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The production of $$J/\psi $$ J/ψ mesons in p+p and p+Pb collisions is studied in the framework of color-glass condensate together with a simple color evaporation model. Considering the nuclear effects with the Glauber–Gribov approach, we calculate the cross section and the nuclear modification factor of forward $$J/\psi $$ J/ψ production in p+Pb collisions at $$\sqrt{s}=5.02$$ s=5.02 TeV. Then,...