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

TL;DR

This paper analyzes lattice QCD data in the open-charm sector using a chiral SU(3) Lagrangian, incorporating recent scattering data and left-hand cut effects, to predict phase shifts and resonances at physical quark masses.

Contribution

It introduces a coupled-channel analysis with a generalized potential approach including left-hand cuts, providing new insights into open-charm meson interactions and resonance predictions.

Findings

Reproduces lattice QCD scattering phase shifts with high accuracy.

Predicts a resonance at about 2.287 GeV in the $D_s \, \pi$ channel.

Provides precise phase shift predictions at physical quark masses.

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 $D\,\pi$, $D K $ 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.