Abstract

Nuclear structure of 29-34Mg isotopes toward neutron dripline have been investigated using shell model with Skyrme-Hartree–Fock calculations. In particular nuclear densities for proton, neutron, mass and charge densities with their corresponding rms radii, neutron skin thicknesses and inelastic electron scattering form factors are calculated for positive low-lying states. The deduced results are discussed for the transverse form factor and compared with the available experimental data. It has been confirmed that the combining shell model with Hartree-Fock mean field method with Skyrme interaction can accommodate very well the nuclear excitation properties and can reach a highly descriptive and predictive power when investigating different nuclear configurations of stable and unstable nuclei.

Highlights

  • In atomic shell model, the shells are characterized according to atomic quantum numbers which may be computed from atomic Coulomb potential as given by the protons of the nucleus

  • Several studies have been performed to investigate the nuclear structure of magnesium isotopes [3,4,5] such as, nuclear densities for proton, neutron, mass and charge densities with their corresponding rms radii, neutron skin thicknesses and inelastic electron scattering form factors

  • In the nuclear density distribution (NDD), it is considered that nucleus nucleons play the role of point particles

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Summary

Introduction

The shells are characterized according to atomic quantum numbers which may be computed from atomic Coulomb potential (and ensuing the equation of the Eigen value) as given by the protons of the nucleus. Several studies have been performed to investigate the nuclear structure of magnesium isotopes [3,4,5] such as, nuclear densities for proton, neutron, mass and charge densities with their corresponding rms radii, neutron skin thicknesses and inelastic electron scattering form factors.

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