A Skyrme functional for Hartree-Fock calculations of nuclear masses and density distributions

A Skyrme functional is presented which is designed for calculations of nuclear masses and density distributions in a constrained time invariant Hartree-Fock + BCS model. With an effective mass equal to the nucleon mass, the experimental masses are reproduced for spherical nuclei with a rms deviation of 1 MeV. A good fit to experimental density distributions is obtained, including equal charge radii for 40Ca and 48Ca, and taking into account experimental data for the neutron skin thickness in 208Pb. (orig.)