Clean prediction of CP-violating processes psi, phi, and Gamma decay to KSKS and KLKL

The ratio of K(S)K(S) (K(L)K(L)) and K(L)K(L) production rates is calculated by considering K(0) - K(0) oscillation in J/psi --> K(0)K(0) decay. The theoretical uncertainty due to strong interaction in J/psi decay is completely canceled in the ratio; therefore, the absolute branching fractions of the CP-violating processes of J/psi --> K(S)K(S) and K(L)K(L) can be cleanly and model-independently determined in the case that J/psi K(S)K(L) decay is precisely measured. In the future tau-charm factory, the expected CP violating process of J/psi --> K(S)K(S) should be reached. It is important to measure J/psi to K(S)K(S) and K(S)K(L) decays simultaneously, so that many systematic errors will be canceled. More precise measurements are suggested to examine the predicted isospin relation in J/psi --> KK decays. All results can be extended to decays of other vector quarkonia, phi, psi(2S), and gamma(1S), etc.