Coupled-channel dynamics with chiral long-range forces in the open-charm sector of QCD

Abstract

We perform an analysis of Lattice QCD data in the open-charm sector based on the chiral SU(3) Lagrangian. The low-energy constants are adjusted to recover the open-charm meson masses on Lattice QCD ensembles from HPQCD, ETMC and HSC with pion and kaon masses smaller than 550 MeV. A significant set of low-energy parameters is obtainable only if the most recent information from HSC on scattering observables is included in our global fit. For the first time our analysis considers the effect of left-hand cuts as developed in terms of a generalized potential approach (GPA) previously by one of the authors. Here we use coupled-channel interaction terms at the one-loop level. The elastic s-wave and p-wave $D\pi$, $DK$ and $D\bar{K}$ scattering phase shifts on ensembles with nominal pion masses of about 239 MeV and 391 MeV are reproduced faithfully. Based on such low-energy parameters we predict s- and p-wave phase shifts and inelasticities at physical quark masses, where the statistical uncertainties in the phase shifts are smaller than 1 degree always. Most striking would be the exotic s-wave $D_s\pi$ channel, for which we predict a resonance state at about 2.287 GeV where the phase shift passes through 90 degrees.

arXiv comment73 pages, 8 figures, 28 tables, the revised manuscript includes a table with the pole masses of the 0^+ resonances

References in corpus (60)

• Phenomenology of Heavy Meson Chiral Lagrangians
• FLAG Review 2021
• 2+1 Flavor Lattice QCD toward the Physical Point
• A review of the open charm and open bottom systems
• The QCD spectrum with three quark flavors
• Relativistic chiral SU(3) symmetry, large N_c sum rules and meson-baryon scattering
• On heavy-light meson resonances and chiral symmetry
• Light hadrons with improved staggered quarks: approaching the continuum limit
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• Variants of fattening and flavor symmetry restoration
• On meson resonances and chiral symmetry
• Interactions of Charmed Mesons with Light Pseudoscalar Mesons from Lattice QCD and Implications on the Nature of the D_{s0}^*(2317)
• $D_{s0}^{\ast }(2317)$ Meson and $D$-Meson-Kaon Scattering from Lattice QCD
• B- and D-meson decay constants from three-flavor lattice QCD
• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Testing improved actions for dynamical Kogut-Susskind quarks
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• Open-charm meson resonances with negative strangeness
• Charmed meson decay constants in three-flavor lattice QCD
• Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
• Coupled-Channel $D\pi$, $D\eta$ and $D_s\bar{K}$ Scattering from Lattice QCD
• Radiative and isospin-violating decays of Ds mesons in the hadrogenesis conjecture
• Scattering lengths of Nambu-Goldstone bosons off $D$ mesons and dynamically generated heavy-light mesons
• Excited and exotic charmonium, $D_s$ and $D$ meson spectra for two light quark masses from lattice QCD
• Photon- and pion-nucleon interactions in a unitary and causal effective field theory based on the chiral Lagrangian
• Excited spectroscopy of charmed mesons from lattice QCD
• Subleading contributions to the width of the D_{s0}*(2317)
• D and D_s meson spectroscopy
• Low-energy interactions of Nambu-Goldstone bosons with $D$ mesons in covariant chiral perturbation theory
• Strong and radiative decays of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$
• On chiral extrapolations of charmed meson masses and coupled-channel reaction dynamics
• On finite volume effects in the chiral extrapolation of baryon masses
• Light Pseudoscalar Meson and Heavy Meson Scattering Lengths
• More kaonic bound states and a comprehensive interpretation of the D_{sJ} states
• $DK$ $I=0,$ $D\bar{K}$ $I=0,1$ scattering and the $D_{s0}^{\ast }(2317)$ from lattice QCD
• |V_cd| from D Meson Leptonic Decays
• Effective chiral theory of nucleon-nucleon scattering
• Study of open-charm $0^{+}$ states in unitarized chiral effective theory with one-loop potentials
• Baryon self energies in the chiral loop expansion
• Dynamical light vector mesons in low-energy scattering of Goldstone bosons
• Isospin-1/2 $D\pi$ scattering and the lightest $D_0^{\ast }$ resonance from lattice QCD
• On the quark-mass dependence of the baryon ground-state masses
• On the convergence of the chiral expansion for the baryon ground-state masses
• Masses of $D$ mesons, $D_s$ mesons and charmonium states from twisted mass lattice QCD
• Two-nucleon scattering: merging chiral effective field theory with dispersion relations
• On causality, unitarity and perturbative expansions
• Continuum limit of the $D$ meson, $D_s$ meson and charmonium spectrum from $N_f=2+1+1$ twisted mass lattice QCD
• Resonances in QCD
• Aspects of the low-energy constants in the chiral Lagrangian for charmed mesons
• On the axial-vector form factor of the nucleon and chiral symmetry
• On kinematical constraints in boson-boson systems
• Spectral representation for u- and t-channel exchange processes in a partial-wave decomposition
• On chiral excitations with exotic quantum numbers
• On light vector mesons and chiral SU(3) extrapolations
• On the chiral expansion of vector meson masses
• Chiral Lagrangians for mesons with a single heavy quark
• Axial-vector form factors of the baryon octet and chiral symmetry
• On kinematical constraints in fermion-antifermion systems
• On kinematical constraints in the hadrogenesis conjecture for the baryon resonance spectrum
• On coupled-channel dynamics in the presence of anomalous thresholds

Cited by in corpus (5)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• $DK/D\pi$ scattering and an exotic virtual bound state at the $SU(3)$ flavour symmetric point from lattice QCD
• Low-energy constants in the chiral Lagrangian with baryon octet and decuplet fields from Lattice QCD data on CLS ensembles
• A coupled-channel system with anomalous thresholds and unitarity
• Dispersive Analysis of $D$- and $B$-Meson Form Factors with Chiral and Heavy-Quark Constraints