Study of charge density distributions, elastic charge form factors and root-mean square radii for 4He, 12C and 16O nuclei using Woods- Saxon and harmonic-oscillator potentials

  • Arkan R. Ridha
Keywords: Stable nuclei, ground density distribution, elastic form factor, root-mean-square radii, Woods-Saxon potential.

Abstract

The nuclear charge density distributions, form factors and
corresponding proton, charge, neutron, and matter root mean square
radii for stable 4He, 12C, and 16O nuclei have been calculated using
single-particle radial wave functions of Woods-Saxon potential and
harmonic-oscillator potential for comparison. The calculations for the
ground charge density distributions using the Woods-Saxon potential
show good agreement with experimental data for 4He nucleus while
the results for 12C and 16O nuclei are better in harmonic-oscillator
potential. The calculated elastic charge form factors in Woods-Saxon
potential are better than the results of harmonic-oscillator potential.
Finally, the calculated root mean square radii usingWoods-Saxon
potentials how overestimation in comparison with experimental data
on contrary to the results of harmonic-oscillator potential.

Published
2019-02-03
Section
Articles