Studies of the resonance structure in D 0 → K S 0 K ± π ∓ decays
Amplitude models are applied to studies of resonance structure in D 0 → K 0 S K – π + and D 0 → K 0 S K + π – decays using pp collision data corresponding to an integrated luminosity of 3.0 fb –1 collected by the LHCb experiment. Relative magnitude and phase information is determined, and coherence factors and related observables are computed for both the whole phase space and a restricted region of 100 MeV/c 2 around the K *(892) ± resonance. Two formulations for the K π S -wave are used, both of which give a good description of the data. The ratio of branching fractions B( D 0 → K 0 S K + π – )/B( D 0 → K 0 S K – π + ) is measured to be 0.655±0.004(stat)±0.006(syst) over the full phase space and 0.370 ± 0.003 (stat) ± 0.012 (syst) in the restricted region. A search for CP violation is performed using the amplitude models and no significant effect is found. Predictions from SU(3) flavor symmetry for K *(892) K amplitudes of different charges are compared with the amplitude model results.