Scalar and tensor charmonium resonances in coupled-channel scattering from QCD

Abstract

We determine $J^{PC}=0^{++}$ and $2^{++}$ hadron-hadron scattering amplitudes in the charmonium energy region up to 4100 MeV using lattice QCD, a first-principles approach to QCD. Working at $m_{\pi }\approx 391$ MeV, more than 200 finite-volume energy levels are computed and these are used in extensions of the Lüscher formalism to determine infinite-volume coupled-channel scattering amplitudes. We find that this energy region contains a single ${\chi }_{c0}$ and a single ${\chi }_{c2}$ resonance. Both are found as pole singularities on the closest unphysical Riemann sheet, just below 4000 MeV with widths around 70 MeV. The largest couplings are to kinematically-closed $D^{\ast }{\bar{D}}^{\ast }$ channels in $S$-wave, and couplings to several decay channels consisting of pairs of open-charm mesons are found to be large and significant in both cases. Above the ground state ${\chi }_{c0}$, no other scalar bound-states or near-$D\bar{D}$ threshold resonances are found, in contrast to several theoretical and experimental studies.

7 pages, 2 figures

References in corpus (19)

• Multiquark Resonances
• A novel quark-field creation operator construction for hadronic physics in lattice QCD
• Excited and exotic charmonium spectroscopy from lattice QCD
• First results from 2+1 dynamical quark flavors on an anisotropic lattice: light-hadron spectroscopy and setting the strange-quark mass
• A survey of heavy-heavy hadronic molecules
• S and D-wave phase shifts in isospin-2 pi pi scattering from lattice QCD
• Tuning for Three-flavors of Anisotropic Clover Fermions with Stout-link Smearing
• Adaptive multigrid algorithm for the lattice Wilson-Dirac operator
• Resonances in coupled $\pi K,\eta K$ scattering from lattice QCD
• Signature of a doubly charm tetraquark pole in $D{D}^{\ast }$ scattering on the lattice
• Decay channels and charmonium mass-shifts
• Where is the χ_{c0}(2P)?
• Charmonium resonances in the 3.9 GeV/$c^2$ energy region and the $X(3915)/X(3930)$ puzzle
• Novel approaches in Hadron Spectroscopy
• Observation of a resonant structure near the $D_s^{+}{D}_s^{-}$ threshold in the $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$ decay
• Radiative decay of the resonant $K^{\ast }$ and the $\gamma K\to K\pi$ amplitude from lattice QCD
• Determination of crossing-symmetric $\pi \pi$ scattering amplitudes and the quark mass evolution of the $\sigma$ constrained by lattice QCD
• Dispersive analysis of the $\gamma \gamma \to D\bar{D}$ data and the confirmation of the $D\bar{D}$ bound state
• Charmonium ${\chi }_{c0}$ and ${\chi }_{c2}$ resonances in coupled-channel scattering from lattice QCD

Cited by in corpus (7)

• Near-threshold states in coupled $D{D}^{\ast }-D^{\ast }{D}^{\ast }$ scattering from lattice QCD
• Charmonium ${\chi }_{c0}$ and ${\chi }_{c2}$ resonances in coupled-channel scattering from lattice QCD
• $P$-wave charmonium contribution to hidden-charm states from reanalysis of lattice QCD data
• Highly excited $B$, $B_s$ and $B_c$ meson spectroscopy from lattice QCD
• Construction of general $N$-body lattice operators with arbitrary momenta
• $D_1$ and $D_2$ resonances in coupled-channel scattering amplitudes from lattice QCD
• Exotic hadrons associated with $b$-quark