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- W134528578 abstract "We use a simple perturbation theory argument and measurements of charmonium leptonic widths $Gamma (psi_{NS} rightarrow e^+e^-)$ to estimate the ratio mbox{$R_circ equiv {vert Psi _{eta_{c1S}}(0) vert}^2 /{vertPsi_{psi_{1 S}}(0)vert}^2$} in the general context of non- relativistic potential models. We obtain $R_circ = 1.4 pm 0.1$. We then apply well known potential model formulas, which include lowest order QCD corrections, to find $Gamma (eta_c rightarrow gamma gamma )/Gamma (psi_{1S} rightarrow e^+e^-) approx 2.2pm 0.2$. The central value for $Gamma (psi_{1S} rightarrow e^+ e^-)$in the 1992 Particle Data Tables then leads to a (non relativistic) prediction $Gamma (eta_c rightarrow gamma gamma )approx 11.8pm 0.8 $ keV. This prediction is in good agreement with a recent measurement by the ARGUS collaboration, is consistent with a recent measurement by the L3 collaboration but is significantly higher than several earlier measurements and than previous theoretical estimates, which usually assume $R_circ =1$. The correction to $R_circ =1$ is estimated to be smaller but nonnegligible for the $bbar b$ system. Using the current central measurement for $Gamma (Upsilon_{1S}rightarrow e^+e^-)$ we find $Gamma (eta_brightarrow gamma gamma )approx 0.58pm 0.03$ keV. A rough estimate of relativistic corrections reduces the expected two photon rates to about 8.8 keV and 0.52 keV for the $eta_c$ and $eta_b$ mesons respectively. Such corrections" @default.
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- W134528578 title "Decays<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=normal>η</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant=italic>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>→γγ and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=normal>η</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant=italic>b</mml:mi></mml:mrow></mml:msub></mml:mrow></…" @default.
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- W134528578 doi "https://doi.org/10.1103/physrevd.51.141" @default.
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