Study of charmonium decays to K S 0 K π in the B → ( K S 0 K π ) K channels
A study of the B + → $K^0_S$K + K - π + and B + → $K^0_S$K + K + π - decays is performed using proton-proton collisions at center-of-mass energies of 7, 8 and 13 TeV at the LHCb experiment. The $K^0_S$Kπ invariant mass spectra from both decay modes reveal a rich content of charmonium resonances. New precise measurements of the η c and η c (2S) resonance parameters are performed and branching fraction measurements are obtained for B + decays to η c , J/ψ, η c (2S) and χ c1 resonances. In particular, the first observation and branching fraction measurement of B + → χ c0 K 0 π + is reported as well as first measurements of the B + → K 0 K + K - π + and B + → K 0 K + K - π + branching fractions. Dalitz plot analyses of η c → $K^0_S$Kπ and η c (2S) → $K^0_S$Kπ decays are performed. A new measurement of the amplitude and phase of the Kπ S-wave as functions of the Kπ mass is performed, together with measurements of the $K^*_0$(1430), $K^*_0$(1950) and a 0 (1700) parameters. Finally, the branching fractions of χ c1 decays to K* resonances are also measured.