CP conserved nonleptonic $K \to \pi \pi \pi $ decays in the Chiral Quark Model

Abstract

The CP conserved non leptonic $K\to \pi \pi \pi$ decays are discussed within the chiral quark model, including chiral perturbation theory corrections. All amplitudes are parameterized in terms of quark and gluon condensate and the constituent quark mass. The same values for these parameters that can be obtained by a fit of the $\Delta I = 1/2$ rule in $K\to 2 \pi$ give a reasonably good fit in the $K\to 3 \pi$ case. We compare with the work of other groups.