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

TL;DR

This paper develops a Pomeron-LQCD model based on vector meson dominance and lattice QCD data to analyze $J/ extPsi$ photo-production on nucleons, successfully explaining experimental data up to 300 GeV.

Contribution

It introduces a novel combined model integrating lattice QCD potentials with Regge phenomenology for $J/ extPsi$ photo-production analysis.

Findings

Predicted cross sections align with Jefferson Lab data.

Model extends to high energies up to 300 GeV.

Highlights need for precise $J/ extPsi$-N potential extraction.

Abstract

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.