Realistic Shell Model with Chiral Interaction and Its Application to Drip-Line Predictions

We employ the shell model with the chiral two- and three-nucleon forces. The effective Hamiltonian relevant to the valence-model space is computed microscopically. This framework is applied to the study of the neutron-drip line of the calcium isotopes. Our simulation shows that the calculated two-neutron separation energies are consistent with those of currently available experiment and $$^{70}\mathrm {Ca}$$ is possibly bound, as other theoretical attempts predict.