Relativistic scalar and vector potentials calculated using a non-relativistic nuclear potential

We propose a new approach to calculate the relativistic scalar and vector potentials using a non-relativistic nuclear potential. We first transform the Dirac equation for a nucleon so that the upper component of the Dirac equation becomes a “Schrodinger-like” equation by eliminating the lower component. In the transformation, we can associate the central and the spin-orbit parts of the non-relativistic potentials with the relativistic scalar and vector potentials. We show that the scalar and vector potentials can be written in terms of non-relativistic central and spin-orbit potentials. Using the scalar and vector potentials obtained in this way, we can calculate the mean field wave functions and the single-particle energies. The wave functions, the single-particle energies, and the scalar and vector potentials obtained in this way are found to be similar to those from the usual relativistic Hartree, but withe some differences.