The response of light drip line nuclei to spin-isospin dependent fields is
investigated, using the self-consistent Hartree-Fock plus the random-phase
approximation with Skyrme interactions. Including simultaneously both the i
soscalar and isovector spin correlation, the random-phase-approximation res
ponse function is estimated in the coordinate space so as to take properly
into account the continuum effect. The spin-orbit splitting, which plays an
essential role in the spin-dependent response functions, is examined as a
function of the mass number when we approach the drip Line nuclei. It is fo
und that the calculated M1 peaks in C-8(6)2 and He-8(2)6 are much lower in
energy than those expected from our knowledge of the beta-stable nucleus C-
12(6)6. [S0556-2813(99)02212-8].