Di-electron and two-photon widths in charmonium

Abstract

The vector and pseudoscalar decay constants are calculated in the framework of the Field Correlator Method. Di-electron widths: ${\Gamma }_{ee}(J/\psi )=5.41$ keV, ${\Gamma }_{ee}({\psi }^{\prime }(3686))=2.47$ keV, ${\Gamma }_{ee}({\psi }^{\prime \prime }(3770))=0.248$ keV, in good agreement with experiment, are obtained with the same coupling, ${\alpha }_s=0.165$, in QCD radiative corrections. We show that the larger ${\alpha }_s=0.191\pm 0.004$ is needed to reach agreement with experiment for ${\Gamma }_{\gamma \gamma }({\eta }_c)=7.22$ keV, ${\Gamma }_{\gamma \gamma }(\chi {(}^3{P}_0))=3.3$ keV, ${\Gamma }_{\gamma \gamma }(\chi {(}^3{P}_2))=0.54$ keV, and also for $\Gamma (J/\psi \to 3g)=59.5$ keV, $\Gamma (J/\psi \to \gamma 2g)=5.7$ keV. Meanwhile even larger ${\alpha }_s=0.238$ gives rise to good description of $\Gamma ({\psi }^{\prime }\to 3g)=52.7$ keV, $\Gamma ({\psi }^{\prime }\to \gamma 2g)=3.5$ keV, and provides correct ratio of the branching fractions: $\frac{\mathcal{B}(J/\psi \to lighthadrons)}{\mathcal{B}({\psi }^{\prime }\to lighthadrons)}=\mathrm{0.24.}$

8 pages, no figures

References in corpus (28)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Higher Charmonia
• Observation of a Broad Structure in the ${\pi }^{+}{\pi }^{-}J/\psi$ Mass Spectrum around 4.26 GeV/$c^2$
• Observation of the Narrow State $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ in $\bar{p}p$ Collisions at $\sqrt{s}=1.96 \TeV$
• Observation and Properties of the X(3872) Decaying to J/psi pi+ pi- in p-p(bar) Collisions at sqrt(s) = 1.96 TeV
• Observation of Two Resonant Structures in e+e- to pi+ pi- psi(2S) via Initial State Radiation at Belle
• Evidence of a Broad Structure at an Invariant Mass of 4.32 GeV/$c^2$ in the Reaction $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\psi (2S)$ Measured at BaBar
• Charmonium Decays of $Y(4260), psi(4160), and psi(4040)
• Observation of a new charmonium state in double charmonium production in e+ e- annihilation at \sqrt{s} ~ 10.6 GeV
• Decay Constants of Heavy Vector Mesons in Relativistic Bethe-Salpeter Method
• Light Quarks in the Instanton Vacuum at Finite Baryon Density
• Measurement of the near-threshold $e^{+}{e}^{-}\to D^{(\ast )\pm }D{}^{\ast \mp }$ cross section using initial-state radiation
• Dynamic Properties of Charmonium
• Observation of eta_c^{prime} Production in gamma gamma Fusion at CLEO
• QCD string in light-light and heavy-light mesons
• Two-photon decay rates of heavy quarkonia in the relativistic quark model
• Two Photon Decays of Charmonia from Lattice QCD
• Freezing of QCD coupling affects the short distance static potential
• Decay constants of the heavy-light mesons from the field correlator method
• Light meson radial Regge trajectories
• Light-meson orbital excitations in the QCD string approach
• Ratio of Hadronic Decay Rates of Jψand ψ(2S) and the ρπPuzzle
• Two-photon width of eta_c and eta'_c from Heavy-Quark Spin Symmetry
• Masses of the η_c(nS) and η_b(nS) mesons
• The QCD spectrum: mixing, strong decays and the role of sea quarks

Cited by in corpus (19)

• Lattice QCD and QCD Sum Rule determination of the decay constants of eta_c, J/psi and hc states
• Dynamical origin and the pole structure of X(3872)
• Hadron interaction with heavy quarkonia
• Channel coupling in heavy quarkonia: energy levels, mixing, widths and new states
• The $\mathbf{S}-\mathbf{D}$ mixing and di-electron widths of higher charmonium $1^{--}$ states
• The ratio of decay widths of X(3872) to ${\psi }^{\prime }\gamma$ and $J/\psi \gamma$ as a test of the X(3872) dynamical structure
• Measurement of ψ(3770) parameters
• The Hyperfine Splittings in Bottomonium and the $B_q(q=n,s,c)$ Mesons
• Relativistic theory of string breaking in QCD
• Measurement of Γ_{ee}(J/ψ)*Br(J/ψ->e^+e^-) and Γ_{ee}(J/ψ)*Br(J/ψ->μ^+μ^-)
• The $c\bar{c}$ interaction above threshold and the radiative decay $X(3872)\to J/\psi \gamma$
• Dynamical study of the $X$(3915) as a molecular $D^{\ast }\overline{D^{\ast }}$ state in a quark model
• The Hyperfine Splittings in Heavy-Light Mesons and Quarkonia
• Radial Regge trajectories for higher $\psi (nS)$ and $\psi (nD)$ states
• The leptonic widths of high $\psi$-resonances in unitary coupled-channel model
• Light-by-light forward scattering sum rules for charmonium states
• $B_u$ $\to$ $\psi M$ decays and $S$-$D$ wave mixing effects
• Measurement of ${\Gamma }_{ee}\times {\mathcal{B}}_{\mu \mu }$ for $\psi (2S)$ meson
• Analytical Forms for Cross Sections of Di-lepton Production from $e^{+}{e}^{-}$ Collisions around the $J/\psi$ Resonance