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This paper is the SU(3) extension of the dynamically generated SU(2) linear$\sigma$ model Lagrangian worked out previously using dimensionalregularization. After discussing the quark-level Goldberger-Treiman relationsfor SU(3) and the related gap equations, we dynamically generate the mesoncubic and quartic couplings. This also constrains the meson-quark couplingconstant to $g=2\pi/\sqrt3$ and determines the SU(3) scalar meson masses in aNambu-Jona-Lasinio fashion. Finally we dynamically induce the U(3) pseudoscalarand scalar mixing angles in a manner compatible with data.Comment: 19 printed pages, requires plain Tex, now published in IJMPA 13, 657  (1998

DYANMICAL GENERATION OF LINEAR σ MODEL SU(3) LAGRANGIAN AND MESON NONET MIXING