SU (3) Symmetry and the NonleptonicK-Meson Processes

Abstract

Consequences of the SU(3) octet scheme for the nonleptonic weak interactions are studied in some of the nonleptonic $K$-meson processes. The ${K_1}^0-{K_2}^0$ mass difference and the rates of ${K_2}^0\to 2\gamma$ and ${K_2}^0\to {\pi }^{+}+{\pi }^{-}+\gamma$ decays are discussed. The effect of $\omega -\varphi$ mixing is considered in the ${K_2}^0\to 2\gamma$ decay. The possible violation of the $\left|\Delta I\right|=\frac{1}{2}$ rule in the ${K_2}^0\to 3\pi$ decay is discussed in terms of the $\eta$-meson pole contribution. The characteristic features of $K^{+}\to {\pi }^{+}+{\pi }^0+\gamma$ and $K^{+}\to 3\pi$ decays in our model are also discussed. It is inferred that the rate of $K^{+}\to {\pi }^{+}+{\pi }^0+\gamma$ decay is dominated by the internal bremsstrahlung contribution. A possible effect of a unitary singlet pseudoscalar meson on these problems is also discussed.