A plausible estimate of the strength of the K-ir vertex is made, consistent with the rate of K -» 3w 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-ir vertex on related i£-meson processes of current interest are discussed. The results are consistent with the octet transformation property of the strangeness-changing weak nonleptonic interaction.T HE K->w vertex may play an important role in many iT-meson nonleptonic decays. Earlier estimates of this vertex were often based upon the assumption 1 that the K1-K2 mass difference is dominated by the pseudoscalar-meson pole terms. Such a picture, however, leads to Ki being heavier than 2£ 2 [with SU(3)-symmetric weak vertices]. The present experimental indications 2 are that K% is heavier than K\. Assuming this to be true, there does not_seem to be any strong reason to presume that K°<-^K° transition is dominated by the pseudoscalar-meson pole terms. The purpose of this note is to assert that other independent estimates of this vertex based on the hypothesis of partially conserved axial-vector current (PCAC) and current algebra, on the one hand, and hyperon-decay analysis on the other, seem to suggest that the strength of this vertex is in fact smaller (by nearly a factor of 3) than the estimates based on the magnitude 3 of the Ki°-K2° mass difference. This lower value is adopted to update the work of many previous authors on Jameson processes, where the K-±w vertex has been assumed to play an important role.In a preceding paper, 4 the strength of the K + -»7r + vertex was denoted by -\f2m K 2 fw(k 2 ), where k is the 4-momentum associated with the outgoing K or the T line. It was convenient to express f w (k 2 ) as Zg w (k 2 ) -» 0 asF-»0]
M&)=Mo)+g w m-CDIt was shown that a plausible estimate of the strength and the structure of the momentum-dependent part gw(k 2 ), which explains the observed rate of K-> 3w decays, is given by the factorized structure [see Eq*