Liquid-drop type expansion of nuclear binding and deformation energies with Skyrme forces

Starting from the energy density formalism with effective Skyrme forces, the authors show how a liquid drop model like expansion of the nuclear binding energy can be systematically obtained. For a model Skyrme force with constant effective nucleon mass, all liquid drop parameters of symmetric nuclei can be given analytically in terms of the Skyrme parameters. Numerical tests of the leptodermous expansion are presented. (11 refs).