Abstract

A field-theoretical model is discussed, in which a fermion triplet field is coupled to pseudoscalar, scalar, vector and axial vector meson nonets. A symmetry-breaking mechanism is introduced by postulating that some of the vacuum expectation values of the scalar field operators do not vanish. The currents satisfy broken partial-conservation equations which agree with the postulates of the Cabibbo theory of weak interactions. They generate also, even when the Lagrangian is not invariant, a fullSU 3×SU 3 algebra. In order to induce a meson mass breaking, the existence of a nonlinear meson-meson interaction plays an important role. The observed values of the pseudoscalar meson masses enable one to calculate most of the meson-meson coupling constants and, then, to predict the masses of the scalar mesons.

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