Update of Time-Dependent CP Asymmetry Measurements in $b$-->$c\bar{c}s$ Decays

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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 $(465\pm 5)\times 10^6$ $Υ(4S) \to B \bar{B}$ decays collected with the BABAR detector at the PEP-II $B$ factory. The time-dependent CP asymmetry parameters measured from $J/ψK_S^0$, $J/ψK_L^0$, $ψ(2S) K_S^0$, $χ_{c1} K_S^0$, $η_c K_S^0$, and $J/ψK^{*0}$ decays are \begin{eqnarray} C_f &=& 0.026 \pm 0.020(stat) \pm 0.016(syst), S_f &=& 0.691 \pm 0.029(stat) \pm 0.014(syst). \end{eqnarray}
19 pages, 3 postscript figures, submitted to ICHEP2008

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