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We study the production of $J/\psi+c\bar{c}$ in $e^+e^-$ annihilation throughtwo virtual photons. The cross section is estimated to be 23 fb at$\sqrt{s}=10.6$ GeV, which is smaller by a factor of six than the calculatedcross section for the same process but through one virtual photon. As a result,while the annihilation into two photons may be important for certain exclusiveproduction processes, the big gap between the inclusive production crosssection $\sigma(e^+e^- \to J/\psi + c\bar{c})\simeq$ 0.9pb observed by Belleand the current nonrelativistic QCD prediction of $\simeq$0.15pb still remainsvery puzzling. We find, however, as the center-of-mass energy increases($\sqrt{s}>20$ GeV) the production through two virtual photons $e^+e^- \to2\gamma^* \to J/\psi + c\bar{c}$ will prevail over that through one virtualphoton, because in the former process the photon fragmentation into $J/\psi$and into the charmed quark pair becomes more important at higher energies.Comment: 8 pages, 4 figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

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Production ofJ/ψ+cc¯through two photons ine<…