Search for ηc decays into ππ and K(K)over-bar

Using 58 million J/psi) events taken with the BESII detector, a search for eta(c) CP violating decays into pi pi and K (K) over bar has been performed. No clear 77, signal is observed, and upper limits for B(eta(c) -> pi pi) and B(eta(c) -> K (K) over bar) are given at the 90% confidence level, B(J/psi -> gamma eta(c)) center dot B(eta(c) -> pi(+)pi(-)) < 1.1 x 10(-5), B(J/psi -> gamma eta(c)) center dot B(eta(c) -> pi(0)pi(0)) < 0.71 x 10(-5), B(J/psi -> gamma(eta c)) center dot B(eta(c) -> K+K-) < 0.96 x 10(-5), and B(J/psi -> gamma eta(c)) center dot B(eta(c) (KSKS0)-K-0) < 0.53 x 10(-5).