Pomeron-LQCD model of $J/\Psi$ photo-production on the nucleon

Based on the vector meson dominance assumption, a Hamiltonian model has been developed to investigate $J/\Psi$ photo-production reaction on the nucleon by using the $J/\Psi$-nucleon potential extracted from a lattice QCD calculation of Phys. Rev. D{\bf 82}, 091501 (2010). It is found that the predicted total cross sections are comparable to the recent data of $J/\Psi$ photo-production reaction from Jefferson Laboratory. The model is then extended to include the two-gluon exchange amplitude modeled by Donnachie and Lanshoff within Regge Phenomenology. The resulting Pomeron-LQCD model can then explain the data up to invariant mass $W=$ 300 GeV. Future improvements needed to reduce the uncertainties of the predictions are discussed. The need of an accurate extraction of $J/\Psi$-N potential at short distances from LQCD is illustrated.