Title: Self-consistent assessment of Englert-Schwinger model on atomic properties,
Abstract: Our manuscript investigates a self-consistent solution of the statistical
atom model proposed by Berthold-Georg Englert and Julian Schwinger (the ES
model) and benchmarks it against atomic Kohn-Sham and two orbital-free models
of the Thomas-Fermi-Dirac (TFD)-$\lambda$vW family. Results show that the ES
model generally offers the same accuracy as the well-known TFD-$\frac{1}{5}$vW
model; however, the ES model corrects the failure in Pauli potential
near-nucleus region. We also point to the inability of describing low-$Z$ atoms
as the foremost concern in improving the present model.