X(3872) and Y(4140) using diquark-antidiquark operators with lattice QCD

Abstract

We perform a lattice study of charmonium-like mesons with $J^{PC}=1^{++}$ and three quark contents $\bar{c}c\bar{d}u$, $\bar{c}c(\bar{u}u+\bar{d}d)$ and $\bar{c}c\bar{s}s$, where the later two can mix with $\bar{c}c$. This simulation with $N_f=2$ and $m_{\pi }=266$ MeV aims at the possible signatures of four-quark exotic states. We utilize a large basis of $\bar{c}c$, two-meson and diquark-antidiquark interpolating fields, with diquarks in both anti-triplet and sextet color representations. A lattice candidate for X(3872) with I=0 is observed very close to the experimental state only if both $\bar{c}c$ and $D{\bar{D}}^{\ast }$ interpolators are included; the candidate is not found if diquark-antidiquark and $D{\bar{D}}^{\ast }$ are used in the absence of $\bar{c}c$. No candidate for neutral or charged X(3872), or any other exotic candidates are found in the I=1 channel. We also do not find signatures of exotic $\bar{c}c\bar{s}s$ candidates below 4.3 GeV, such as Y(4140). Possible physics and methodology related reasons for that are discussed. Along the way, we present the diquark-antidiquark operators as linear combinations of the two-meson operators via the Fierz transformations.

arXiv comment11 pages, 6 figures, version to be published in Phys. Rev. D

References in corpus (85)

• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a charged charmoniumlike structure in e+e- to pi+pi-J/psi at \sqrt{s}=4.26 GeV
• Diquark-Antidiquarks with Hidden or Open Charm and the Nature of X(3872)
• Study of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ and Observation of a Charged Charmonium-like State at Belle
• The New Heavy Mesons: A Status Report
• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• QCD and strongly coupled gauge theories: challenges and perspectives
• Isospin breaking of the narrow charmonium state of Belle at 3872 MeV as a deuson
• Short Range Structure in the X(3872)
• Massive Fermions in Lattice Gauge Theory
• Determination of the X(3872) meson quantum numbers
• Observation of the resonant character of the $Z(4430{)}^{-}$ state
• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• A novel quark-field creation operator construction for hadronic physics in lattice QCD
• A new look at scalar mesons
• Observation of the Charged Hadron $Z_c^{\pm }(3900)$ and Evidence for the Neutral $Z_c^0(3900)$ in $e^{+}{e}^{-}\to \pi \pi J/\psi$ at $\sqrt{s}=4170$ MeV
• Observation of a near-threshold omega-J/psi mass enhancement in exclusive B-->K omega J/psi decays
• The D*0 D0bar threshold resonance
• Evidence for a Narrow Near-Threshold Structure in the $J/\psi \varphi$ Mass Spectrum in $B^{+}\to J/\psi \varphi K^{+}$ Decays
• Multiple-channel generalization of Lellouch-Luscher formula
• The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks
• Excited and exotic charmonium spectroscopy from lattice QCD
• Four-Quark Hadrons: an Updated Review
• Two-particle multichannel systems in a finite volume with arbitrary spin
• Energy dependence of the ρ resonance in ππ elastic scattering from lattice QCD
• $D_{s0}^{\ast }(2317)$ Meson and $D$-Meson-Kaon Scattering from Lattice QCD
• Three particles in a finite volume
• Three-particle scattering amplitudes from a finite volume formalism
• Unitarized Chiral Perturbation Theory in a finite volume: scalar meson sector
• Bounds on the width, mass difference and other properties of X(3872) --> pi+pi-J/psi decays
• Tetraquark Mesons in Large $N$ Quantum Chromodynamics
• Coupled channel analysis of the rho meson decay in lattice QCD
• Experimental constraints on the spin and parity of the Z(4430)+
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• Resonances in coupled πK,ηK scattering from quantum chromodynamics
• An overview of $XYZ$ new particles
• Observation of Y(3940) -> J/psi omega in B -> J/psi omega K at BABAR
• D Pi scattering and D meson resonances from lattice QCD
• Evidence for X(3872) from DD* scattering on the lattice
• Observation of a peaking structure in the J/psi phi mass spectrum from B(+/-) to J/psi phi K(+/-) decays
• Dalitz analysis of B --> K pi psi' decays and the Z(4430)+
• Isospin breaking effects in the X(3872) resonance
• Four-quark spectroscopy within the hyperspherical formalism
• Evidence for a new resonance and search for the Y(4140) in $\gamma \gamma \to \varphi J/\psi$
• Interpretation of the X(3872) as a charmonium state plus an extra component due to the coupling to the meson-meson continuum
• Generalized Fierz identities
• Search for the X(4140) state in B+->J/psi phi K+ decays with the D0 detector
• Helicity operators for mesons in flight on the lattice
• Dynamical origin and the pole structure of X(3872)
• Search for a Charged Partner of the X(3872) in the B Meson Decay B --> X- K, X- --> J/psi pi- pi0
• A New Hadron Spectroscopy
• Study of the $Z_c^{+}$ channel using lattice QCD
• Two-Nucleon Systems in a Finite Volume: (I) Quantization Conditions
• Reweighting towards the chiral limit
• Are there compact heavy four-quark bound states?
• K pi scattering for isospin 1/2 and 3/2 in lattice QCD
• K pi scattering and the K* decay width from lattice QCD
• Two-Nucleon Systems in a Finite Volume: (II) 3S1-3D1 Coupled Channels and the Deuteron
• Charmonium spectroscopy above thresholds
• Doubly Charmed Tetraquarks in B_c and Xi_bc Decays
• Channel coupling in heavy quarkonia: energy levels, mixing, widths and new states
• Hidden-Beauty Charged Tetraquarks and Heavy Quark Spin Conservation
• X(3872) is not a true molecule
• X(3872) as a hybrid state of the charmonium and the hadronic molecule
• Y(4260) on the lattice
• Low energy chiral constants from epsilon-regime simulations with improved Wilson fermions
• Study of B{+-,0} --> J/ψ K+ K- K{+-,0} and search for B0 --> J/ψ ϕ at BABAR
• Do $c\bar{c}n\bar{n}$ bound states exist?
• Lattice investigation of the scalar mesons a_0(980) and κ using four-quark operators
• X(3872) in lattice QCD with exact chiral symmetry
• Signatures of S-wave bound-state formation in finite volume
• Large-N Structure of Tetraquark Mesons
• Axial resonances a1(1260), b1(1235) and their decays from the lattice
• Lüscher's finite size method with twisted boundary conditions: an application to $J/\psi$-$\varphi$ system to search for narrow resonance
• Novel charmonium-like structures in the $J/\psi \varphi$ and $J/\psi \omega$ invariant mass spectra
• Delicate interplay between the D0-D*0, rho0-J/psi, and omega-J/psi channels in the X(3872) resonance
• Light quark mass dependence of the X(3872) in XEFT
• Multiparticle States and the Hadron Spectrum on the Lattice
• Hidden charm molecules in finite volume
• Quantum-Number Exotic Tetraquarks at Large $N_c$ in QCD(AS)
• The X(3872) and the 3941 MeV peak in omega+J/Psi
• Searching for the $X(3872)$ and $Z_c^{+}(3900)$ on HISQ lattices
• Strategies for an accurate determination of the X(3872) energy from QCD lattice simulations
• Investigation of light and heavy tetraquark candidates using lattice QCD

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• $B_s{\pi }^{+}$ scattering and search for X(5568) with lattice QCD
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• Charmonium resonances with $J^{PC}=1^{--}$ and $3^{--}$ from $\bar{D}D$ scattering on the lattice
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• Binding energy of the $X(3872)$ at unphysical pion masses
• Modern meson spectroscopy: the fundamental role of unitarity
• Hadron spectroscopy and interactions from lattice QCD
• Can the state $Y(4626)$ be a $P$-wave tetraquark state $[cs][\bar{c}\bar{s}]$?
• $D{\bar{D}}^{\ast }$ scattering and ${\chi }_{c1}(3872)$ in nuclear matter
• Hidden-flavour four-quark states in the charm and bottom region
• Triangle singularity appearing as an $X(3872)$-like peak in $B\to (J/\psi {\pi }^{+}{\pi }^{-})K\pi$
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• Study of $I=0$ bottomonium bound states and resonances in $S$, $P$, $D$ and $F$ waves with lattice QCD static-static-light-light potentials
• Possible signatures for tetraquarks from the decays of $a_0(980)$, $a_0(1450)$
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• Exploratory study of X(4140) in QCD sum rules
• Charmoniumlike Channels $1^{+}$ with Isospin $1$ from Lattice and Effective Field Theory
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• The charmonium-like exotic hadron productions in $e^{+}{e}^{-}$ collisions at the BESIII energy with the PACIAE model
• Position-space sampling for local multiquark operators in lattice QCD using distillation and the importance of tetraquark operators for $T_{cc}(3875{)}^{+}$
• Two nearby states in the $X(3872)$ region: Resolving the radiative-decay ratio tension with ${\eta }_{c2}$
• Production of $X_{cs\bar{c}\bar{s}}$ in heavy ion collisions
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