A unified model of K - and π -mesons

Abstract

On the foundation of an antecedent non-linear meson field theory it is suggested that the π -meson fields may be described in terms of collective motions of the K -meson fields. A particular model of the K -nucleon interaction is considered whose collective π -modes have symmetrical PV coupling with the nucleon system; parity is conserved to a great extent for the π -nucleon system in the absence of strange particles. The direct K -nucleon interactions do not conserve parity; their sign and symmetry are qualitatively acceptable. The masses and coupling constants of the meson fields are determinate in terms of one universal coupling constant and a cut-off. The structure of this model suggests a natural way for the introduction of the ‘spurion’, describing weak interactions that violate strangeness.