Unified study of $J/ψ\to PV$, $Pγ^{(*)}$ and light hadron radiative processes

Within the framework of the effective Lagrangian approach, we perform a thorough analysis of the $J/ψ\to Pγ(γ^*)$, $J/ψ\to VP$, $V\to Pγ(γ^*)$, $P\to Vγ(γ^*)$ and $P\toγγ(γ^*)$ processes, where $V$ stand for light vector resonances, $P$ stand for light pseudoscalar mesons, and $γ^*$ subsequently decays into lepton pairs. The processes with light pseudoscalar mesons $η$ and $η'$ are paid special attention to and the two-mixing-angle scheme is employed to describe their mixing. The four mixing parameters both in singlet-octet and quark-flavor bases are updated in this work. We confirm that the $J/ψ\to η(η^{\prime})γ^{(*)}$ processes are predominantly dominated by the $J/ψ\to η_c γ^{*} \to η(η^{\prime})γ^{(*)}$ mechanism. Predictions for the $J/ψ\to P μ^+μ^-$ are presented. A detailed discussion on the interplay between electromagnetic and strong transitions in the $J/ψ\to VP$ decays is given.

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