GROUND-STATE ENERGY OF THE ELECTRON GAS WITH THE MODIFIED COULOMB POTENTIAL 1/rp

In this paper, due to the effect of positively-charged screening holes, Coulomb potential energy 1/r is modified to be 1/r(p), which is assumed to deviate slightly from the former. Using many-body perturbation theory, we obtain a simple analytic representation of the ground-state energy and correlation energy for a uniform electron gas. Our results agree with those obtained by the numerical and semi-analytic methods at low-density limit. Higher ground-state energies at high-density limit are calculated from our model. High order r expansion terms are found at high-density region. A curve of transition density versus p is drawn via the Misawa spin-scaling relation, which is in consistent with Perdew's study at low-density limit.