Production of J/ψ+c(c)over-bar through two photons in e+e- annihilation -: art. no. 031501

We study the production of J/psi+c (c) over bar in e(+)e(-) annihilation through two virtual photons. The cross section is estimated to be 23 fb at roots=10.6 GeV, which is smaller by a factor of 6 than the calculated cross section for the same process but through one virtual photon. As a result, while the annihilation into two photons may be important for certain exclusive production processes, the big difference between the inclusive production cross section sigma(e(+)e(-)-->J/psi+c (c) over bar)similar or equal to0.9 pb observed by Belle and the current nonrelativistic QCD prediction of similar or equal to0.15 pb still remains very puzzling. We find, however, that as the center-of-mass energy increases (roots>20 GeV) the production through two virtual photons e(+)e(-)-->2gamma*-->J/psi+c (c) over bar will prevail over that through one virtual photon, because in the former process the photon fragmentation into J/psi and into the charmed quark pair becomes more important at higher energies.