Proposed experiment addressingCPandCPTviolation in theK0-K¯0system

An experiment utilizing the decay φ→$K_S$ $K_L$ is proposed for measuring the ratio ε’/ε of CP-violating parameters in the kaon system. It appears one can probe values of ε’/ε down to ${10}^{\mathrm{-}3}$ with ${10}^9$ φ’s. An asymmetry measurement of the relative times of ${\pi }^{+}$ ${\pi }^{\mathrm{-}}$ and ${\pi }^0$ ${\pi }^0$ decays is capable of testing the phase difference ${\phi }_{+\mathrm{-}}$-${\phi }_{00}$ to ±${1.6}^0$ (3σ), with ${10}^{10}$ φ’s. Far fewer φ’s (perhaps ${10}^8$) can be useful in constraining some parameters of the kaon system associated with CPT violations.