Global Dyson-Schwinger-Bethe-Salpeter Approach to Mesons with Open Flavour

TL;DR

This paper develops a comprehensive Dyson-Schwinger-Bethe-Salpeter framework to predict properties of open-flavour mesons, including masses and decay constants, using a unified model with fixed parameters.

Contribution

It extends previous quarkonium studies to include all open-flavour mesons within a consistent Dyson-Schwinger-Bethe-Salpeter approach, providing new predictions.

Findings

Predicted masses and decay constants of open-flavour mesons.

Established a generalized Gell-Mann-Oakes-Renner relation for these mesons.

Demonstrated the model's applicability across various quark flavor combinations.

Abstract

Exploiting an interplay of the Bethe-Salpeter equation enabling us to regard mesons as bound states of quark and antiquark and the Dyson-Schwinger equation controlling the dressed quark propagator, we amend existing studies of quarkonia by a comprehensive description of open-flavour mesons composed of all conceivable combinations of quark flavour. Employing throughout a fixed set of model parameters, we predict some basic characteristics of these mesons, i.e., their masses, leptonic decay constants and corresponding in-hadron condensates entering in a generalized formulation of the Gell-Mann-Oakes-Renner relation.