Ab initio path to heavy nuclei

Abstract

We present the first ab initio calculations of nuclear ground states up into the domain of heavy nuclei, spanning the range from 16O to 132Sn, based on two- plus three-nucleon interactions derived within chiral effective field theory. We employ the similarity renormalization group for preparing the Hamiltonian and use coupled-cluster theory to solve the many-body problem for nuclei with closed sub-shells. Through an analysis of theoretical uncertainties resulting from various truncations in this framework, we identify and eliminate the technical hurdles that previously inhibited the step beyond medium-mass nuclei, allowing for reliable validations of nuclear Hamiltonians in the heavy regime. Following this path we show that chiral Hamiltonians qualitatively reproduce the systematics of nuclear ground-state energies up to the neutron-rich Sn isotopes.

Keywords

• Ab initio nuclear structure theory
• Chiral effective field theory
• Coupled-cluster theory
• Heavy nuclei