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

doi:10.30723/ijp.v14i30.199

Abstract

The nuclear charge density distributions, form factors andcorresponding proton, charge, neutron, and matter root mean squareradii for stable 4He, 12C, and 16O nuclei have been calculated usingsingle-particle radial wave functions of Woods-Saxon potential andharmonic-oscillator potential for comparison. The calculations for theground charge density distributions using the Woods-Saxon potentialshow good agreement with experimental data for 4He nucleus whilethe results for 12C and 16O nuclei are better in harmonic-oscillatorpotential. The calculated elastic charge form factors in Woods-Saxonpotential are better than the results of harmonic-oscillator potential.Finally, the calculated root mean square radii usingWoods-Saxonpotentials how overestimation in comparison with experimental dataon contrary to the results of harmonic-oscillator potential.

Highlights

The radial distributions and sizes of nuclear matter and charges are basic properties of nuclei
The results showed an overestimation in the calculated charge, matter, proton, and neutron radii in WS potential for
Potential is better than the result for WS potential in comparison both with available experimental data

Summary

Introduction

The radial distributions and sizes of nuclear matter and charges are basic properties of nuclei. The harmonic-oscillator (HO) potential is not accurate to describe the nuclear central confining potential because the potential continues to give a contribution even for much larger (distance from the center of nucleus) and does not become zero, besides the radial wave functions obtained from HO have a Gaussian fall-off behavior at large r which does not reproduce the correct exponential tail. Gamba et al [4] calculated the parameters of a WS potential well for ten p-shell nuclei by fitting the electron scattering form factors and single-particle separation energies

Objectives

Results

Conclusion