Ground-state properties of closed-shell nuclei with low-momentum realistic interactions

Ground-state properties of ${}^{16}\mathrm{O}$ and ${}^{40}\mathrm{Ca}$ are calculated with a low-momentum nucleon-nucleon potential ${V}_{\mathrm{low}\ensuremath{-}\mathrm{k}},$ derived from the chiral next-to-next-to-next-to-leading-order interaction recently constructed by Entem and Machleidt. The smooth ${V}_{\mathrm{low}\ensuremath{-}\mathrm{k}}$ is used directly in a Hartree-Fock approach, avoiding the difficulties of the Brueckner-Hartree-Fock procedure. Corrections up to third order in the Goldstone expansion are evaluated, leading to results that are in very good agreement with experiment. Convergence properties of the expansion are examined.