Structure of theK→πVertex and NonleptonicK-Meson Processes in the Pole Model

Abstract

A plausible estimate of the strength of the $K\ensuremath{-}\ensuremath{\pi}$ vertex is made, consistent with the rate of $K\ensuremath{\rightarrow}3\ensuremath{\pi}$ decay as well as with independent estimates based on current algebra and partially conserved axial-vector current (PCAC), on the one hand, and a dynamical model of hyperon decays on the other. The implications of this value for the $K\ensuremath{-}\ensuremath{\pi}$ vertex on related $K$-meson processes of current interest are discussed. The results are consistent with the octet transformation property of the strangeness-changing weak nonleptonic interaction.