Tables TABLE I: Numerical results for the 1 s ground state binding energies B for hydrogen-like atoms with nuclear charge Z. The second column displays the non-relativistic eigenenergy and the third the result of the numerical integrations. For comparison, the analytic eigenenergies from Eq. (45) are given in the fourth column. Energies here are in keV. TABLE II: Numerical results from solving the radial Dirac equastions for both V$_{s}$ ( x ) and a Coulom- bic V$_{v}$ ( x ), showing the variation of the ground state energy as a function of α$_{s}$ . Also shown is how the initial slope parameter a 0 changes with α$_{s}$ . 40 Point Coulomb Smeared Coulomb α$_{s}$ E (GeV) a 0 E (GeV) a 0 0.0 0.306 0.195 0.306 0.195 0.2 0.251 0.244 0.251 0.237 0.4 0.194 0.343 0.194 0.305 0.6 0.135 0.551 0.135 0.417 0.8 0.072 1.052 0.074 0.611 1.0 0.004 2.653 0.007 0.977 1.2 -.089 13.46 -.156 1.759 Z Z 2 Ry B (numerical) B (analytic) 10 1.360 1.3624 1.3624 100 136.0 161.6 161.6 136 251.546 433.8 448.3