Measurements of branching fractions, polarizations, and direct CP-violation asymmetries in B{sup +}{yields}{rho}{sup 0}K{sup *+} and B{sup +}{yields}f{sub 0}(980)K{sup *+} decays

We present measurements of the branching fractions, longitudinal polarization, and direct CP-violation asymmetries for the decays B{sup +}{yields}{rho}{sup 0}K*{sup +} and B{sup +}{yields}f{sub 0}(980)K*{sup +} with a sample of (467{+-}5)x10{sup 6}BB pairs collected with the BABAR detector at the PEP-II asymmetric-energy e{sup +}e{sup -} collider at the SLAC National Accelerator Laboratory. We observe B{sup +}{yields}{rho}{sup 0}K{sup *+} with a significance of 5.3{sigma} and measure the branching fraction B(B{sup +}{yields}{rho}{sup 0}K{sup *+})=(4.6{+-}1.0{+-}0.4)x10{sup -6}, the longitudinal polarization f{sub L}=0.78{+-}0.12{+-}0.03, and the CP-violation asymmetry A{sub CP}=0.31{+-}0.13{+-}0.03. We observe B{sup +}{yields}f{sub 0}(980)K*{sup +} and measure the branching fraction B(B{sup +}{yields}f{sub 0}(980)K*{sup +})xB(f{sub 0}(980){yields}{pi}{sup +}{pi}{sup -})=(4.2{+-}0.6{+-}0.3)x10{sup -6} and the CP-violation asymmetry A{sub CP}=-0.15{+-}0.12{+-}0.03. The first uncertainty quoted is statistical and the second is systematic.