Goldstonic pseudoscalar mesons in Bethe-Salpeter-inspired setting

TL;DR

This paper investigates a Bethe-Salpeter-inspired bound-state equation to analyze light pseudoscalar mesons, focusing on their mass behavior and consistency with generalized Gell-Mann-Oakes-Renner relations.

Contribution

It introduces a modified two-particle bound-state equation that better reflects Bethe-Salpeter dynamics and examines its implications for pseudoscalar meson properties.

Findings

Lightest pseudoscalar mesons' behavior aligns with generalized Gell-Mann-Oakes-Renner relation.

The effective interaction kernel ensures bound-state mass vanishes as constituent mass approaches zero.

The approach provides insights into chiral symmetry breaking in meson spectra.

Abstract

For a two-particle bound-state equation closer to its Bethe-Salpeter origins than Salpeter's equation, with effective-interaction kernel deliberately forged such as to ensure, in the limit of zero mass of the bound-state constituents, the vanishing of the arising bound-state mass, we scrutinize the emerging features of the lightest pseudoscalar mesons for their agreement with the behaviour predicted by a generalization of the Gell-Mann-Oakes-Renner relation.