Interactions of Charmed Mesons with Light Pseudoscalar Mesons from Lattice QCD and Implications on the Nature of the D_{s0}^*(2317)

TL;DR

This study uses lattice QCD to analyze meson interactions, providing insights into the structure of the $D_{s0}^*(2317)$ and predicting its decay width, supporting its interpretation as a $DK$ molecule.

Contribution

First lattice QCD calculation of light pseudoscalar and charmed meson scattering lengths using a relativistic charm formulation and chiral unitary extrapolation.

Findings

Results support $D_{s0}^*(2317)$ as a $DK$ molecule.

Predicted decay width of $D_{s0}^*(2317)$ to $D_s o D o 133 keV.

Provided scattering lengths for multiple meson channels.

Abstract

We study the scattering of light pseudoscalar mesons ($\pi$, $K$) off charmed mesons ($D$, $D_s$) in full lattice QCD. The S-wave scattering lengths are calculated using L\"uscher's finite volume technique. We use a relativistic formulation for the charm quark. For the light quark, we use domain-wall fermions in the valence sector and improved Kogut-Susskind sea quarks. We calculate the scattering lengths of isospin-3/2 $D\pi$, $D_s\pi$, $D_sK$, isospin-0 $D\bar{K}$ and isospin-1 $D\bar{K}$ channels on the lattice. For the chiral extrapolation, we use a chiral unitary approach to next-to-leading order, which at the same time allows us to give predictions for other channels. It turns out that our results support the interpretation of the $D_{s0}^*(2317)$ as a $DK$ molecule. At the same time, we also update a prediction for the isospin breaking hadronic decay width $\Gamma(D_{s0}^*(2317)\to D_s\pi)$ to $(133\pm22)$ keV.