The impact of the intrinsic charm quark content of the proton on differential \(\gamma+c\) cross section

We present a comparative analysis of the impact of the non-perturbative intrinsic charm quark content of the proton on differential cross section of \(\gamma +c \)-jet in \( pp \) and \( p\bar{p} \) collisions, for the kinematic regions that are sensitive to this contribution. We discuss the \( Q^2 \) evolution of intrinsic quark distributions and present a code which provide these distributions as a function of \( x \) and \( Q^2 \) for any arbitrary Fock state probability. For the \( p\bar{p} \) collisions at the Tevatron, the results are compared with the recent experimental data of D0 at \(\sqrt{s} =1.96\) TeV and also predictions for \( pp \) collisions at \(\sqrt{s} =8\) TeV and \(\sqrt{s} =13\) TeV for the LHC.