Measurement of the inclusive charmless semileptonic branching ratio of B mesons and determination of vertical bar V-ub vertical bar

We report a measurement of the inclusive charmless semileptonic branching fraction of B mesons in a sample of 89x10(6) B(b) over bar events recorded with the BABAR detector at the Y(4S) resonance. Events are selected by fully reconstructing the decay of one B meson and identifying a charged lepton from the decay of the other B meson. The number of signal events is extracted from the mass distribution of the hadronic system accompanying the lepton and is used to determine the ratio of branching fractions B((B) over bar --> X(u)l (v) over bar)/B((B) over bar --> Xl (v) over bar) = [2.06 +/- 0.25(stat) +/- 0.23(syst) +/- 0.36(theo)] x 10(-2). Using the measured branching fraction for inclusive semileptonic B decays, we find B((B) over bar --> X(u)l (V) over bar) = [2.24+/-0.27(stat) +/- 0.26(syst) +/- 0.39(theo)] x 10(-3) and derive the Cabibbo-Kobayashi-Maskawa matrix element parallel toV(ub)parallel to = [4.62 +/- 0.28(stat) +/- 0.27(syst) +/- 0.48(theo)] x 10(-3).