Quadrupole strength function and core polarization in drip line nuclei

Using the self-consistent Hartree-Fock calculation plus RPA with Skyrme interactions, the RPA quadrupole strength function is estimated in the coordinate space, including simultaneously both the isoscalar and the isovector correlation. We discuss the result of the isoscalar, the isovector and the electric quadrupole polarization of the Ca-isotopes from the proton drip line towards the neutron drip line. We study also the comparison of the polarizations in the A = 48 mirror nuclei, 4828Ni20 and 4820Ca28, and the dependence of the polarizations of 288O20 on various Skyrme interactions. (orig.)