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The two-frequency shell model approach is used to calculate theground state matter density distribution and the corresponding rootmean square radii of the two-proton17Ne halo nucleus with theassumption that the model space of 15O core nucleus differ from themodel space of extra two loosely bound valence protons. Twodifferent size parameters bcore and bhalo of the single particle wavefunctions of the harmonic oscillator potential are used. Thecalculations are carried out for different configurations of the outerhalo protons in 17Ne nucleus and the structure of this halo nucleusshows that the dominant configuration when the two halo protons inthe 1d5/2 orbit (15O core plus two protons halo in pure 1d5/2 orbit). Thecalculated matter density distribution in terms of the two-frequencyshell model is compared with the calculated one in terms one sizeparameter for all orbits to illustrate the effect of introducing one ortwo size parameters in calculations. The longitudinal form factors forelastic C0 and inelastic C2 electron scattering from 17Ne nucleus arecalculated for the considered configurations and for three states ofeach configuration which are the ground state ( JT  1 2 3 2 ) andthe first two excited states ( JT  3 2 3 2 ) and ( JT  5 2 3 2 ).The electric transition strengths B(C2) are calculated for the excitedstates and for the effective nucleon charges which are used in thiswork and compared with the experimental values.

The self-consistent Hartree-Fock (HF) calculations with several Skyrme parameterizations; SKM, SKM*, SLY4, SKxs25, MSK7, SKO, SKxta, and SKxtb have been used to investigate some static nuclear ground-state properties of some Chromium (50-54 Cr) isotopes. The nuclear ground state charge, mass, neutron and proton densities with the corresponding root mean square radii, the charge form factors, the total binding energies and the neutron skin thickness can be calculated. The calculations are performed using NuShellX@MSU code, where 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.

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