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We present results on time-dependent CP-violating asymmetries in neutral
B decays to several CP eigenstates. The measurements use a data sample
of about 88 million Y(4S) --> B B
decays collected between 1999 and 2002 with the BABAR detector at the
PEP-II asymmetric-energy B Factory at SLAC. We study events in which one
neutral B meson is fully reconstructed in a final state containing a
charmonium meson and the other B meson is determined to be either a B0
or B0
from its decay products. The amplitude of the CP-violating asymmetry,
which in the Standard Model is proportional to sin2b,
is derived from the decay-time distributions in such events. We measure
sin2b = 0.741 +/- 0.067 (stat) +/- 0.034 (syst)
and l = 0.948 +/- 0.051 (stat) +/- 0.030 (syst).
The magnitude of lambda is consistent with unity, in agreement with the
Standard Model expectation of no direct CP violation in these modes
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