Heavy-light mesons spectra in a contact interaction

TL;DR

This paper calculates the spectrum and decay constants of heavy-light mesons across multiple channels using a simplified contact interaction model within a symmetry-preserving Schwinger-Dyson framework, achieving results consistent with experimental data.

Contribution

It extends previous Schwinger-Dyson equation analyses to include heavy-light mesons in a unified contact interaction model, demonstrating good agreement with experimental and advanced theoretical results.

Findings

Meson masses agree with experimental data

Decay constants are accurately predicted

Model simplifies calculations while maintaining accuracy

Abstract

We present the spectrum and decay constants of heavy-light mesons in four different channels: pseudo-scalar, vector, scalar and axial vector. We extend the framework for our previous analysis in a unified symmetry-preserving Schwinger-Dyson equations treatment of a vector$\times$vectord contact interaction. Despite the simplicity of our model, the results found for the meson masses are in good agreement experimental data and earlier model calculations based upon Schwinger-Dyson and Bethe-Salpeter equations (BSEs) involving sophisticated interaction kernels.