Measurement of two-photon decay width of $χ_{c2}(1P)$ in $ γγ\rightarrow χ_{c2}(1P) \rightarrow J/ψγ$ at Belle
We report the measurement of the two-photon decay width of $χ_{c2}(1P)$ in two-photon processes at the Belle experiment. We analyze the process $ γγ\rightarrow χ_{c2}(1P) \rightarrow J/ψγ$, $J/ψ\rightarrow \ell^{+} \ell^{-}$ $(\ell = e \ {\rm or} \ μ)$ using a data sample of 971 fb$^{-1}$ collected with the Belle detector at the KEKB $e^{+} e^{-}$ collider. In this analysis, the product of the two-photon decay width of $χ_{c2}(1P)$ and the branching fraction is determined to be $Γ_{γγ}(χ_{c2}(1P)) \mathcal{B}( χ_{c2}(1P) \rightarrow J/ψ\, γ)\mathcal{B}( J/ψ\rightarrow \ell^+\ell^- ) = {\rm 14.8}$ $\pm$ ${\rm 0.3}({\rm stat.})$ $\pm$ ${\rm 0.7}({\rm syst.})$ eV, which corresponds to $ Γ_{γγ}(χ_{c2}(1P)) $ = 653 $\pm$ 13(stat.) $\pm$ 31(syst.) $\pm$ 17(B.R.) eV, where the third uncertainty is from $\mathcal{B}( χ_{c2}(1P) \rightarrow J/ψ\, γ)$ and $\mathcal{B}( J/ψ\rightarrow \ell^+\ell^- )$.