Goldstonic pseudoscalar mesons in Bethe-Salpeter-inspired setting
Wolfgang Lucha, Franz F. Schoberl

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.
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