M Ghafouri - University of Kashan, Department of Physics, Faculty of Science, Kashan, Iran
H Sadeghi - University of Kashan, Department of Physics, Faculty of Science, Kashan, Iran

The most significant microscopic method in nuclear physics to calculate in large-scale nuclear structure in medium and heavy nuclei is energy density functional (EDF) theory that it has used successfully to describe the nuclei away from β-stability. This method used for the treatment of spherical nuclei, while to implement in systems with deformed equilibrium shapes is very difficult. The Hartree-Fock (HF) msthod will provide an excellent approximation of closed sell magic nuclei. Also the pairing correlations constitute a necessary ingredient for the description of open shell nuclei. These effects are commonly reported by the HF plus the BCS (HFBCS) or Hartree-Fock-Bogolyubov (HFB) method. HF calculations for even-even Ni isotopes with using Skyrme density dependent effective nucleon-nucleon interaction are discussed systematically. Skyrme interaction and the formula for the mean energy of a spherical nucleus are described. These subjects in the arenas of the nuclear chart have been investigated and this studies have been compared with observational information. We compute observations such as the total energy, charge radii and densities and ets within the SkyrmeHartree-Fock-Bogolyboy (SHFB) and Skyrme-Hartree-Fock (SHF) approaches for neutrons and protons that compared with experimental data and the result of the spherical codes, and deformed codes for Ni isotopes. Particle and pairing densities in spherical even-even neutron-rich nuclei are considered within the SHFB and SHF approach with the density-dependent pairing interaction. Zero-range density-dependent interactions are utilized in the pairing channel. Also we solve the SHF or SHFB equations in the spatial coordinates with spherical symmetry for Ni isotopes.

Skyrme-Hartree-Fock-Bogolyboy (SHFB), Skyrme-Hartree-Fock (SHF), Energy Density Functional (EDF) Theory, Self-Consistent