Recently, a great deal of attention has been devoted to the near-exact Kohn
-Sham (KS) atomic potentials, mainly obtained from quantum Monte Carlo (QMC
) calculations for a few significant test cases; We show that the potential
of the highest occupied orbital in the self-interaction corrected local-de
nsity approximation (SIC LDA) approach provides an excellent approximation
for the QMC potentials, far better than the commonly used ones. Moreover, n
ear-exact KS potentials of the same quality as the QMC ones can be obtained
from the SIC-LDA potentials of the highest occupied and lowest empty orbit
als, by a simple two-parameter fitting procedure to reproduce the experimen
tal values of the ionization and first excitation energies. This has been d
emonstrated by a quantum-defect analysis of the empty states of Ne and Be a
toms, for which QMC potentials are available to us. The introduced method i
s used to construct a near-exact KS potential for Ar. [S1050-2947(99)00910-
5].