Dalitz plot analysis of B0→D¯0π+π- decays

Abstract

The resonant substructures of B0 → D0π +π − decays are studied with the Dalitz plot technique. In this study a data sample corresponding to an integrated luminosity of 3.0 fb−1 of pp collisions collected by the LHCb detector is used. The branching fraction of the B0 → D0π +π − decay in the region m(D0π ±) > 2.1 GeV/c2 is measured to be (8.46 ± 0.14 ± 0.29 ± 0.40) × 10−4 , where the first uncertainty is statistical, the second is systematic and the last arises from the normalisation channel B0 → D∗ (2010)−π +. The π +π − S-wave components are modelled with the Isobar and K-matrix formalisms. Results of the Dalitz plot analyses using both models are presented. A resonant structure at m(D0π −) ≈ 2.8 GeV/c2 is confirmed and its spin-parity is determined for the first time as J P = 3−. The branching fraction, mass and width of this structure are determined together with those of the D∗ 0 (2400)− and D∗ 2 (2460)− resonances. The branching fractions of other B0 → D0h 0 decay components with h 0 → π +π − are also reported. Many of these branching fraction measurements are the most precise to date. The first observation of the decays B0 → D0f0(500), B0 → D0f0(980), B0 → D0ρ(1450), B0 → D∗ 3 (2760)−π + and the first evidence of B0 → D0f0(2020) are presented.