SPIN-ORBIT SPLITTINGS IN THE RELATIVISTIC MEAN-FIELD THEORY

We have investigated the effect of the rho tensor coupling on binding energies, matter root-mean-square radii and spin-orbit splittings of C a isotopes in the relativistic mean-field theory with sigma, omega, an d rho mesons. It is shown that binding energies and matter root-mean-s quare radii are insensitive to an alteration in the strength of the rh o tensor coupling and an explanation of this is given. We have further shown that inclusion of the rho tensor coupling will give isospin-dep endent spin-orbit splittings and this will greatly affect spin-orbit s plittings of nuclei near the neutron drip line.