J/ψ pair production at the Tevatron with √ s =1.96 TeV

We study the J/ψ pair production issue at the Fermilab Tevatron Run II with a center-of-mass energy of √ s =1.96 TeV. Both the color-singlet and color-octet production mechanisms are considered. Our results show that the transverse momentum ( p T ) scaling behaviors of the double J/ψ differential cross-sections in the color-singlets and color-octets deviate distinctively from each other while p T is larger than 8 GeV, and with a luminosity of 5 fb −1 , the J/ψ pair events from the color-singlet scheme are substantially measurable in the Tevatron experiments, even with a certain lower transverse momentum cut. Hence the Tevatron is still a possible platform to check the heavy quarkonium production mechanism.