Monte Carlo approach to nuclei and nuclear matter

We report on the most recent applications of the Auxiliary Field Diffusion Monte Carlo (AFDMC) method. The equation of state (EOS) for pure neutron matter in both normal and BCS phase and the superfluid gap in the low–density regime are computed, using a realistic Hamiltonian containing the Argonne AV8’ plus Urbana IX three–nucleon interaction. Preliminary results for the EOS of isospin–asymmetric nuclear matter are also presented.