Self-consistent description of heavy nuclei. I. Static properties of some even nuclei

Hartree-Fock+BCS calculations of 15 even nuclei within and around the actinide region have been performed with the Skyrme SIII effective force. A careful optimization of the two parameters of the truncated expansion basis has been made for each nucleus. The iterative process has been carried out as far as to yield an excellent numerical convergence of quadrupole $Q_2$ and hexadecapole $Q_4$ moments (better than 0.1% for $Q_2$ and 1% for $Q_4$).Total binding energies have been reproduced up to ∼2 MeV. Charge radii have been found in agreement with experimental data to ∼1%, whereas the error on $Q_2$ and $Q_4$ moments (for $A\le 240$) were less than 5% and 25%, respectively. Single particle Hartree-Fock energy spectra are discussed and will be compared with experimental data in a subsequent paper. Finally, the deformation energy curves of two nuclei (${}_{}{}^{232}{}_{}{}^{}\mathrm{Th}$ and ${}_{}{}^{240}{}_{}{}^{}\mathrm{Pu}$) are displayed.