Nuclear Many-Body Perturbation Calculations Based on the Chiral N³LO Potential

Starting from the chiral N³LO potential and using many-body perturbation theory (MBPT), we have calculated the structures of finite nuclei. In order to speed up the convergence of calculations, the similarity renormalization group (SRG) has been employed. The MBPT has been developed in the Hartree-Fock (HF) basis within the angular momentum coupling representation. The developed MBPT calculation has been successfully applied to closed-shell nuclei. It has been demonstrated that in the HF basis the corrections up to the third order in energy and up to the second order in radius can give converged results, while in the harmonic oscillator (HO) basis one would have to go to 30^th-order corrections to obtain converged solutions. The calculated binding energies and radii of the ⁴He and ¹⁶O nuclei agree well with experimental data. The present MBPT calculations have been compared with other ab-initio calculations with the same potential.