Study of charmonium decays to $K_S^{0}K\ddot{I}€$ in the $B\to (K_S^{0}K\ddot{I}€)K$ channels

Abstract

A study of the $B^{+}\to K_S^0{K}^{+}{K}^{-}\ddot{I}{€}^{+}$ and $B^{+}\to K_S^0{K}^{+}{K}^{+}\ddot{I}{€}^{-}$ decays is performed using proton-proton collisions at center-of-mass energies of 7, 8 and 13 TeV at the LHCb experiment. The $K_S^{0}K\ddot{I}€$ invariant mass spectra from both decay modes reveal a rich content of charmonium resonances. New precise measurements of the $\hat{I}{\cdot }_c$ and $\hat{I}{\cdot }_c(2S)$ resonance parameters are performed and branching fraction measurements are obtained for $B^{+}$ decays to $\hat{I}{\cdot }_c$, $J/\ddot{I}ˆ$, $\hat{I}{\cdot }_c(2S)$ and $\ddot{I}{‡}_{c1}$ resonances. In particular, the first observation and branching fraction measurement of $B^{+}\to \ddot{I}{‡}_{c0}{K}^0\ddot{I}{€}^{+}$ is reported as well as first measurements of the $B^{+}\to K^0{K}^{+}{K}^{-}\ddot{I}{€}^{+}$ and $B^{+}\to K^0{K}^{+}{K}^{+}\ddot{I}{€}^{-}$ branching fractions. Dalitz plot analyses of $\hat{I}{\cdot }_c\to K_S^{0}K\ddot{I}€$ and $\hat{I}{\cdot }_c(2S)\to K_S^{0}K\ddot{I}€$ decays are performed. A new measurement of the amplitude and phase of the $K\ddot{I}€$ $S$-wave as functions of the $K\ddot{I}€$ mass is performed, together with measurements of the $K_0^{\ast }(1430)$, $K_0^{\ast }(1950)$ and $a_0(1700)$ parameters. Finally, the branching fractions of $\ddot{I}{‡}_{c1}$ decays to $K^{\ast }$ resonances are also measured.

All figures and tables, along with any supplementary material and additional information, are available at https://cern.ch/lhcbproject/Publications/p/LHCb-PAPER-2022-051.html (LHCb public pages)