Amplitude analysis of the $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decay

Abstract

Results are reported from an amplitude analysis of the $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decay. The analysis is carried out using LHCb proton-proton collision data taken at $\sqrt{s}=7,8,$ and $13$ TeV, corresponding to a total integrated luminosity of 9 fb${}^{-1}$. In order to obtain a good description of the data, it is found to be necessary to include new spin-0 and spin-1 resonances in the $D^{-}{K}^{+}$ channel with masses around 2.9 GeV$/c^2$, and a new spin-0 charmonium resonance in proximity to the spin-2 $\ddot{I}{‡}_{c2}(3930)$ state. The masses and widths of these resonances are determined, as are the relative contributions of all components in the amplitude model, which additionally include the vector charmonia $\ddot{I}ˆ(3770)$, $\ddot{I}ˆ(4040)$, $\ddot{I}ˆ(4160)$ and $\ddot{I}ˆ(4415)$ states and a nonresonant component.

All figures and tables, along with any supplementary material and additional information, are available at https://cern.ch/lhcbproject/Publications/p/LHCb-PAPER-2020-025.html (LHCb public pages). v2 adds arXiv identifier for simultaneously-submitted LHCb-PAPER-2020-024. v3 matches published version