bar{q}}_k{\bar{q}}_l$
• X(3872) and Other Possible Heavy Molecular States
• Pion Interactions in the X(3872)
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Isospin breaking effects in the X(3872) resonance
• Exotic meson-meson molecules and compact four--quark states
• Implications of Heavy Quark-Diquark Symmetry for Excited Doubly Heavy Baryons and Tetraquarks
• What can radiative decays of the X(3872) teach us about its nature?
• Calculation of the heavy-hadron axial couplings g_1, g_2, and g_3 using lattice QCD
• Amplitude analysis of e+e- => Y(nS)pi+pi- at sqrt(s)=10.865 GeV
• 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
• Detecting the long-distance structure of the X(3872)
• Heavy-Quark Symmetry Partners of the Pc(4450) Pentaquark
• ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ interactions in chiral effective field theory
• Exotic $bc\bar{q}\bar{q}$ four-quark states
• A Model Study of Discrete Scale Invariance and Long-Range Interactions
• $X(3872)$, $X_b$, and the ${\chi }_{b1}(3P)$ state
• Production of the spin partner of the X(3872) in e^+e^- collisions

Cited by in corpus (77)

• Pentaquark and Tetraquark states
• An updated review of the new hadron states
• Observation of an exotic narrow doubly charmed tetraquark
• 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
• Coupled-channel approach to $T_{cc}^{+}$ including three-body effects
• Lattice QCD investigation of a doubly-bottom $\bar{b}\bar{b}ud$ tetraquark with quantum numbers $I(J^P)=0(1^{+})$
• $T_{cc}^{+}$ coupled channel analysis and predictions
• Probing the long-range structure of the $T_{cc}^{+}$ with the strong and electromagnetic decays
• $X_0(2866)$ as a $D^{\ast }{\bar{K}}^{\ast }$ molecular state
• Analysis of the doubly-charmed tetraquark molecular states with the QCD sum rules
• Can we understand the decay width of the $T_{cc}^{+}$ state?
• $T_{cc}^{+}(3875)$ relevant $D{D}^{\ast }$ scattering from $N_f=2$ lattice QCD
• Can discovery of hidden charm strange pentaquark states help determine the spins of $P_c(4440)$ and $P_c(4457)$?
• Subleading contributions to the decay width of the $T_{cc}^{+}$ tetraquark
• Hadronic molecule interpretation of $T_{cc}^{+}$ and its beauty-partners
• Magnetic dipole moments of the $T_{cc}^{+}$ and $Z_V^{++}$ tetraquark states
• $DDK$ system in finite volume
• Possible Molecular States of $D^{(\ast )}{D}^{(\ast )}$ and $B^{(\ast )}{B}^{(\ast )}$ within the Bethe-Salpeter framework
• Spectroscopy of ${\mathbf{B}}_{\mathbf{c}}$ mesons and the possibility of finding exotic ${\mathbf{B}}_{\mathbf{c}}$-like structures
• Compositeness of S-wave weakly-bound states from next-to-leading order Weinberg's relations
• Production of the $T_{cc}^{+}$ state in the $\gamma p\to D^{+}{\bar{T}}_{cc}^{-}{\Lambda }_c^{+}$ reaction
• Search for $\bar{b}\bar{b}us$ and $\bar{b}\bar{c}ud$ tetraquark bound states using lattice QCD
• Axial meson exchange and the $Z_c(3900)$ and $Z_{cs}(3985)$ resonances as heavy hadron molecules
• Excited $K$ meson, $K_c(4180)$, with hidden charm as a $D\bar{D}K$ bound state
• Investigating new type of doubly-charmed molecular tetraquarks composed of the charmed meson in $H$-doublet and the charmed meson in $T$-doublet
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Production of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ in $B$ decays as $D^{(\ast )}K$ and $D_s^{(\ast )}\eta$ molecules
• Heavy-hadron molecular spectrum from light-meson exchange saturation
• Investigation of the possible $D{\bar{D}}^{\ast }$/$B{\bar{B}}^{\ast }$ and $D{D}^{\ast }$/$\bar{B}{\bar{B}}^{\ast }$ molecule states
• The quasi-fission phenomeonon of double charm $T_{cc}^{+}$ induced by nucleon
• Heavy- and light-flavor symmetry partners of the $T_{cc}^{+}(3875)$, the $X(3872)$ and the $X(3960)$ from light-meson exchange saturation
• Photoproduction of strange hidden-charm and hidden-bottom states
• Is $X(7200)$ the heavy anti-quark diquark symmetry partner of $X(3872)$?
• Surveying the mass spectra and the electromagnetic properties of the ${\Xi }_c^{(\prime ,\ast )}{D}^{(\ast )}$ molecular pentaquarks
• Triple-charm molecular states composed of $D^{\ast }{D}^{\ast }D$ and $D^{\ast }{D}^{\ast }{D}^{\ast }$
• A new group of doubly charmed molecule with $T$-doublet charmed meson pair
• Doubly heavy tetraquark states in the constituent quark model using diffusion Monte Carlo method
• Near-threshold states in coupled $D{D}^{\ast }-D^{\ast }{D}^{\ast }$ scattering from lattice QCD
• Spectrum of the molecular tetraquarks: Unraveling the $T_{cs0}(2900)$ and $T_{c\bar{s}0}^a(2900)$
• Analysis of $T_{cc}$ and $T_{bb}$ based on the hadronic molecular model and their spin multiplets
• Higher molecular $P_{\psi s}^{\Lambda /\Sigma }$ pentaquarks arising from the ${\Xi }_c^{(\prime ,\ast )}{\bar{D}}_1/{\Xi }_c^{(\prime ,\ast )}{\bar{D}}_2^{\ast }$ interactions
• Production rates of $D_s^{+}{D}_s^{-}$ and $D\bar{D}$ molecules in $B$ decays
• Double-charm heptaquark states composed of two charmed mesons and one nucleon
• Doubly heavy tetraquark bound and resonant states
• Triply charmed dibaryons in the one boson exchange model
• New type of doubly charmed molecular pentaquarks containing most strange quarks: Mass spectra, radiative decays, and magnetic moments
• Three-body molecules $\bar{D}{\bar{D}}^{\ast }{\Sigma }_c$- understanding the nature of $T_{cc}$, $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$
• Molecular states of $D^{\ast }{D}^{\ast }{\bar{K}}^{\ast }$ nature
• Searching for doubly charmed tetraquark candidates $T_{cc}$ and $T_{cc\bar{s}}$ in $B_c$ decays
• Quadruply charmed baryons as heavy quark symmetry partners of the $D_{s0}^{\ast }(2317)$
• One way to verify the molecular picture of exotic hadrons --from $DK$ to $DDK/D{\bar{D}}^{(\ast )}K$
• $\sigma$ exchange in the one-boson exchange model involving the ground state octet baryons
• Study of charmonium and charmonium-like contributions in $B^{+}\to J/\psi \eta K^{+}$ decays
• hidden charm decays of $X(4014)$ in a $D^{\ast }{\bar{D}}^{\ast }$ molecule scenario
• Hadronic molecular states with the quark contents $bc\bar{s}\bar{q}$, $b\bar{c}s\bar{q}$, and $b\bar{c}\bar{s}q$
• $bb\bar{u}\bar{d}$ and $bs\bar{u}\bar{d}$ tetraquarks from lattice QCD using two-meson and diquark-antidiquark variational basis
• The study of possible molecular states of $D_s^{(\ast )}{D}_s^{(\ast )}$ and $B_s^{(\ast )}{B}_s^{(\ast )}$
• Isospin violation effect and three-body decays of the $T_{cc}^{+}$ state
• Study of the hidden charm $D{\bar{D}}^{\ast }$ interactions in chiral effective field theory
• Spectroscopic Properties of Double-Strangeness Molecular Tetraquarks
• Possible molecular states from interactions of charmed baryons
• Study on triple-hadron bound states with Gaussian expansion method
• Constraining the $DD{D}^{\ast }$ three-body bound state via the $Z_c(3900)$ pole
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• The doubly-charmed pentaquark in a quark model with a complete set of harmonic oscillator bases
• Analysis of bound and resonant states of doubly heavy tetraquarks with spin $J\le 2$
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• Possible ${\Sigma }_c^{\ast }\bar{\Sigma }$ molecular states
• Investigation of Doubly Heavy Tetraquark Systems using Lattice QCD
• Strong decays of the isovector-scalar $D^{\ast }{\bar{D}}^{\ast }$ hadronic molecule
• Strong coupling constants of charmed and bottom mesons with light vector mesons in QCD sum rules
• Low-energy $DD$ scattering in lattice QCD
• Dispersive Analysis of $D$- and $B$-Meson Form Factors with Chiral and Heavy-Quark Constraints
• Binding energy of the $T_{bb}$ tetraquark from lattice QCD with relativistic and nonrelativistic heavy-quark actions
• Possible ${\bar{D}}^{(\ast )}{\Xi }_{cc}^{(\ast )}$ and ${\Xi }_{cc}^{(\ast )}{\Xi }_{cc}^{(\ast )}$ molecules as superflavor partners of $T_{cc}$