Abstract
The nuclear ground-state structure of some Nickel (58-66Ni) isotopes has been investigated within the framework of the mean field approach using the self-consist Hartree-Fock calculations (HF) including the effective interactions of Skyrme. The Skyrme parameterizations SKM, SKM*, SI, SIII, SKO, SKE, SLY4, SKxs15, SKxs20 and SKxs25 have been utilized with HF method to study the nuclear ground state charge, mass, neutron and proton densities with the corresponding root mean square radii, charge form factors, binding energies and neutron skin thickness. The deduced results led to specifying one set or more of Skyrme parameterizations that used to achieve the best agreement with the available experimental data.
Highlights
The detailed theoretical concepts and studies that concern the nuclear structure of the stable nuclei and the nuclei that located near the stability valley require comprehensive microscopic theoretical studies and feasible calculations
Hartree-Fock method linked with Skyrme interaction (SHF) construct an efficacious model that has the significant effect to explain various nuclear properties such as density distributions, nuclear radii and deformations [2,3]
Theoretical framework The Skyrme effective interaction is considered as a most convenient force used in addition to HF calculations to describe the nuclear ground state properties
Summary
The detailed theoretical concepts and studies that concern the nuclear structure of the stable nuclei and the nuclei that located near the stability valley require comprehensive microscopic theoretical studies and feasible calculations. Theoretical framework The Skyrme effective interaction is considered as a most convenient force used in addition to HF calculations to describe the nuclear ground state properties This force consists of the momentum dependent two-body term and the zero-range three-body term [1, 2, 18]: with: For even-even spin saturated nuclei, we have:. And are the Skyrme free parameters describing the strengths of different interaction terms These parameters are determined from the comparison between the calculated and the experimental nuclear ground state properties such as binding energies, nucleon densities and root mean square radii. In the limit → 0, the target will be represented as a point particle, and the form factor of this target is equal to unity → 0 1
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