Measurement of time-dependent CP asymmetry in B^0-->c[overline c]K^(*)0 decays

We present updated measurements of time-dependent CP asymmetries in fully reconstructed neutral B decays containing a charmonium meson. The measurements reported here use a data sample of (465±5)×10^6 Upsilon(4S)-->B[overline B] decays collected with the BABAR detector at the PEP-II asymmetric energy e^+e^- storage rings operating at the SLAC National Accelerator Laboratory. The time-dependent CP asymmetry parameters measured from JpsiK_S^0, JpsiK_L^0, psi(2S)K_S^0, eta_cK_S^0, chi_(c1)K_S^0, and J/psiK^*(892)^0 decays are: C_f=0.024±0.020(stat)±0.016(syst) and eta_fS_f=0.687±0.028(stat)±0.012(syst).