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Dynamical Generation of Linear $σ$ model SU(3) Lagrangian and Meson Nonet Mixing

R. Delbourgo·M. D. Scadron
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Abstract

This paper is the SU(3) extension of the dynamically generated SU(2) linear $σ$ model Lagrangian worked out previously using dimensional regularization. After discussing the quark-level Goldberger-Treiman relations for SU(3) and the related gap equations, we dynamically generate the meson cubic and quartic couplings. This also constrains the meson-quark coupling constant to $g=2π/\sqrt3$ and determines the SU(3) scalar meson masses in a Nambu-Jona-Lasinio fashion. Finally we dynamically induce the U(3) pseudoscalar and scalar mixing angles in a manner compatible with data.

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R. Delbourgo, M. D. Scadron. 1998-07-27. Dynamical Generation of Linear $σ$ model SU(3) Lagrangian and Meson Nonet Mixing. https://doi.org/10.1142/s0217751x98000299

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