Ab initio Many-body Perturbation Calculations with Chiral N³LO Interaction

Starting from chiral N³LO, we have applied many-body perturbation theory (MBPT) to the structure of spherical, doubly closed-shell nuclei. The two-body N³LO interaction is softened by a similarity renormalization group transformation. The MBPT calculations are performed within the Hartree-Fock (HF) bases. Higher-order corrections in the HF basis are small relative to the leading-order perturbative result. Corrections up to the third order in energy and up to the second order in wave function are evaluated. Using the anti-symmetrized Goldstone diagram expansions of the wave function, we directly correct the one-body density for the calculation of the radius. Our results are in very good agreement with experimental data.