Relativistic Thomas-Fermi formalism: Nuclearites and atoms

The electron distribution for nuclearites and heavy atoms is computed by a generalized Thomas-Fermi formalism, which takes into account the relativistic change of mass with velocity. The relativistic equation is solved numerically by exploiting the finite nuclear-charge distribution rather than by using perturbation theory. The greatest discrepancy with the usual nonrelativistic calculation appears for nuclearites with a radius $R_N$∼${10}^{\mathrm{-}2}$ Å.