Abstract

A model for $K\ensuremath{\rightarrow}3\ensuremath{\pi}$ 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 $K\ensuremath{\rightarrow}3\ensuremath{\pi}$ slopes and average amplitude ratios are then determined in terms of one parameter characterizing the $\ensuremath{\Delta}I=\frac{1}{2}$ part of the weak Hamiltonian. Estimates are made of the effects of a $\ensuremath{\Delta}I=\frac{3}{2}$ contribution to the weak interaction.

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