Understanding the radiative decays of vector charmonia to light pseudoscalar mesons

Abstract

We show that the newly measured branching ratios of vector charmonia ($J/\psi$, ${\psi }^{\prime }$ and $\psi (3770))$ into $\gamma P$, where $P$ stands for light pseudoscalar mesons ${\pi }^0$, $\eta$, and ${\eta }^{\prime }$, can be well understood in the framework of vector meson dominance (VMD) in association with the ${\eta }_c$-$\eta ({\eta }^{\prime })$ mixings due to the axial gluonic anomaly. These two mechanisms behave differently in $J/\psi$ and ${\psi }^{\prime }\to \gamma P$. A coherent understanding of the branching ratio patterns observed in $J/\psi ({\psi }^{\prime })\to \gamma P$ can be achieved by self-consistently including those transition mechanisms at hadronic level. The branching ratios for $\psi (3770)\to \gamma P$ are predicted to be rather small.

Slightly modified version to appear in Phys. Lett. B

References in corpus (8)

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• Towards a dynamical understanding of the non-$D\bar{D}$ decay of $\psi (3770)$
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Cited by in corpus (8)

• Unified study of $J/\psi \to PV$, $P{\gamma }^{(\ast )}$ and light hadron radiative processes
• Analysis of the J/psi --> pi^0 gamma^* transition form factor
• Revisiting the radiative decays $J/\psi \to \gamma {\eta }^{(\prime )}$ in perturbative QCD
• Effective-Lagrangian study of ${\psi }^{\prime }(J/\psi )\to VP$ and the insights into $\rho \pi$ puzzle
• Measurement of branching fractions for $\psi (3686)\to \gamma {\eta }^{\prime },\gamma \eta$ and $\gamma {\pi }^0$
• QCD analysis of the $P$-wave charmonium electromagnetic Dalitz decays $h_c\to {\eta }^{(\prime )}{\ell }^{+}{\ell }^{-}$
• Nature of $X(2370)$
• Dispersive analysis of the $J/\psi \to {\pi }^0{\gamma }^{\ast }$ transition form factor with $\rho$-$\omega$ mixing effects