Study of $B_c^+ \rightarrow χ_c π^+$ decays
A study of $B_c^+ \rightarrow χ_c π^+$ decays is reported using proton-proton collision data, collected with the LHCb detector at centre-of-mass energies of 7, 8, and 13 TeV, corresponding to an integrated luminosity of 9fb$^{-1}$. The decay $B_c^+ \rightarrow χ_{c2} π^+$ is observed for the first time, with a significance exceeding seven standard deviations. The relative branching fraction with respect to the $B_c^+ \rightarrow J/ψπ^+$ decay is measured to be $$ \frac{\mathcal{B}_{B_c^+ \rightarrow χ_{c2} π^+}} {\mathcal{B}_{B_c^+ \rightarrow J/ψπ^+}} = 0.37 \pm 0.06 \pm 0.02 \pm 0.01 , $$ where the first uncertainty is statistical, the second is systematic, and the third is due to the knowledge of the $χ_c \rightarrow J/ψγ$ branching fraction. No significant $B_c^+ \rightarrow χ_{c1} π^+$ signal is observed and an upper limit for the relative branching fraction for the $B_c^+ \rightarrow χ_{c1} π^+$ and $B_c^+ \rightarrow χ_{c2} π^+$ decays of $$ \frac{\mathcal{B}_{B_c^+ \rightarrow χ_{c1} π^+}} {\mathcal{B}_{B_c^+ \rightarrow χ_{c2} π^+}} < 0.49 $$ is set at the 90\% confidence level.