K±→π±π0γDecays in a Current-Current Quark Model

Abstract

The decay rates for $K^{\pm }\to {\pi }^{\pm }{\pi }^0\gamma$ are calculated in a zero-parameter modified fermion-loop model first proposed by Rockmore and Wong. The weak Hamiltonian is phenomenologically constructed from one-baryon octet matrix elements. The predicted branching ratio $r=\frac{R(K^{\pm }\to {\pi }^{\pm }{\pi }^0\gamma ; 55\le T_{{\pi }^{\pm }}\le 90 \mathrm{MeV})}{R(K^{\pm }\to \mathrm{all})}=1.56\mathrm{}\times {10}^{-5\mathrm{}}$ is in excellent agreement with the recent experimental result of Abrams et al.