Measurements of Branching Fractions, Polarizations, and Direct CP-Violation Asymmetries in B→ρK∗ and B→f0(980)K∗ Decays

We report searches for B -meson decays to the charmless final states ρ K ∗ and f 0 ( 980 ) K ∗ with a sample of 232 × 10 6 B ¯¯¯ B pairs collected with the BABAR detector at the PEP-II e + e − collider. We measure in units of 10 − 6 the following branching fractions, where the first error quoted is statistical and the second systematic, or upper limits are given at the 90% confidence level : B ( B + → ρ 0 K * + ) < 6.1 , B ( B + → ρ + K * 0 ) = 9.6 ± 1.7 ± 1.5 , B ( B 0 → ρ − K * + ) < 12.0 , B ( B 0 → ρ 0 K * 0 ) = 5.6 ± 0.9 ± 1.3 , B ( B + → f 0 ( 980 ) K * + ) = 5.2 ± 1.2 ± 0.5 , and B ( B 0 → f 0 ( 980 ) K * 0 ) < 4.3 . For the significant modes, we also measure the fraction of longitudinal polarization and the charge asymmetry: f L ( B + → ρ + K * 0 ) = 0.52 ± 0.10 ± 0.04 , f L ( B 0 → ρ 0 K * 0 ) = 0.57 ± 0.09 ± 0.08 , A C P ( B + → ρ + K * 0 ) = − 0.01 ± 0.16 ± 0.02 , A C P ( B 0 → ρ 0 K * 0 ) = 0.09 ± 0.19 ± 0.02 , and A C P ( B + → f 0 ( 980 ) K * + ) = − 0.34 ± 0.21 ± 0.03