X(3872) as a molecular DD* state in a potential model

Abstract

We discuss the possibility that the X(3872) can be a hadronic DD* bound state in the framework of a potential model. The potential is generated by the exchange of pseudoscalar, scalar and vector mesons resulting from the Lagrangian of heavy hadron chiral perturbation theory. The hadronic bound state configuration contains charged and neutral DD* components, while orbital S- and D-waves are included. Isospin symmetry breaking effects are fully taken into account. We show that binding in the DD* system with J(PC)=1(++) already exists for a reasonable value of the meson-exchange regularization parameter of Lambda around 1.2 GeV. We also explore the possibility of hadronic BB* bound states and show that binding can be achieved in the isoscalar limit for J(PC)=1(++) or 1(+-).

14 pages, 7 figures

References in corpus (13)

• Charmonium
• X(3872) and Other Possible Heavy Molecular States
• Pion Interactions in the X(3872)
• Is X(3872) {\sl Really} a Molecular State?
• Is X(3872) a molecule?
• Axial Resonances in the Open and Hidden Charm Sectors
• Estimate for the X(3872) to gamma J/psi decay width
• X(3872) as a hadronic molecule and its decays to charmonium states and pions
• Hadronic Decays of the X(3872) to chi_{cJ} in Effective Field Theory
• Decays of the X(3872) and ${\chi }_{c1}(2P)$ charmonium
• The Effects of Charged Charm Mesons on the Line Shapes of the X(3872)
• The Hidden Charm Decay of $X(3872),Y(3940)$ and Final State Interaction Effects
• Weakly-bound Hadronic Molecule near a 3-body Threshold

Cited by in corpus (84)

• Heavy quarkonium: progress, puzzles, and opportunities
• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• The $XYZ$ states: experimental and theoretical status and perspectives
• Heavy-Quark QCD Exotica
• Couplings in coupled channels versus wave functions: application to the X(3872) resonance
• The possible hidden-charm molecular baryons composed of anti-charmed meson and charmed baryon
• Combining heavy quark spin and local hidden gauge symmetries in the dynamical generation of hidden charm baryons
• An overview of $XYZ$ new particles
• Coupled-channel analysis of the possible $D^{(\ast )}{D}^{(\ast )}$, ${\bar{B}}^{(\ast )}{\bar{B}}^{(\ast )}$ and $D^{(\ast )}{\bar{B}}^{(\ast )}$ molecular states
• Could the near-threshold $XYZ$ states be simply kinematic effects?
• Prediction of an $I=1$ $D{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(3900)$, $Z_c(3885)$
• Isospin breaking, coupled-channel effects, and X(3872)
• 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
• 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
• Constructing $J/\psi$ family with updated data of charmoniumlike $Y$ states
• Possible strange hidden-charm pentaquarks from ${\Sigma }_c^{(\ast )}{\bar{D}}_s^{\ast }$ and ${\Xi }_c^{{(}^{\prime },\ast )}{\bar{D}}^{\ast }$ interactions
• Quark model description of the tetraquark state X(3872) in a relativistic constituent quark model with infrared confinement
• Exotic mesons with hidden bottom near thresholds
• $D{D}^{\ast }$ potentials in chiral perturbation theory and possible molecular states
• Charm-beauty meson bound states from $B(B^{\ast })D(D^{\ast })$ and $B(B^{\ast })\bar{D}({\bar{D}}^{\ast })$ interaction
• Heavy molecules and one-$\sigma /\omega$-exchange model
• X(3872) as a hybrid state of the charmonium and the hadronic molecule
• Is $Z_c(3900)$ a molecular state
• QCD Sum-Rule Interpretation of X(3872) with $J^{PC}=1^{++}$ Mixtures of Hybrid Charmonium and $\bar{D}{D}^{\ast }$ Molecular Currents
• Prediction of triple-charm molecular pentaquarks
• A Phenomenological analysis on isospin-violating decay of $X(3872)$
• Exotic baryons from a heavy meson and a nucleon - Positive parity states -
• Hadronic molecules with both open charm and bottom
• Lattice study on ${\eta }_{c2}$ and X(3872)
• Doubly charmed molecular pentaquarks
• Is $Z_b(10610)$ a Molecular State?
• Strong decays of the $XYZ$ states
• Heavy Baryons and their Exotics from Instantons in Holographic QCD
• Exotic double-charm molecular states with hidden or open strangeness and around $4.5\sim 4.7$ GeV
• What do the radiative decays of X(3872) tell us
• 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
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• Study on the strong decays of $\varphi (2170)$ and a grand expectation for the future charm-tau factory
• Holographic Heavy-Light Chiral Effective Action
• Modern meson spectroscopy: the fundamental role of unitarity
• 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
• Exotic B_c-like molecules in QCD Sum Rules
• $Z_b(10650)$ and $Z_b(10610)$ states in a chiral quark model
• 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
• Probing the $XYZ$ states through radiative decays
• Axial Vector $cc$ and $bb$ Diquark Masses from QCD Laplace Sum-Rules
• Predictions of the hidden-charm molecular states with four-quark component
• 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
• The $\sigma$ and $\rho$ coupling constants for the charmed and beauty mesons
• QCD quark cyclobutadiene and light tetraquark spectrum
• Study of charmonium and charmonium-like contributions in $B^{+}\to J/\psi \eta K^{+}$ decays
• Possible bound state of the double heavy meson-baryon system
• Hadronic states with both open charm and bottom in effective field theory
• The role of electromagnetic interaction in the $X(3872)$ and its analogs
• Probing double hadron resonances by the complex scaling method
• Study of the hidden charm $D{\bar{D}}^{\ast }$ interactions in chiral effective field theory
• Constraining the $DD{D}^{\ast }$ three-body bound state via the $Z_c(3900)$ pole
• Towards modeling the short-range interactions of hidden/open charm pentaquark molecular states
• Are there near-threshold Coulomb-like Baryonia?
• A short review on the compositeness of the $X(3872)$
• Pole trajectories from $S$- and $P$-wave $D{\bar{D}}^{\ast }$ interactions
• Possible molecules of triple-heavy pentaquarks within the extended local hidden gauge formalism
• A helpful analogy between the covalent bond and Particle Spectroscopy
• The possible $B\pi$ molecular state and its radiative decay
• Triple-X and beyond: hadronic systems of three and more X(3872)
• Hidden-Charm Tetraquarks in a Mixture Model: Coupled-Channel Analysis with $c\bar{c}$ and Hadronic Molecular Components
• Searching for a hidden charm $h_1$ state in the $X(4660)\to \eta h_1$ and $X(4660)\to \eta D^{\ast }{\bar{D}}^{\ast }$ decays
• Two nearby states in the $X(3872)$ region: Resolving the radiative-decay ratio tension with ${\eta }_{c2}$
• ${\bar{D}}^0{D}^{0\ast }$ $(D^0{\bar{D}}^{0\ast })$ System in QCD-Improved Many Body Potential
• Strong coupling constants of charmed and bottom mesons with light vector mesons in QCD sum rules
• The nature of near-threshold XYZ states
• On the origin of the narrow peak and the isospin symmetry breaking of the $X$(3872)
• Dispersive Analysis of $D$- and $B$-Meson Form Factors with Chiral and Heavy-Quark Constraints
• Molecular pentaquarks composed of a ground-state octet baryon and a $P-$wave anticharmed meson
• Electromagnetic probes revealing the inner structure of the ${\Lambda }_c(2940)$