Studies of the resonance structure in D[superscript 0] → K[0 over S]K[superscript ±]π[superscript ∓] decays

Abstract

Amplitude models are applied to studies of resonance structure in D[superscript 0] → K[0 over S]K[superscript -]π[superscript +] and D[superscript 0] → K[0 over S]K[superscript +]π[superscript -] decays using pp collision data corresponding to an integrated luminosity of 3.0 fb[superscript -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[superscript 2] around the K[superscript *](892)[superscript ±] resonance. Two formulations for the Kπ S-wave are used, both of which give a good description of the data. The ratio of branching fractions B(D[superscript 0] → K[0 over S]K[superscript +]π[superscript -])/B(D[superscript 0] → K[0 over S]K[superscript -]π[superscript +]) 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[superscript *](892)K amplitudes of different charges are compared with the amplitude model results.