Probing the nature of the $χ_{c1}(3872)$ state using radiative decays

Abstract

The radiative decays $χ_{c1}(3872)\rightarrowψ(2S)γ$ and $χ_{c1}(3872)\rightarrow J/ψγ$ are used to probe the~nature of the~$χ_{c1}(3872)$ state using proton-proton collision data collected with the LHCb detector, corresponding to an~integrated luminosity of~9fb$^{-1}$. Using the~$B^+\rightarrow χ_{c1}(3872)K^+$decay, the $χ_{c1}(3872)\rightarrow ψ(2S)γ$ process is observed for the first time and the ratio of its partial width to that of the $χ_{c1}(3872)\rightarrow J/ψγ$ decay is measured to be $$ \frac{Γ_{χ_{c1}(3872)\rightarrow ψ(2S)γ}} {Γ_{χ_{c1}(3872)\rightarrow J/ψγ}} = 1.67 \pm 0.21 \pm 0.12 \pm0.04 , $$ where the first uncertainty is statistical, the second systematic and the third is due to the uncertainties on the branching fractions of the $ψ(2S)$ and $J/ψ$ mesons. The measured ratio makes the interpretation of the $χ_{c1}(3872)$ state as a~pure $D^0\bar{D}^{*0}+\bar{D}^0D^{*0}$ molecule questionable and strongly indicates a sizeable compact charmonium or tetraquark component within the $χ_{c1}(3872)$ state.