Nuclear matter calculations with chiral interactions

We calculate the energy per particle of symmetric nuclearmatter and pure neutronmatter using the many-body Brueckner-Hartree-Fock approach and employing the Chiral Next-To-next-To-next-To leading order (N3LO) nucleon-nucleon (NN) potential, supplemented with various parametrizations of the Chiral Next-To-next-To leading order (N2LO) three-nucleon force. Such combination is able to reproduce several observables of the physics of light nuclei for suitable choices of the parameters entering in the three-nucleon interaction. We find that some of these parametrizations, provide also reasonable values for the observables of nuclear matter at the saturation point.