A microscopic study of giant resonances in nuclei near drip lines

We study giant resonances using the self-consistent Hartree-Fock calculation plus the random phase approximation with Skyrme interactions. Including simultaneously both the isoscalar and the isovector correlation the RPA response function is calculated in the coordinate space so as to take properly into account the continuum effect. Giant monopole states are discussed in relation with the nuclear compression modulus of the nuclear matter Knm. The core polarization charges are also discussed in comparison with recent empirical data in 100Sn region