  We study J/\psi production in pp collisions at RHIC within the PHENIX
detector acceptance range using the color singlet and color octet mechanism
which are based on pQCD and NRQCD. Here we show that the color octet mechanism
reproduces the RHIC data for J/\psi production in pp collisions with respect to
the p_T distribution, the rapidity distribution and the total cross section at
\sqrt s = 200 GeV. The color singlet mechanism leads to a relatively small
contribution to the total cross section when compared to the octet
contribution.
