Abstract
The double J/\psi(DJ) production in direct photon-photon collision is investigated. It is found that the J/\psi production rate in this process is of the same order of magnitude as those of previously discussed ones, which hints the dominant J/\psi inclusive production process in the direct photon-photon collision is still not being touched. As DJ production process has a clear distinction from the single J/\psi inclusive processes in the final states, experimental study on it would be helpful to clarify the validity of color-singlet model.
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