In this work we investigate the J/ψ production in proton-proton
collisions at the center-of-mass energy (s​) equal to 2.76, 5.02, 7, 8
and 13 TeV with a parton and hadron cascade model PACIAE 2.2a. It is based on
PYTHIA but extended considering the partonic and hadronic rescatterings before
and after hadronization, respectively. In the PYTHIA sector the J/ψ
production quantum chromodynamics processes are selected specially and a bias
factor is proposed correspondingly. The calculated total cross sections, the
differential cross sections as a function of the transverse momentum and the
rapidity of J/ψ in the forward rapidity region reproduce the corresponding
experimental measurements reasonably well. In the mid-rapidity region, the
double differential cross sections at s​= 5.02, 7 and 13 TeV are also
in a good agreement with the experimental data. Moreover, we predict the double
differential cross section as well as the total cross section of J/ψ at
s​= 8 TeV, which could be validated when the experimental data is
available.Comment: 6 pages, 8 figures, 3 table