2009
DOI: 10.1134/s106377880907014x
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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: Γee(J/ψ) = 5.41 keV, Γee(ψ ′ (3686)) = 2.47 keV, Γee(ψ ′′ (3770)) = 0.248 keV, in good agreement with experiment, are obtained with the same coupling, αs = 0.165, in QCD radiative corrections. We show that the larger αs = 0.191±0.004 is needed to reach agreement with experiment for Γγγ (ηc) = 7.22 keV, Γγγ (χ( 3 P0)) = 3.3 keV, Γγγ (χ( 3 P2)) = 0.54 keV, and also for Γ(J/ψ → 3g) = 59.… Show more

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Cited by 24 publications
(43 citation statements)
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“…The expression (10) was used in [17] to find the position of the pole for shifted 2 3 P 1 charmonium state, while its unperturbed value E 2 was calculated with the use of RSH [22] to be E 2 ¼ 3948 AE 10 MeV [23]. In [17] Fig.…”
Section: Coupled-channel Mechanismmentioning
confidence: 99%
“…The expression (10) was used in [17] to find the position of the pole for shifted 2 3 P 1 charmonium state, while its unperturbed value E 2 was calculated with the use of RSH [22] to be E 2 ¼ 3948 AE 10 MeV [23]. In [17] Fig.…”
Section: Coupled-channel Mechanismmentioning
confidence: 99%
“…In particular, we pay attention to the fact that the new value of the QCD constant for n f = 3, Λ MS (n f = 3) = (339 ± 10) MeV [18], is rather large and gives rise to a large QCD vector constant, Λ V , defining the strong vector coupling α V , since these constants are interrelated, Λ V (n f = 3) = 1.4752 Λ MS = (500 ± 15) MeV. In our previous analysis a smaller Λ V [28] was used, while a larger value of Λ V = 500 MeV increases the w.fs. at the origin and LWs of ψ resonances.…”
Section: Introductionmentioning
confidence: 73%
“…The w.fs. R nS (0) are calculated here in two ways, because the original form of the string Hamiltonian [19,28,39,40],…”
Section: The Static Potentialmentioning
confidence: 99%
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“…As it is shown in [21,22], the ratio of two photon decay widths of scalar and tensor states increases by including radiative corrections. Relativistic effects, on the other hand, partly compensate that change.…”
Section: Virtual Photon Sum Rules For Charmonium Statesmentioning
confidence: 82%