Vector and Axial-Vector Meson Dominance in theK3πDecays

A model for $K\to 3\pi$ decays is proposed in which the amplitudes are assumed to be dominated by vector and axial-vector meson poles. $S$-wave and $P$-wave amplitudes are treated on the same footing in this scheme. The strong-coupling constants appearing in the model can be determined from strong decays. The $K\to 3\pi$ slopes and average amplitude ratios are then determined in terms of one parameter characterizing the $\Delta I=\frac{1}{2}$ part of the weak Hamiltonian. Estimates are made of the effects of a $\Delta I=\frac{3}{2}$ contribution to the weak interaction.