Observation of B-s(0) -> (D)over-bar*(0)phi and search for B-0 -> (D)over-bar(0)phi decays

The first observation of the B-s(0) -> (D) over bar*(0)phi decay is reported, with a significance of more than seven standard deviations, from an analysis of pp collision data corresponding to an integrated luminosity of 3 fb -1 , collected with the LHCb detector at center-of-mass energies of 7 and 8 TeV. The branching fraction is measured relative to that of the topologically similar decay B-0 -> (D) over bar (0)pi(+)pi(-) and is found to be B(B-s(0) -> (D) over bar*(0)phi) = (3.7 +/- 05 +/- 0.3 +/- 0.2) x 10(-5), where the first uncertainty is statistical, the second systematic, and the third from the branching fraction of the B-0 -> (D) over bar (0)pi(+)pi(-) decay. The fraction of longitudinal polarization in this decay is measured to be f(L) = (73 +/- 15 +/- 4)%. The most precise determination of the branching fraction for the B-s(0) -> (D) over bar (0)phi decay is also obtained, B(B-s(0) -> (D) over bar (0)phi) = (3.0 +/- 0.3 +/- 0.2 +/- 0.2) x 10(-5). An upper limit, B(B-s(0) -> (D) over bar (0)phi) < 2.0 (2.3) x 10(-6) at 90% (95%) confidence level is set. A constraint on the omega - phi mixing angle delta is set at vertical bar delta vertical bar < 5.2 degrees (5.5 degrees) at 90% (95%) confidence level.