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Studies of the resonance structure in $D^0\to K^0_S K^{\pm}\pi^{\mp}$ decays

Abstract : Amplitude models are applied to studies of resonance structure in $D^0\to K^0_S K^- \pi^+$ and $D^0\to K^0_S K^+ \pi^-$ decays using $pp$ collision data corresponding to an integrated luminosity of $3.0\,\mathrm{fb}^{-1}$ 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 $100\,\mathrm{MeV/}c^2$ around the $K^{*}(892)^{\pm}$ resonance. Two formulations for the $K\pi$ $S$-wave are used, both of which give a good description of the data. The ratio of branching fractions $\mathcal{B}(D^0\to K^0_S K^+ \pi^-)/\mathcal{B}(D^0\to K^0_S K^- \pi^+)$ is measured to be $0.655\pm0.004\,(\textrm{stat})\pm0.006\,(\textrm{syst})$ over the full phase space and $0.370\pm0.003\, \textrm{stat})\pm0.012\,(\textrm{syst})$ 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.
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Submitted on : Wednesday, September 23, 2015 - 11:09:36 AM
Last modification on : Thursday, December 16, 2021 - 2:11:25 PM

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R. Aaij, Y. Amhis, S. Barsuk, M. Borsato, O. Kochebina, et al.. Studies of the resonance structure in $D^0\to K^0_S K^{\pm}\pi^{\mp}$ decays. Physical Review D, American Physical Society, 2016, 93, pp.052018. ⟨10.1103/PhysRevD.93.052018⟩. ⟨in2p3-01203496⟩



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