Effects of tensor coupling on spin-orbit splittings in the relativistic mean field theory

The effects of iso-scalar omega tensor coupling on spin-orbit splittings are studied in the framework of the Relativistic Mean Field theory. Taking Pb-208 as an example, the influence of iso-scalar omega tensor coupling on nuclear mean-field potentials, sigma-, omega- and rho-meson fields, spin-orbit potentials, spin-orbit splittings; and the single-particle level structure near the Fermi level are presented. It is found that the tensor term mainly changes the nuclear mean-field potential at the surface. A larger tensor coupling term will lead to stronger spin-orbit potential and larger spin-orbit splitting in the single particle level, which will change the single particle level structure, remove the traditional magic numbers and produce new ones.