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.

arXiv commentSlightly modified version to appear in Phys. Lett. B

References in corpus (21)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Is $f_0(1500)$ a Scalar Glueball?
• Mixing and Decay Constants of Pseudoscalar Mesons: The Sequel
• EVIDENCE FOR A SCALAR GLUEBALL
• Production of $f_0(1710)$, $f_0(1500)$, and $f_0(1370)$ in $J/\psi$ hadronic decays
• The mixing of the f0(1370), f0(1500) and f0(1710) and the search for the scalar glueball
• On the gluon content of the eta and eta' mesons
• Contribution of $b\to sgg$ through the QCD anomaly in exclusive decays $B^{\pm }\to ({\eta }^{\prime },\eta )(K^{\pm },K^{\ast \pm })$ and $B^0\to ({\eta }^{\prime },\eta )(K^0,K^{\ast 0})$
• Pseudoscalar glueball mass from $\eta$-${\eta }^{\prime }$-$G$ mixing
• Composition of the Pseudoscalar Eta and Eta' Mesons
• Extraction of the light quark mass ratio from the decays psi' --> J/psi pi^0 (eta)
• Towards a dynamical understanding of the non-$D\bar{D}$ decay of $\psi (3770)$
• Decays of $J/\psi$ and ${\psi }^{\prime }$ into vector and pseudoscalar meson and the pseudoscalar glueball-$q\bar{q}$ mixing
• The evasion of helicity selection rule in ${\chi }_{c1}\to VV$ and ${\chi }_{c2}\to VP$ via intermediate charmed meson loops
• Charmonium decays to gamma pi0, gamma eta, and gamma eta'
• Evidence for psi' decays into gamma pi^0 and gamma eta
• Study of electromagnetic decay of $J/\psi$ and ${\psi }^{\prime }$ to vector and pseudoscalar
• Intrinsic charm of light mesons and CP violation in heavy quark decay
• $\eta -{\eta }^{\prime }$ Mixing in the Flavor Basis and Large N
• Meson-Photon Transition Form Factors in the Charmonium Energy Range
• Puzzles in charmonium decays

Cited by in corpus (11)

• 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
• Revisiting the $P$-wave charmonium radiative decays $h_c\to \gamma {\eta }^{(\prime )}$ with relativistic corrections
• Effective-Lagrangian study of ${\psi }^{\prime }(J/\psi )\to VP$ and the insights into $\rho \pi$ puzzle
• Radiative decays of $h_c$ to the light mesons ${\eta }^{(\prime )}$: A perturbative QCD calculation
• Measurement of branching fractions for $\psi (3686)\to \gamma {\eta }^{\prime },\gamma \eta$ and $\gamma {\pi }^0$
• QCD analysis of electromagnetic Dalitz decays $J/\psi \to {\eta }^{(\prime )}{\ell }^{+}{\ell }^{-}$
• Nature of $X(2370)$
• 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