Scalar Mesons and Axial-vector Mesons Via Dyson-Schwinger Equation and Bethe-Salpeter Equation Approach

TL;DR

This paper investigates the spectrum of scalar and axial-vector mesons using Dyson-Schwinger and Bethe-Salpeter equations, proposing an interaction model that aligns well with experimental data across various meson types.

Contribution

It introduces a new interaction model with a repulsive term, effective for describing heavy, heavy-light, and light scalar and axial-vector mesons within the Dyson-Schwinger and Bethe-Salpeter framework.

Findings

Results align with experimental data and other models.

The proposed interaction model is effective across different meson types.

Consistent description of scalar and axial-vector meson spectra.

Abstract

In this work, I studied the spectrum of scalar mesons and axial-vector mesons via Dyson-Schwinger equation and Bethe-Salpeter equation approach in the rainbow-ladder approximation. An interaction model with a repulsive term added to the one used for the pseudoscalar and vector mesons is proposed. My results are consistent with the experiment data and other model results, which shows that this interaction model is effective for all the heavy, heavy-light, and light scalar and axial-vector mesons.