Instantaneous Bethe-Salpeter Look at the Lightest Pseudoscalar Mesons

TL;DR

This paper presents a refined approach to modeling light pseudoscalar mesons as nearly massless quark-antiquark bound states using a three-dimensional Bethe-Salpeter framework that incorporates detailed light-quark propagator behavior.

Contribution

It introduces a more precise characterization of effective interquark interactions by considering the full pointwise behavior of light-quark propagators within a Bethe-Salpeter bound-state equation.

Findings

Enhanced understanding of meson structure

More accurate modeling of quark interactions

Improved agreement with experimental data

Abstract

Within our description of Goldstone-type pseudoscalar mesons as almost massless bound states of quark and antiquark by a three-dimensional bound-state equation of Bethe-Salpeter origin, taking into account the pointwise behaviour of the full light-quark propagators enables to characterize the effective interquark interactions more precisely than earlier studies exploiting just specific aspects.