Nuclear matter distributions of neutron rich ⁶He, ¹¹Li, ¹⁴Be and ¹⁷B halo nuclei studied by the Bear–Hodgson potential

Abstract

The radial wave functions of the Bear–Hodgson potential have been used to study the ground state features such as the proton, neutron and matter densities and the associated rms radii of two neutrons halo 6He, [Formula: see text]Li, [Formula: see text]Be and [Formula: see text]B nuclei. These halo nuclei are treated as a three-body system composed of core and outer two-neutron [Formula: see text]. The radial wave functions of the Bear–Hodgson potential are used to describe the core and halo density distributions. The interaction of core-neutron takes the Bear–Hodgson potential form. The outer two neutrons of 6He and [Formula: see text]Li interact by the realistic interaction REWIL whereas those of [Formula: see text]Be and [Formula: see text]B interact by the realistic interaction of HASP. The obtained results show that this model succeeds in reproducing the neutron halo in these nuclei. From the calculated densities, it is found that 6He, [Formula: see text]Li, [Formula: see text]Be and [Formula: see text]B have a long tail in neutron and matter densities which is consistent with the experimental data. Elastic charge form factors for these halo nuclei are analyzed via the plane wave Born approximation.

Study of the nuclear structure of halo nuclei 23O and 24F using the two-body model

“…where ( ) and ( ) are the core and halo densities, respectively and can be written as [12]: densities as [10]:…”

“…The reaction cross sections for these nuclei have been studied using the Glauber model with an optical limit approximation (OLA) at high energy region. Abdullah [10] studied the ground state densities of halo 6 He, 11 Li, 12 Be and 14 Be nuclei using a three-body model of (core + n + n). The long tail property was shown in the calculated neutron and matter densities of these nuclei.…”

“…Abdullah [12] used the radial wave functions of the Bear-Hodgson potential to study the ground state features such as the proton, neutron and matter densities and the associated rms radii of two neutrons halo 6 He, 11 Li, 14 Be and 17 B nuclei. These halo nuclei were treated as a three-body system composed of core and outer two-neutron (Core + n + n).…”

Matter Density Distributions, Root-mean Square Radii and Elastic Electron Scattering Form Factors of Some Exotic Nuclei (17B, 11Li, 8He)

“…The central polarization transition density is calculated using the Tassie model's shape and the derived form of the ground state two-body charge density distributions (2BCDD's) in his research. Ahmed N. Abdullah [8] studied the nuclear matter distributions of neutron rich 6 He, 11 Li, 14 Be and 17 B halo nuclei by the Bear Hodgson potential. These halo nuclei are treated as a three-body system composed of core and outer two-neutron (Core + n + n).…”

“…The aim of the work is to derive an expression for the ground state twobody nucleon density distributions (2BNDD's) of some exotic nuclei ( 17 B, 11 Li, 8 He), based on the use of the twobody wave functions of the harmonic oscillator in order to employ it for the study of the effects of the (TC's), and oscillator size parameter on the root mean square radii, 2BNDD's and elastic form factors.…”