Observation of new charmonium(-like) states in $B^+ \to D^{*\pm} D^{\mp} K^+$ decays
A study of resonant structures in $B^{+}\rightarrow{D^{\ast+}D^{-}K^{+}}$ and $B^{+}\rightarrow{D^{\ast-}D^{+}K^{+}}$ decays is performed, using proton-proton collision data at centre-of-mass energies of $\sqrt{s}=7, 8$, and $13$ TeV recorded by the LHCb experiment, corresponding to an integrated luminosity of 9 fb$^{-1}$. A simultaneous amplitude fit is performed to the two channels with contributions from resonances decaying to $D^{\ast-}D^{+}$ and $D^{\ast+}D^{-}$ states linked by $C$ parity. This procedure allows the $C$-parities of resonances in the $D^{\ast\pm}D^{\mp}$ mass spectra to be determined. Four charmonium(-like) states are observed decaying into $D^{\ast\pm}D^{\mp}$: $η_c(3945)$, $h_c(4000)$, $χ_{c1}(4010)$ and $h_c(4300)$, with quantum numbers $J^{PC}$ equal to $0^{-+}$, $1^{+-}$, $1^{++}$ and $1^{+-}$, respectively. At least three of these states have not been observed previously. In addition, the existence of the $T_{\bar{c}\bar{s}0}^{*}(2870)^{0}$ and $T_{\bar{c}\bar{s}1}^{*}(2900)^{0}$ resonances in the $D^-K^+$ mass spectrum, already observed in the $B^+ \to D^+ D^- K^+$ decay, is confirmed in a different production channel.