Analysis ofΔS=1nonleptonic weak decays and theΔI=12rule

Abstract

Current-algebra and quark-model methods are used to investigate hyperon and kaon transition amplitudes for various contributions to the weak nonleptonic Hamiltonian of the Weinberg-Salam model. Substantial enhancements are found for matrix elements of certain operators which are induced by quantum-chromodynamic radiative corrections and contain right-handed currents. These operators improve the agreement with experiment in most cases, although problems remain in $P$-wave hyperon amplitudes. In this approach, the $\Delta I=\frac{1}{2}$ rule is understandable in both kaons and baryons under plausible assumptions.