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 “Schrödinger-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.

中文翻译：

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使用非相对论核势计算的相对论标量势和矢量势

我们提出了一种使用非相对论核势计算相对论标量势和矢量势的新方法。我们首先对核子的狄拉克方程进行变换，使狄拉克方程的上部分量通过消除下部分量成为“类薛定谔”方程。在变换中，我们可以将非相对论势的中心部分和自旋轨道部分与相对论标量势和矢量势联系起来。我们表明标量势和矢量势可以用非相对论中心势和自旋轨道势来写。使用这样得到的标量势和矢量势，我们可以计算平均场波函数和单粒子能量。波函数，单粒子能量，