Time-dependent and time-integrated angular analysis of B -> phi K(S)(0)pi(0) and phi K(+/-)pi(-/+) RID C-5223-2009

We perform a time-dependent and time-integrated angular analysis of the decays B(0) -> phi K*(892)(0), phi K(2)*(1430)(0), and phi(K pi)(0)*(0) with the final sample of about 465 x 10(6) B (B) over bar pairs recorded with the BABAR detector. Twenty-four parameters are investigated, including the branching fractions, CP-violation parameters, and parameters sensitive to final-state interactions. We use the dependence on the K pi invariant mass of the interference between the scalar and vector or tensor components to resolve discrete ambiguities of the strong and weak phases. We use the time evolution of the B -> phi K(S)(0)pi(0) channel to extract the CP-violation phase difference Delta phi(00) = 0.28 +/- 0.42 +/- 0.04 between the B and (B) over bar decay amplitudes. When the B -> pi K(+/-)pi(-/+) channel is included, the fractions of longitudinal polarization f(L) of the vector-vector and vector-tensor decay modes are measured to be 0.494 +/- 0.034 +/- 0.013 and 0.901(-0.058)(+0.046) +/- 0.037, respectively. This polarization pattern requires the presence of a positive-helicity amplitude in the vector-vector decay from a currently unknown source.