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Study of light-meson resonances decaying to 𝐾0S𝐾𝜋 in the 𝐵 →(𝐾0S𝐾𝜋)𝐾 channels
A study is presented of 𝐵+ →𝐾0S𝐾−𝜋+𝐾+ and 𝐵+ →𝐾0S𝐾+𝜋−𝐾+ decays based on the analysis of proton-proton collision data collected with the LHCb detector at center-of-mass energies of 7, 8 and 13 TeV, corresponding to an integrated luminosity of 9 fb−1. The 𝐾0S𝐾𝜋 invariant-mass distributions of both 𝐵+ decay modes show, in the 𝑚(𝐾0S𝐾𝜋) <1.85 GeV mass region, large activity which is resolved using an amplitude analysis. A simple model, where 𝐽𝑃𝐶 amplitudes are described by multiple Breit-Wigner functions with appropriate angular distributions, provides a good description of the experimental data. In this approach a complex mixture of 𝐽𝑃𝐶 =0−+, 1++ and 1+− amplitudes is observed that is dominated by 𝜂(1405), 𝜂(1470), 𝜂(1760), 𝑓1(1285), 𝑓1(1420) and ℎ1(1405) resonances. The 𝐾0S𝐾𝜋 Dalitz plots are dominated by asymmetric crossing 𝐾*¯𝐾 bands which are different for the two 𝐵+ decay modes. This is due to a different interference pattern between the 1++ and 1+− amplitudes in the two channels. Branching fractions are measured for each resonant contribution.