Decays of $J/\psi$ and ${\psi }^{\prime }$ into vector and pseudoscalar meson and the pseudoscalar glueball-$q\bar{q}$ mixing

Abstract

We introduce a parametrization scheme for $J/\psi ({\psi }^{\prime })\to VP$ where the effects of SU(3) flavor symmetry breaking and doubly OZI-rule violation (DOZI) can be parametrized by certain parameters with explicit physical interpretations. This scheme can be used to clarify the glueball-$q\bar{q}$ mixing within the pseudoscalar mesons. We also include the contributions from the electromagnetic (EM) decays of $J/\psi$ and ${\psi }^{\prime }$ via $J/\psi ({\psi }^{\prime })\to {\gamma }^{\ast }\to VP$. Via study of the isospin violated channels, such as $J/\psi ({\psi }^{\prime })\to \rho \eta$, $\rho {\eta }^{\prime }$, $\omega {\pi }^0$ and $\varphi {\pi }^0$, reasonable constraints on the EM decay contributions are obtained. With the up-to-date experimental data for $J/\psi ({\psi }^{\prime })\to VP$, $J/\psi ({\psi }^{\prime })\to \gamma P$ and $P\to \gamma \gamma$, etc, we arrive at a consistent description of the mentioned processes with a minimal set of parameters. As a consequence, we find that there exists an overall suppression of the ${\psi }^{\prime }\to 3g$ form factors, which sheds some light on the long-standing "$\rho \pi$ puzzle". By determining the glueball components inside the pseudoscalar $\eta$ and ${\eta }^{\prime }$ in three different glueball-$q\bar{q}$ mixing schemes, we deduce that the lowest pseudoscalar glueball, if exists, has rather small $q\bar{q}$ component, and it makes the $\eta (1405)$ a preferable candidate for $0^{-+}$ glueball.

arXiv commentRevised version to appear on J. Phys. G; An error in the code was corrected. There's slight change to the numerical results, while the conclusion is intact

References in corpus (41)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The glueball spectrum from an anisotropic lattice study
• Mixing and Decay Constants of Pseudoscalar Mesons
• Glueball Spectrum and Matrix Elements on Anisotropic Lattices
• A comprehensive lattice study of SU(3) glueballs
• Quark structure of pseudoscalar mesons
• Is $f_0(1500)$ a Scalar Glueball?
• Observation of a near-threshold enhancement in th p pbar mass spectrum from radiative J/psi-->gamma p pbar decays
• Mixing and Decay Constants of Pseudoscalar Mesons: The Sequel
• Large N_c in chiral perturbation theory
• Higher Quarkonia
• Efficient glueball simulations on anisotropic lattices
• On the 1/N expansion in chiral perturbation theory
• Masses, decays and mixings of gluonia in QCD
• Observation of a resonance X(1835) in J/ψ--> γπ^+ π^- η^{\prime}
• Determining the Gluonic Content of Isoscalar Mesons
• Production of $f_0(1710)$, $f_0(1500)$, and $f_0(1370)$ in $J/\psi$ hadronic decays
• Charmless Final States and S--D-wave mixing in the ${\psi }^{\prime \prime }$
• Effective Hadron Dynamics: From Meson Masses to the Proton Spin Puzzle
• The mixing of the f0(1370), f0(1500) and f0(1710) and the search for the scalar glueball
• Detecting Gluino-Containing Hadrons
• Intrinsic Charm of Vector Mesons: A Possible Solution of the "rho pi" Puzzle
• Study on contributions of hadronic loops to decays of $J/\psi \to$ vector $+$ pseudoscalar mesons
• Glueballs, closed fluxtubes and eta(1440)
• A possible hadronic excess in psi(2S) decay and rho-pi puzzle
• An Explanation for the rho-pi Puzzle of J/psi and psi' Decays
• Light resonances in Ks K pi and eta pi pi final states in gamma gamma collisions at LEP
• Mixing of Pseudoscalar Mesons
• Phases and Amplitudes in Inclusive $\Psi$ and ${\Psi }^{\prime }$ Decays
• Implications of light-quark admixtures on charmonium decays into meson pairs
• Radiative Decay of Vector Quarkonium: Constraints on Glueballs and Light Gluinos
• Study of electromagnetic decay of $J/\psi$ and ${\psi }^{\prime }$ to vector and pseudoscalar
• A coherent study of ${\chi }_{c0,2}\to VV$, $PP$ and $SS$
• Measurement of the final states $\omega {\pi }^0$, $\rho \eta$, and $\rho {\eta }^{{}^{\prime }}$ from $\psip$ electromagnetic decays and $\ee$ annihilations
• Measuring psi(3770) --> rho pi in e+e- experiment
• Observation of the decay $\psip\rar\kstark$
• Measurements of $\psi (2S)$ decays into $\varphi {\pi }^0$, $\varphi \eta$, $\varphi {\eta }^{{}^{\prime }}$, $\omega \eta$, and $\omega {\eta }^{{}^{\prime }}$
• Measurements of J/psi decays into phi pi^0, phi eta, and phi eta^prime
• Survival before annihilation in Psi-prime decays
• The gluon contents of the eta and eta' mesons

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