Charmoniumlike Channels $1^{+}$ with Isospin $1$ from Lattice and Effective Field Theory

Abstract

Many exotic charmoniumlike mesons have already been discovered experimentally, of which the $Z_c$ mesons with $I=1$ are prominent examples. We investigate $J^{PC}=1^{+\pm }$ states with flavor $\bar{c}c\bar{q}q$ ($q=u,d$) in $I=1$ using lattice QCD. This is the first study of these mesons employing more than one volume and involving frames with nonzero total momentum. We utilize two $N_f=2+1$ CLS ensembles with $m_{\pi }\simeq 280$MeV. The simulations are performed with unphysical light quark masses at a single lattice spacing of $a\simeq 0.086$fm and omit $\psi (2S)\pi$, $\psi (3770)\pi$ and three-particle decay channels, so our results provide only qualitative insights. Resulting eigenenergies are compatible or just slightly shifted down with respect to noninteracting energies, where the most significant shifts occur for certain $D{\bar{D}}^{\ast }$ states. Both channels $1^{+\pm }$ have a virtual pole slightly below the threshold if $D{\bar{D}}^{\ast }$ is assumed to be decoupled from other channels. In addition, we perform a coupled channel analysis of $J/\psi \pi$ and $D{\bar{D}}^{\ast }$ scattering with $J^{PC}=1^{+-}$ within an effective field theory framework. The $J/\psi \pi$ and $D{\bar{D}}^{\ast }$ line shapes from BESIII and finite-volume energies from several lattice QCD simulations, including this work, are fitted simultaneously. All fits yield two poles relatively close to the $D{\bar{D}}^{\ast }$ threshold and reasonably reproduce the experimental $Z_c$ peaks. They also reproduce lattice energies up to slightly above the $D{\bar{D}}^{\ast }$ threshold, while reproduction at even higher energies is better for fits that put more weight on the lattice data. Our findings suggest that the employed EFT can reasonably reconcile the peaks in the experimental line shapes and the lattice energies, although those lie close to noninteracting energies. We also study $J/\psi \pi$ scattering in s wave and place upper bounds on the phase shift.

arXiv comment24 pages plus appendices, 29 figures, version accepted for publication in Phys. Rev. D.: several text/tables/figures corrections to improve clarity, additional Appendix G with info on neglected operators, results and conclusions did not change

References in corpus (90)

• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a New Narrow Charmonium 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)
• The Chroma Software System for Lattice QCD
• Study of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ and Observation of a Charged Charmonium-like State at Belle
• Observation of structure in the $J/\psi$-pair mass spectrum
• A novel quark-field creation operator construction for hadronic physics in lattice QCD
• Scattering processes and resonances from lattice QCD
• Simulation of QCD with N_f=2+1 flavors of non-perturbatively improved Wilson fermions
• Observation of a charged (DD*bar)- mass peak in e+e- --> pi+ (DD*bar)- at Ecm=4.26 GeV
• Threshold cusps and triangle singularities in hadronic reactions
• Decoding the riddle of Y(4260) and $Z_c(3900)$
• Observation of a charged charmoniumlike structure in $e^{+}{e}^{-}\to (D^{\ast }{\bar{D}}^{\ast }{)}^{\pm }{\pi }^{\mp }$ at $\sqrt{s}=4.26$GeV
• Consequences of Heavy Quark Symmetries for Hadronic Molecules
• Precise measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ cross section at center-of-mass energies from 3.77 to 4.60 GeV
• Lattice QCD with open boundary conditions and twisted-mass reweighting
• Scattering phases for meson and baryon resonances on general moving-frame lattices
• Two-particle multichannel systems in a finite volume with arbitrary spin
• X(3872): Hadronic Molecules in Effective Field Theory
• Unitarized Chiral Perturbation Theory in a finite volume: scalar meson sector
• Setting the scale for the CLS $2+1$ flavor ensembles
• Improved stochastic estimation of quark propagation with Laplacian Heaviside smearing in lattice QCD
• Three particle quantization condition in a finite volume: 2. general formalism and the analysis of data
• Three-body Unitarity in the Finite Volume
• Lattice QCD and Three-particle Decays of Resonances
• Evidence for X(3872) from DD* scattering on the lattice
• $Z_b$ and $Z_c$ Exotic States as Coupled Channel Cusps
• A J^PG=1++ Charged Resonance in the Y(4260) to pi+pi- J/psi Decay?
• Masses of fully heavy tetraquarks $QQ\bar{Q}\bar{Q}$ in an extended relativized quark model
• Scalar mesons moving in a finite volume and the role of partial wave mixing
• Searching for observable effects induced by anomalous triangle singularities
• Fate of the Tetraquark Candidate Zc(3900) from Lattice QCD
• Could the near-threshold $XYZ$ states be simply kinematic effects?
• Heavy Quark Symmetry Predictions for Weakly Bound B-Meson Molecules
• Prediction of an $I=1$ $D{\bar{D}}^{\ast }$ state and relationship to the claimed $Z_c(3900)$, $Z_c(3885)$
• Probabilistic interpretation of compositeness relation for resonances
• Power Counting and Perturbative One Pion Exchange in Heavy Meson Molecules
• X(3872) and Y(4140) using diquark-antidiquark operators with lattice QCD
• Exploring the threshold behavior and implications on the nature of Y(4260) and $Z_c(3900)$
• Determination of spin and parity of the $Z_c(3900)$
• $Z_c(3900)$: what has been really seen?
• Confirmation of a charged charmoniumlike state $Z_c(3885{)}^{\mp }$ in $e^{+}{e}^{-}\to {\pi }^{\pm }(D{\bar{D}}^{\ast }{)}^{\mp }$ with double $D$ tag
• Study of the $Z_c^{+}$ channel using lattice QCD
• Coupled-channel interpretation of the LHCb double-$J/\psi$ spectrum and hints of a new state near the $J/\psi J/\psi$ threshold
• Towards the understanding of fully-heavy tetraquark states from various models
• Evidence of a resonant structure in the $e^{+}{e}^{-}\to {\pi }^{+}{D}^0{D}^{\ast -}$ cross section between 4.05 and 4.60 GeV
• Strong decays of molecular states Zc(+) and Zc'(+)
• On the nature of near-threshold bound and virtual states
• Tetraquark operators in lattice QCD and exotic flavour states in the charm sector
• Charmonium-like resonances with $J^{PC}=0^{++},2^{++}$ in coupled $D\bar{D}$, $D_s{\bar{D}}_s$ scattering on the lattice
• Amplitude analysis and the nature of the Zc(3900)
• Towards a precise determination of the scattering amplitudes of the charmed and light-flavor pseudoscalar mesons
• Observation of a Neutral Structure near the $D{\bar{D}}^{\ast }$ Mass Threshold in $e^{+}{e}^{-}\to (D{\bar{D}}^{\ast }{)}^0{\pi }^0$ at $\sqrt{s}$ = 4.226 and 4.257 GeV
• Estimating the two-particle $K$-matrix for multiple partial waves and decay channels from finite-volume energies
• Lattice simulations with $N_f=2+1$ improved Wilson fermions at a fixed strange quark mass
• Interplay of quark and meson degrees of freedom in near-threshold states: A practical parametrisation for line shapes
• Search for Z_c^+(3900) in the 1^+- channel on the lattice
• Spectroscopy of the hidden-charm $[qc][\bar{q}\bar{c}]$ and $[sc][\bar{s}\bar{c}]$ tetraquarks
• Low-energy Scattering of $(D{\bar{D}}^{\ast }{)}^{\pm }$ System And the Resonance-like Structure $Z_c(3900)$
• Electromagnetic Structure of the Z_c(3900)
• First lattice study of low-energy charmonium-hadron interaction
• A practical parametrization for line shapes of near-threshold states
• Long-range properties of $1S$ bottomonium states
• Is the existence of a $J/\psi J/\psi$ bound state plausible?
• A chiral covariant approach to $\rho \rho$ scattering
• Cusps and Exotic Charmonia
• The $S$- and $P$-wave fully charmed tetraquark states and their radial excitations
• The $Z_c$ structures in a coupled-channels model
• Solving the left-hand cut problem in lattice QCD: $T_{cc}(3875{)}^{+}$ from finite volume energy levels
• $S$-wave fully charmed tetraquark resonant states
• The Tetraquark Candidate Zc(3900) from Dynamical Lattice QCD Simulations
• Spectroscopy behavior of fully heavy tetraquarks
• Establishing the heavy quark spin and light flavor molecular multiplets of the $X(3872)$, $Z_c(3900)$ and $X(3960)$
• $Z_c(3900)$ as a $D{\bar{D}}^{\ast }$ molecule from the pole counting rule
• $Z_c(3900)/Z_c(3885)$ as a virtual state from $\pi J/\psi -{\bar{D}}^{\ast }D$ interaction
• A combined analysis of the $Z_c(3900)$ and the $Z_{cs}(3985)$ exotic states
• Spectrum of the S-wave fully-heavy tetraquark states
• Extracting $\pi \pi$ $S$-wave scattering lengths from cusp effect in heavy quarkonium dipion transitions
• Charmonium resonances with $J^{PC}=1^{--}$ and $3^{--}$ from $\bar{D}D$ scattering on the lattice
• Lattice operators for scattering of particles with spin
• Going in quest of potential tetraquark interpretations for the newly observed $T_{\psi \psi }$ states in light of the diquark-antidiquark scenarios
• X(6200) as a compact tetraquark in the QCD string model
• Predicting isovector charmonium-like states from X(3872) properties
• Hidden-flavour four-quark states in the charm and bottom region
• A coupled-channel lattice study on the resonance-like structure $Z_c(3900)$
• Precise determination of the pole position of the exotic $Z_c(3900)$
• Optimising creation operators for charmonium spectroscopy on the lattice
• Distinguishing cusp effects and near-threshold-pole effects
• Chromopolarizabilities of fully-heavy baryons

Cited by in corpus (3)

• $P$-wave charmonium contribution to hidden-charm states from reanalysis of lattice QCD data
• Pole trajectories from $S$- and $P$-wave $D{\bar{D}}^{\ast }$ interactions
• Effective range expansion with a long-range force