Interactions between heavy mesons and Goldstone bosons from chiral dynamics

TL;DR

This paper investigates the interactions between heavy mesons and Goldstone bosons using chiral perturbation theory, focusing on scattering lengths, quark mass dependence, and potential bound states.

Contribution

It introduces a unitarized chiral perturbation theory approach to accurately reproduce lattice QCD results for meson scattering lengths and explores bound state signals.

Findings

Unitarized chiral perturbation theory matches lattice results.

Quark mass dependence of scattering lengths is characterized.

Possible bound states are indicated in the scattering data.

Abstract

We calculate the S-wave scattering lengths for charmed mesons scattering off Goldstone bosons and explore their quark mass dependence using chiral perturbation theory up to next-to-leading order as well as a unitarized version of it. The quark mass dependence of all scattering lengths determined in a recent lattice calculation can be reproduced by the unitarized version. We also discuss signals of possible bound states in these observables.