HartreeFock Calculations with Skyrme's Interaction. I. Spherical Nuclei
Abstract
HartreeFock calculations for spherical nuclei using Skyrme's densitydependent effective nucleonnucleon interaction are discussed systematically. Skyrme's interaction is described and the general formula for the mean energy of a spherical nucleus derived. HartreeFock equations are obtained by varying the mean energy with respect to the singleparticle wave functions of occupied states. Relations between the parameters of the Skyrme force and various general properties of nuclear matter and finite nuclei are analyzed. Calculations have been made for closedshell nuclei using two rather different sets of parameters, both of which give good binding energies and radii for ^{16}O and ^{208}Pb. Both interactions give good binding energies and charge radii for all closedshell nuclei. Calculated electron scattering angular distributions agree qualitatively with experiment, and for one interaction there is good quantitative agreement. The singleparticle energies calculated with the two interactions are somewhat different owing to a different nonlocality of the HartreeFock potentials, but both interactions give the correct order and density of singleparticle levels near the Fermi level. They differ most strongly in their predictions for the energies of 1s singleparticle states.
 Publication:

Physical Review C
 Pub Date:
 March 1972
 DOI:
 10.1103/PhysRevC.5.626
 Bibcode:
 1972PhRvC...5..626V