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 isoscalar and isovector spin correlation, the random-phase-approximation response 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 found that the calculated $M1\mathrm{}$ peaks in ${}_6^8{\mathrm{C}}_2$ and ${}_2^8{\mathrm{He}}_6$ are much lower in energy than those expected from our knowledge of the $\beta$-stable nucleus ${}_6^{12}{\mathrm{C}}_6.$

• Received 28 July 1999

DOI:https://doi.org/10.1103/PhysRevC.60.064314