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.

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

References in corpus (24)

• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• 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
• Evidence for a Narrow Near-Threshold Structure in the $J/\psi \varphi$ Mass Spectrum in $B^{+}\to J/\psi \varphi K^{+}$ Decays
• 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
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• Resonances in coupled πK,ηK scattering from quantum chromodynamics
• Isospin breaking effects in the X(3872) resonance
• A New Hadron Spectroscopy
• Study of the $Z_c^{+}$ channel using lattice QCD
• Reweighting towards the chiral limit
• Are there compact heavy four-quark bound states?
• Charmonium spectroscopy above thresholds
• Hidden-Beauty Charged Tetraquarks and Heavy Quark Spin Conservation
• Low energy chiral constants from epsilon-regime simulations with improved Wilson fermions
• Do $c\bar{c}n\bar{n}$ bound states exist?
• Study of B{+-,0} --> J/ψ K+ K- K{+-,0} and search for B0 --> J/ψ ϕ at BABAR
• X(3872) in lattice QCD with exact chiral symmetry
• Signatures of S-wave bound-state formation in finite volume
• Lüscher's finite size method with twisted boundary conditions: an application to $J/\psi$-$\varphi$ system to search for narrow resonance
• Multiparticle States and the Hadron Spectrum on the Lattice

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