Resonance and continuum states in weakly bound systems

Linear response theories in the continuum capable of describing continuum spectra and dynamical correlations are presented. Our formulation is essentially the same as the continuum random-phase approximation (RPA) but suitable for uniform grid representation in the three-dimensional (3D) Cartesian coordinate assuming no spatial symmetry. Effects of the continuum are taken into account either by solving equations iteratively with a retarded Green's function or by an absorbing boundary condition. The methods are applied to giant resonances in a deformed nucleus 12C.