Intrinsic Charm In Proton and $J/\psi$ Photoproduction at High Energies
  Based on a perturbative theory of quantum chromodynamics and non-relativistic quark model, associated $J/\psi$ plus open charm photoproduction on charm quarks in a proton via partonic subprocess $\gamma c\to J/\psi c$ is discussed. It is shown that the value and energy dependence of the cross section for such process remarkably depends on the choice of charm distribution function in a proton. In the region of small $z=E_J/E_{\gamma}<0.2$ the contribution of the $\gamma c\to J/\psi c$ subprocess in the inelastic $J/\psi$ photoproduction spectra is larger than the contribution of the photon-gluon fusion subprocess. At the energy range of HERA collider intrinsic charm contribution in the total inclusive $J/\psi$ photoproduction cross section may be equal to 4\% of the dominant contribution of photon-gluon fusion mechanism. 
V.A.Saleev