Abstract
In this work, the calculation of matter density distributions, elastic charge form factors and size radii for halo 11Be, 19C and 11Li nuclei are calculated. Each nuclide under study are divided into two parts; one for core part and the second for halo part. The core part are studied using harmonic-oscillator radial wave functions, while the halo part are studied using the radial wave functions of Woods-Saxon potential. A very good agreement are obtained with experimental data for matter density distributions and available size radii. Besides, the quadrupole moment for 11Li are generated.
Highlights
The development of the radioactive ion beams has allowed studies of nuclei far from stability. This technical headway led to the discovery of halo nuclei on the neutron-rich side of the valley of stability [1, 2]
The quadrupole moment is related to the multiparticle reduced matrix element of electric multipole operator by the relation [20]:
It is obvious that the inclusion of configuration mixing to insure the contribution from higher subshells leads to freely get match between the calculated matter density distribution and experimental at tail part
Summary
The development of the radioactive ion beams has allowed studies of nuclei far from stability This technical headway led to the discovery of halo nuclei on the neutron-rich side of the valley of stability [1, 2]. Al-Khalili and Tostevin [9] re-examine the matter radii of diffuse halo nuclei as deduced from reaction cross section measurements at high energies. Al-Khalili, and Thompson [10], studied root mean square (rms) matter radii of halo nuclei They reviewed a basic measure in constructing, constraining, and assessing theoretical models of halo structures. They took loosely bound two- and three-body systems 11Be, 6He, 11Li, and 14Be. Esbensen et al [11] investigated the consistency of the measured charge radius and dipole response of 11Li within a three-body model. Information from those shell model studies were used in evaluating cross sections of the scattering of 70 A MeV 17,19C ions from hydrogen
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