Theoretical Study of Elastic Electron Scattering from 8B, 17Ne, 11Be and 11Li Halo Nuclei

Abstract

The nuclear density distributions and size radii are calculated for one-proton 8B, two-proton 17Ne, one-neutron 11Be and two-neutron 11Li halo nuclei. The theoretical outlines of calculations assume that the nuclei understudy are composed of two parts: the stable core and the unstable halo. The core part is studied using the radial wave functions of harmonic-oscillator (HO) potentials, while the halo is studied through Woods-Saxon (WS) potential. The long tail behaviour which is the main characteristic of the halo nuclei are well generated in comparison with experimental data. The calculated size radii are in good agreement with experimental values. The elastic electron scattering form factors of the C0 component are also calculated for the aforementioned nuclei. The calculated form factor results give predictions for the results of future experiments on electron-radioactive ion beam colliders.

Properties of Ground-State of 17,19,20,24,26F using the Wave Functions of Harmonic-Oscillator and Spherical Hankel Functions

“…The transformed HO basis obtained by Local Scale Transformation (LST) is a promising method for regenerating the long tail behavior in the density distribution [9,10]. The single-particle wave functions of the HO and Woods-Saxon (WS) potential are employed to investigate the stable core and unstable halo parts [11,12].…”

Study of Nuclear Structure and Elastic Electron Scattering Form Factors for Neutron Halo Nuclei (22N ,23O and 24F) Using Full Correlation Functions with Two Size Parameters

“…The nuclear shell model with the Skyrme-Hartree-Fock (SHF), as a nonrelativistic approach, and the Relativistic Hartree-Fock-Bogoliubov (RHFB) methods have been used to study the nuclear structure of some exotic nuclei at the proton and neutron drip lines ,for a neutron halo in 11 Li and 14 Be and proton halo in 17 Ne, 23 Al and 27 P , by Allami et al, [12].Abdullah [13] studied the ground-state density distribution of proton, neutron, and matter (Core + n) using the radial wave functions of the generalized Woods-Saxon potential inside the two-body model of protons, neutrons, and matter (Core + n). Ridha et al, [14] the theoretical outlines of calculations assume that the nuclei understudy are composed of two parts: the stable core and the unstable halo. The core part is studied using the radial wave functions of harmonic-oscillator (HO) potentials, while the halo is studied through Woods-Saxon (WS) potential for some exotic nuclei.…”

Theoretical Study of Matter Density Distributions, and Elastic Electron Scattering Form Factors of Exotic Nuclei (26F and 9C)

“…Halo nuclei ( 8 He and 26 F) were studied by Ghufran M. [9] using the 3-body harmonic oscillator model and Woods-Saxon radial wave functions. While studying the theoretical outlines of calculations, assume that the nuclei understudy are composed of two parts: the stable core and the unstable halo, where the core part is studied using the radial wave functions of harmonic-oscillator (HO) potentials, and the halo is studied using the Woods-Saxon (WS) potential for ( 8 B, 17 Ne, 11 Be, and 11 Li) nuclei by Arkan et al [10].…”