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.

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

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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