Abstract
Over the last few decades the mean field approach using selfconsistentHaretree-Fock (HF) calculations with Skyrme effectiveinteractions have been found very satisfactory in reproducingnuclear properties for both stable and unstable nuclei. They arebased on effective energy-density functional, often formulated interms of effective density-dependent nucleon–nucleon interactions.In the present research, the SkM, SkM*, SI, SIII, SIV, T3, SLy4,Skxs15, Skxs20 and Skxs25 Skyrme parameterizations have beenused within HF method to investigate some static and dynamicnuclear ground state proprieties of 84-108Mo isotopes. In particular,the binding energy, proton, neutron, mass and charge densities andcorresponding root mean square radius, neutron skin thickness andcharge form factor are calculated by using this method with theSkyrme parameterizations mentioned above. The calculated resultsare compared with the available experimental data. Calculationsshow that the Skyrme–Hartree–Fock (SHF) theory with aboveforce parameters provides a good description on Mo isotopes.
Highlights
Over the last ten years, Hartree-FockSkyrme forces have been found very (HF) calculations using phenomenological satisfactory in reproducing static and low density-dependent effective forces like energy dynamical nuclear properties [1]
It is a very useful tool for the calculations of the mean field approach which assumes that nucleons move independently in a mean field generated by the other nucleons of the atomic nucleus
The most prominent interaction used with the HF method is the Skyrme interaction
Summary
Skyrme forces have been found very (HF) calculations using phenomenological satisfactory in reproducing static and low density-dependent effective forces like energy dynamical nuclear properties [1]. Theory The effective interaction proposed by Skyrme was designed for HF calculations of nuclei [14, 15] It is the most convenient force used in the description of the ground state properties of nuclei with about ten adjustable parameters which are obtained by fitting the experimental data of nuclei, such as binding energies and charge radii [16]. The Coulomb energy is given by: where is the local densities for protons and neutrons (depending on the value of q), the total density, is the kinetic energy densities for protons and neutrons, is Skyrme force parameter and is the spin-orbit current density They are given by [3]: In the SHF theory using the Skyrme forces, the most general product wave functions ( ) consist of independently moving single particles.
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