Observation of the decay B0s → ψ(2S)K +π−

The decay B0 s → ψ(2S)K +π− is observed using a data set corresponding to an integrated luminosity of 3.0 fb−1 collected by the LHCb experiment in pp collisions at centre-of-mass energies of 7 and 8 TeV. The branching fraction relative to the B0 → ψ(2S)K +π− decay mode is measured to be B(B0 s → ψ(2S)K +π−) B(B0 → ψ(2S)K +π−) = 5.38 ± 0.36 (stat) ± 0.22 (syst) ± 0.31 (f s/ fd)%, where f s/ fd indicates the uncertainty due to the ratio of probabilities for a b quark to hadronise into a B0 s or B0 meson. Using an amplitude analysis, the fraction of decays proceeding via an intermediate K∗(892)0 meson is measured to be 0.645 ± 0.049 (stat) ± 0.049 (syst) and its longitudinal polarisation fraction is 0.524 ± 0.056 (stat) ± 0.029 (syst). The relative branching fraction for this component is determined to be B(B0 s → ψ(2S)K∗(892)0) B(B0 → ψ(2S)K∗(892)0) = 5.58 ± 0.57 (stat) ± 0.40 (syst) ± 0.32 (f s/ fd)%. In addition, the mass splitting between the B0 s and B0 mesons is measured as M(B0 s ) − M(B0) = 87.45 ± 0.44 (stat) ± 0.09 (syst) MeV/c2.