Abstract
We consider the chiral Lagrangian with a nonet of Goldstone bosons and a nonet of light vector mesons. The mixing between the pseudoscalar mesons \( \eta\) and \( \eta^{\prime}\) is taken into account. A novel counting scheme is suggested that is based on hadrogenesis, which conjectures a mass gap in the meson spectrum of QCD in the limit of a large number of colors. Such a mass gap would justify to consider the vector mesons and the \( \eta^{\prime}\) meson as light degrees of freedom. The complete leading-order Lagrangian is constructed and discussed. As a first application it is tested against electromagnetic transitions of light vector mesons to pseudoscalar mesons. Our parameters are determined by the experimental data on photon decays of the \( \omega\) , \( \phi\) and \( \eta^{\prime}\) mesons. In terms of such parameters we predict the corresponding decays into virtual photons with either dielectrons or dimuons in the final state.
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Terschlüsen, C., Leupold, S. & Lutz, M.F.M. Electromagnetic transitions in an effective chiral Lagrangian with the \( \eta^{{\prime}}_{}\) and light vector mesons. Eur. Phys. J. A 48, 190 (2012). https://doi.org/10.1140/epja/i2012-12190-6
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DOI: https://doi.org/10.1140/epja/i2012-12190-6