Neutron skins in spherical and deformed nuclei from Skyrme Hartree-Fock calculations

The development of neutron skins as a function of the neutron number is investigated within a self‐consistent framework based on deformed Hartree‐Fock calculations with density dependent Skyrme forces and pairing correlations in BCS approximation. We study several isotopic chains and consider all the experimentally observed isotopes from neutron‐deficient to neutron‐rich. We discuss various possibilities to define the neutron skin thickness based on the differences between neutron and proton radii as well as definitions based on comparison of the tails of the neutron and proton density distributions. We finally discuss the effects of deformation on the neutron skin based on the example of Kr isotopes. We study the neutron skins in different directions for oblate and prolate shapes and discuss it in terms of the quadrupole components of the density distributions.