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Flavor SU(4) breaking between effective couplings

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arxiv 1111.3647 v1 pith:JJBOGHUQ submitted 2011-11-15 nucl-th hep-exhep-lathep-phnucl-ex

Bruno El-Bennich , Gastão Krein , Lei Chang , Craig D. Roberts , David J. Wilson This is my paper
classification nucl-thhep-exhep-lathep-phnucl-ex
keywords flavorrelationscouplingssymmetryaccuracyaccurateanalysesanalyze
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Using a framework in which all elements are constrained by Dyson-Schwinger equation studies in QCD, and therefore incorporates a consistent, direct and simultaneous description of light- and heavy-quarks and the states they constitute, we analyze the accuracy of SU(4)-flavor symmetry relations between {\pi}{\rho}{\pi}, K{\rho}K and D{\rho}D couplings. Such relations are widely used in phenomenological analyses of the interactions between matter and charmed mesons. We find that whilst SU(3)-flavor symmetry is accurate to 20%, SU(4) relations underestimate the D{\rho}D coupling by a factor of five.

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  1. Hadrons in group expansion

    hep-ph 2025-06 conditional novelty 4.0 of 10

    Ground-state baryon masses are parametrized by mixing SU(4) flavor representations, with estimated Sigma_c being 72% 20M and 28% 20S, and Xi_c being 90% anti-triplet and 10% sextet.

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