Unified study of $J/\psi \to PV$, $P{\gamma }^{(\ast )}$ and light hadron radiative processes

Abstract

Within the framework of the effective Lagrangian approach, we perform a thorough analysis of the $J/\psi \to P\gamma ({\gamma }^{\ast })$, $J/\psi \to VP$, $V\to P\gamma ({\gamma }^{\ast })$, $P\to V\gamma ({\gamma }^{\ast })$ and $P\to \gamma \gamma ({\gamma }^{\ast })$ processes, where $V$ stand for light vector resonances, $P$ stand for light pseudoscalar mesons, and ${\gamma }^{\ast }$ subsequently decays into lepton pairs. The processes with light pseudoscalar mesons $\eta$ and ${\eta }^{\prime }$ 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 $J/\psi \to \eta ({\eta }^{\prime }){\gamma }^{(\ast )}$ processes are predominantly dominated by the $J/\psi \to {\eta }_c{\gamma }^{\ast }\to \eta ({\eta }^{\prime }){\gamma }^{(\ast )}$ mechanism. Predictions for the $J/\psi \to P{\mu }^{+}{\mu }^{-}$ are presented. A detailed discussion on the interplay between electromagnetic and strong transitions in the $J/\psi \to VP$ decays is given.

29 pages, 8 figures and 6 tables. References added. Accepted by Phys.Rev.D

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Cited by in corpus (13)

• Masses and decay constants of the $\eta$ and ${\eta }^{\prime }$ mesons from lattice QCD
• ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\nu }_{\tau }\gamma$ decays as backgrounds in the search for second class currents
• Analysis of the J/psi --> pi^0 gamma^* transition form factor
• Axion-meson mixing in light of recent lattice $\eta$-${\eta }^{\prime }$ simulations and their two-photon couplings within $U(3)$ chiral theory
• Revisit of tensor-meson nonet in resonance chiral theory
• Effective-Lagrangian study of ${\psi }^{\prime }(J/\psi )\to VP$ and the insights into $\rho \pi$ puzzle
• A study of $\rho -\omega$ mixing in resonance chiral theory
• Study on the radiative decays of $h_c$ via intermediate meson loops model
• Khuri-Treiman analysis of $J/\psi \to {\pi }^{+}{\pi }^{-}{\pi }^0$
• Study of the electromagnetic Dalitz decay $J/\psi \to e^{+}{e}^{-}{\pi }^0$
• Momentum-dependence of $\rho -\omega$ mixing in the pion vector form factor and its effect on $(g-2{)}_{\mu }$
• QCD analysis of the $P$-wave charmonium electromagnetic Dalitz decays $h_c\to {\eta }^{(\prime )}{\ell }^{+}{\ell }^{-}$
• Dispersive analysis of the $J/\psi \to {\pi }^0{\gamma }^{\ast }$ transition form factor with $\rho$-$\omega$ mixing effects