Coupled-channel scattering of $DD,D{D}^{\ast }$ and $D^{\ast }{D}^{\ast }$ in isospin-$1$ from lattice QCD

Abstract

The first coupled-channel determination of two-body $D$ and $D^{\ast }$ scattering amplitudes in isospin-$1$ from lattice quantum chromodynamics is presented. Using three lattice volumes at $m_{\pi }\approx 391\mathrm{MeV}$, finite-volume energies relevant for the channels of interest are determined. Through the Lüscher formalism, these energies are used to constrain amplitudes of coupled $J^P=0^{+}$ $DD-D{D}^{\ast }$, $J^P=1^{+}$ $D{D}^{\ast }-D^{\ast }{D}^{\ast }$ and $J^P=2^{+}$ $DD-D{D}^{\ast }-D^{\ast }{D}^{\ast }$ scattering. All channels feature weakly repulsive interactions in $S$ wave, except for a weak $D^{\ast }{D}^{\ast }$ attraction in $J^P=0^{+}$. No amplitude singularities corresponding to physical states are found. Some of these amplitudes will be a necessary component of future lattice QCD analyses of $DD\pi$ and $D{D}^{\ast }$ scattering taking into account three-body and left-hand cut effects.

References in corpus (31)

• An updated review of the new hadron states
• Observation of an exotic narrow doubly charmed tetraquark
• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• Study of the doubly charmed tetraquark $T_{cc}^{+}$
• Toward the excited meson spectrum of dynamical QCD
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• S and D-wave phase shifts in isospin-2 pi pi scattering from lattice QCD
• Isoscalar $\pi \pi$ scattering and the $\sigma$ meson resonance from QCD
• Is X(3872) a molecule?
• The Flavor Structure of the Excited Baryon Spectra 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
• Coupled-Channel $D\pi$, $D\eta$ and $D_s\bar{K}$ Scattering from Lattice QCD
• Signature of a doubly charm tetraquark pole in $D{D}^{\ast }$ scattering on the lattice
• $T_{cc}^{+}$ coupled channel analysis and predictions
• Doubly-heavy tetraquarks
• Doubly Charmed Tetraquark $T_{cc}^{+}$ from Lattice QCD near Physical Point
• Tetraquark operators in lattice QCD and exotic flavour states in the charm sector
• Weakly bound $H$ dibaryon from SU(3)-flavor-symmetric QCD
• $T_{cc}^{+}(3875)$ relevant $D{D}^{\ast }$ scattering from $N_f=2$ lattice QCD
• Solving the left-hand cut problem in lattice QCD: $T_{cc}(3875{)}^{+}$ from finite volume energy levels
• Towards the quark mass dependence of $T_{cc}^{+}$ from lattice QCD
• Nature of the doubly-charmed tetraquark $T_{cc}^{+}$ in a constituent quark model
• Near-threshold states in coupled $D{D}^{\ast }-D^{\ast }{D}^{\ast }$ scattering from lattice QCD
• The doubly charmed strange tetraquark
• Doubly charm tetraquark channel with isospin $1$ from lattice QCD
• Exotic Hadrons at LHCb
• Charmonium ${\chi }_{c0}$ and ${\chi }_{c2}$ resonances in coupled-channel scattering from lattice QCD
• $DK/D\pi$ scattering and an exotic virtual bound state at the $SU(3)$ flavour symmetric point from lattice QCD
• Lattice study of $cc\bar{u}\bar{s}$ tetraquark channel in $D^{(\ast )}{D}_s^{(\ast )}$ scattering