Photoproduction of $\rm J/\psi$ with forward hadron tagging in hadronic collisions

We study the photoproduction of $\rm J/\psi$ using the NRQCD formalism with forward hadron tagging at the Large Hadron Collider. We estimate the total cross sections and event rates with and without nuclear shadowing effects in high energy proton-proton, proton-nucleus and nucleus-nucleus collisions. Our results show that the processes which involve $\rm J/\psi$ photoproduction depend on the choice of forward detector acceptances $\xi$. Under some precise cut of $\rm p_{T}^{J/\psi}$ and $\rm z^{J/\psi}$ kinematic variables, we find that the distributions of photoproduction of $\rm J/\psi$ are led by the Fock state $\rm ^{1}S_{0}^{[8]}$ or $\rm ^{3}S_{1}^{[1]}$. The total cross sections and event rates will be smaller if the nuclear shadowing effects are considered. The processes give a crucial photoproduction signature at the LHC with forward detector acceptances. The exploration and the detection of the interactions will be useful for studying the mechanism of heavy quarkonium production.