The isospin dependence of the spin-orbit interaction in light neutron
rich nuclei is investigated in the framework of relativistic mean fiel
d theory. The magnitude of the spin-orbit potential is considerably re
duced in drip line nuclei, resulting in smaller energy splittings betw
een spin-orbit partners. The effect does not depend on the parametriza
tion of the effective Lagrangian. The results are compared with corres
ponding calculations in the non-relativistic Skyrme model. (C) 1998 El
sevier Science B.V.