Resonance and continuum Gamow shell model with realistic nuclear forces

Abstract Starting from realistic nuclear forces, we have developed a core Gamow shell model which can describe resonance and continuum properties of loosely-bound or unbound nuclear systems. To describe properly resonance and continuum, the Berggren representation has been employed, which treats bound, resonant and continuum states on equal footing in a complex-momentum (complex- k ) plane. To derive the model-space effective interaction based on realistic forces, the full Q ˆ -box folded-diagram renormalization has been, for the first time, extended to the nondegenerate complex- k space. The CD-Bonn potential is softened by using the V low- k method. Choosing 16 O as the inert core, we have calculated sd -shell neutron-rich oxygen isotopes, giving good descriptions of both bound and resonant states. The isotopes 25,26 O are calculated to be resonant even in their ground states.