COMPARISON OF 2 RELATIVISTIC B-SPLINE BASIS-SETS USING A POINT AND A FINITE-SIZE NUCLEUS FOR THE IONS O+7 AND HG+79

The energy levels of N s1/2 states (N = 1 approximately 5) for the one -electron ions of O+7 and Hg+79 are obtained by using the B-spline bas is sets. Two different types of atomic nuclei, a point and a finite-si ze, are used. The results for the energy levels are compared with thos e obtained by the finite difference method. The relativistic B-spline basis sets for the point nucleus model are found to be good enough to produce a similar accuracy as that for the finite-size nucleus model, even when the wave functions of N S1/2 States in the point nucleus mod el show a singular behavior at the origin.