Inclusive \pt-integrated \jpsi production cross section as a function of collision energy (left panel) and rapidity (right panel) compared with the ICEM and NRQCD+CGC model calculations. The midrapidity \pt-integrated production cross section values are measured by the PHENIX , STAR , CDF and ALICE collaborations. The forward-rapidity production cross section shown in the right panel is reported by ALICE in Ref.