Ab initiocoupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions

Abstract

We perform coupled-cluster calculations for the doubly magic nuclei 4He, 16O,\n40Ca and 48Ca, for neutron-rich isotopes of oxygen and fluorine, and employ\n"bare" and secondary renormalized nucleon-nucleon interactions. For the\nnucleon-nucleon interaction from chiral effective field theory at order\nnext-to-next-to-next-to leading order, we find that the coupled-cluster\napproximation including triples corrections binds nuclei within 0.4 MeV per\nnucleon compared to data. We employ interactions from a resolution-scale\ndependent similarity renormalization group transformations and assess the\nvalidity of power counting estimates in medium-mass nuclei. We find that the\nmissing contributions due to three-nucleon forces are consistent with these\nestimates. For the unitary correlator model potential, we find a slow\nconvergence with respect to increasing the size of the model space. For the\nG-matrix approach, we find a weak dependence of ground-state energies on the\nstarting energy combined with a rather slow convergence with respect to\nincreasing model spaces. We also analyze the center-of-mass problem and present\na practical and efficient solution.\n