Open-Flavour Mesons from the Angle of Bethe, Dyson, Salpeter, Schwinger, et al

TL;DR

This paper employs a unified framework combining Bethe-Salpeter and Dyson-Schwinger equations to analyze the entire meson spectrum, including open-flavour mesons, providing insights into their masses, decay constants, and in-hadron condensates.

Contribution

It introduces a comprehensive approach using a single setup to study both quarkonia and open-flavour mesons, deriving their properties across different models of strong interactions.

Findings

Calculated meson masses and decay constants

Analyzed dependence on effective interaction models

Provided data on in-hadron condensates for pseudoscalar mesons

Abstract

Recently, we completed a comprehensive investigation of a huge part of the entire meson spectrum by considering both quarkonia and open-flavour mesons by means of a single common framework which unites the homogeneous Bethe-Salpeter equation that describes mesons as quark-antiquark bound states and the Dyson-Schwinger equation that governs the full quark propagator: Adopting two (as a matter of fact, not extremely diverse) models that attempt to grasp all principal aspects of the effective strong interactions entering identically in both these equations, we derived within this unique setup, for all mesons analysed, their masses and leptonic decay constants as well as, for the pseudoscalar ones among these mesons, their in-hadron condensates. Here, as a kind of promotion or teaser, we give but a few examples of the resulting collections of data, laying the main emphasis on the dependence of our insights on the effective-interaction model underlying all such outcomes.