We report on a study of the decay (bar B)(sup 0) (yields) D*(sup +) (omega)(pi)(sup -) with the BABAR detector at the PEP-II B-factory at the Stanford Linear Accelerator Center. Based on a sample of 232 million B(sup 0)(bar B)(sup 0) decays collected between 1999 and 2004, we measure the branching fraction (Beta)((bar B)(sup 0) (yields) D*(sup +) (omega)(pi)(sup -)) = (2.88 (+-) 0.21(stat.) (+-) 0.31(syst.)) x 10(sup -3). We study the invariant mass spectrum of the (omega)(pi)(sup -) system in this decay. This spectrum is in good agreement with expectations based on factorization and the measured spectrum in (tau)(sup -) (yields) (omega)(pi)(sup -) (nu)(sub (tau)). We also measure the polarization of the D*(sup +) as a function of the (omega)(pi)(sup -) mass. In the mass region 1.1 to 1.9 GeV we measure the fraction of longitudinal polarization of the D*(sup +) to be (Lambda)(sub L)/(Lambda) = 0.654 (+-) 0.042(stat.) (+-) 0.016(syst.). This is in agreement with the expectations from heavy-quark effective theory and factorization assuming that the decay proceeds as (bar B)(sup 0) (yields) D*(sup +) (rho)(1450)(sup -), (rho)(1450)(sup -) (yields) (omega)(pi)(sup -). Furthermore, we present the results on the time-dependent CP asymmetry in neutral B meson decays to the CP eigenstate J/(psi)K(sub L). The measurements use a data sample of about 88 million (Upsilon)(4S) (yields) B(bar B) decays collected between 1999 and 2002 with the BABAR detector. We study events in which one neutral B meson is fully reconstructed in the J/(psi)K(sub L) final state and the other B meson is determined to be either a B(sup 0) or a (bar B)(sup 0) from its decay products. The amplitude of the CP asymmetry, which in the Standard Model is proportional to sin 2(beta), is derived from the decay-time distributions in such events. We measure sin 2(beta) = 0.723 (+-) 0.158(stat.) (+-) 0.086(syst.), which is consistent with Standard Model expectations.
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