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Pseudoscalar and vector mesons as q\bar{q} bound states

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arxiv nucl-th/0412058 v1 pith:PNU3MWHL submitted 2004-12-15 nucl-th

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keywords massmesonsboundresultsstatesvectoragreementelectromagnetic
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Two-body bound states such as mesons are described by solutions of the Bethe-Salpeter equation. We discuss recent results for the pseudoscalar and vector meson masses and leptonic decay constants, ranging from pions up to c\bar{c} bound states. Our results are in good agreement with data. Essential in these calculation is a momentum-dependent quark mass function, which evolves from a constituent-quark mass in the infrared region to a current-quark mass in the perturbative region. In addition to the mass spectrum, we review the electromagnetic form factors of the light mesons. Electromagnetic current conservation is manifest and the influence of intermediate vector mesons is incorporated self-consistently. The results for the pion form factor are in excellent agreement with experiment.

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    hep-ph 2026-02 accept novelty 3.0 of 10

    A pedagogical guide to constructing symmetry-adapted tensor bases and momentum variables for n-point correlation functions in Euclidean quantum field theory.

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