We have calculated the equation of state, elastic constants, and melting curve of solid neon using a two-body Hartree-Fock dispersion (HFD)-like potential from molecular dynamics simulation at high pressures. To take many-body forces into account, a new simple and accurate empirical expression has been used with the HFD-like potential without requiring an expensive three-body calculation. Quantum corrections have been considered using the Feynman-Hibbs (FH) approach for solid neon. The results indicate that our effective HFD-like potential including quantum corrections improves the prediction of the classical two-body results to get better agreement with experiment than many other models. (C) 2014 Elsevier B.V. All rights reserved.