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

2020 ◽  
Vol 35 (26) ◽  
pp. 2050212
Author(s):  
Ahmed N. Abdullah
Keyword(s):  
Form Factors ◽  
Wave Functions ◽  
Halo Nuclei ◽  
Long Tail ◽  
Radial Wave ◽  
Density Distributions ◽  
Realistic Interaction ◽  
Potential Form ◽  
Plane Wave Born Approximation ◽  
Three Body

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.

Nuclear structure investigation of some neutron-rich halo nuclei

2017 ◽  
Vol 26 (07) ◽  
pp. 1750048 ◽  
Author(s):  
Ahmed N. Abdullah
Keyword(s):  
Form Factors ◽  
Wave Functions ◽  
Halo Nuclei ◽  
Long Tail ◽  
Halo Structure ◽  
Density Distributions ◽  
The Core ◽  
Body Model ◽  
Realistic Interaction ◽  
Three Body

The ground state proton, neutron and matter densities, the corresponding rms radii and charge form factors of a dripline nuclei 6He, [Formula: see text]Li, [Formula: see text]Be and [Formula: see text]Be have been studied via a three–body model of [Formula: see text]. The core–neutron interaction takes the form of Woods-Saxon (WS) potential. The two valence neutrons of 6He, [Formula: see text]Li and [Formula: see text]Be interact by the realistic interaction of ZBMII while those of [Formula: see text]Be interact via the realistic interaction of VPNP. The core and valence (halo) density distributions are described by the single-particle wave functions of the WS potential. The calculated results are discussed and compared with the experimental data. The long tail performance is clearly noticed in the calculated neutron and matter density distributions of these nuclei. The structure of the two valence neutrons in 6He, [Formula: see text]Li and [Formula: see text]Be is found to be mixed configurations with dominant [Formula: see text] while that for [Formula: see text]Be is mixed configurations with dominant ([Formula: see text]. The analysis of the present study supports the halo structure of these nuclei.

scholarly journals Study of the Density Distributions and Elastic form Factors of the Exotic Nuclei, 8He And 26F, Via the Three-Body Model

2021 ◽  
pp. 2555-2564
Author(s):  
Ghufran M. Sallh ◽  
Ahmed N. Abdullah
Keyword(s):  
Form Factors ◽  
High Energy ◽  
Exotic Nuclei ◽  
Wave Functions ◽  
Glauber Model ◽  
Radial Wave ◽  
Density Distributions ◽  
Body Model ◽  
Elastic Form ◽  
Three Body

    The matter, proton, and neutron density distributions of the ground state, the nuclear root-mean-square (rms) radii, and the elastic form factors of a two- neutron, 8He and 26F, halo nuclei have been studied by the three body model of  within the harmonic oscillator (HO) and Woods-Saxon (WS) radial wave functions. The calculated results show that the two body model within the HO and WS radial wave functions succeeds in reproducing the neutron halo in these exotic nuclei. Moreover, the Glauber model at high energy (above several hundred MeV) has been used to calculate the rms radii and reaction cross sections of these nuclei.

Asymptotics of three-body bound state radial wave functions of halo nuclei

2002 ◽  
Vol 705 (3-4) ◽  
pp. 335-351 ◽  
Author(s):  
R. Yarmukhamedov ◽  
D. Baye ◽  
C. Leclercq-Willain
Keyword(s):  
Bound State ◽  
Wave Functions ◽  
Halo Nuclei ◽  
Radial Wave ◽  
Three Body

ON ASYMPTOTICS OF THREE-BODY BOUND STATE RADIAL WAVE FUNCTIONS OF HALO NUCLEI NEAR THE HYPERANGLE φ~0 AND φ~π/2 IN THE CONFIGURATION SPACE AND THREE-BODY ASYMPTOTIC NORMALIZATION FACTORS FOR 6He NUCLEUS IN THE (n+n+α)-CHANNEL

2009 ◽  
Vol 18 (07) ◽  
pp. 1561-1585 ◽  
Author(s):  
R. YARMUKHAMEDOV ◽  
M. K. UBAYDULLAEVA
Keyword(s):  
Wave Function ◽  
Configuration Space ◽  
Bound State ◽  
Wave Functions ◽  
Halo Nuclei ◽  
Asymptotic Normalization ◽  
Radial Wave ◽  
Asymptotic Expressions ◽  
Three Body ◽  
Normalization Factors

Asymptotic expressions for the bound state radial partial wave functions of three-body (nnc) halo nuclei with two loosely bound valence neutrons (n) are obtained in explicit form, when the relative distance between two neutrons (r) tends to infinity and the relative distance between the center of mass of core (c) and two neutrons (ρ) is too small or vice versa. These asymptotic expressions contain a factor that can strongly influence the asymptotic values of the three-body radial wave function in the vicinity of the hyperangle of φ~0 except 0 (r→∞ and ρ is too small except 0) or φ~π/2 except π/2 (ρ→∞ and r is too small except 0) in the configuration space. The derived asymptotic forms are applied to the analysis of the asymptotic behavior of the three-body (nnα) wave function for 6He nucleus obtained by other authors on the basis of multicluster stochastic variational method using the two forms of the αN-potential. The ranges of r (or ρ) from the asymptotical regions are determined for which the agreement between the calculated wave function and the asymptotics formulae is reached. Information about the values of the three-body asymptotic normalization factors is extracted.

scholarly journals Study of matter density distributions, elastic charge form factors and size radii for halo 11Be, 19C and 11Li nuclei

2018 ◽  
Vol 16 (36) ◽  
pp. 29-38
Author(s):  
Zaid M. Abbas
Keyword(s):  
Form Factors ◽  
Matter Density ◽  
Wave Functions ◽  
Saxon Potential ◽  
Radial Wave ◽  
Charge Form ◽  
Density Distributions ◽  
The Core ◽  
Core Part ◽  
Good Agreement

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.

scholarly journals Density Distributions and Elastic Electron Scattering Form Factors of Proton-rich 8B, 17F, 17Ne, 23Al and 27P Nuclei

2019 ◽  
pp. 1286-1296
Author(s):  
Rafah I. Noori ◽  
Arkan R. Ridha
Keyword(s):  
Electron Scattering ◽  
Form Factors ◽  
Binding Energies ◽  
Wave Functions ◽  
Nuclear Density ◽  
Elastic Electron ◽  
Elastic Electron Scattering ◽  
Saxon Potential ◽  
Radial Wave ◽  
Density Distributions

In this work, the nuclear density distributions, size radii and elastic electron scattering form factors are calculated for proton-rich 8B, 17F, 17Ne, 23Al and 27P nuclei using the radial wave functions of Woods-Saxon potential. The parameters of such potential for nuclei under study are generated so as to reproduce the experimentally available size radii and binding energies of the last nucleons on the Fermi surface.

scholarly journals Study of the matter density distributions of halo nuclei 6He and 16C using the binary cluster model

2021 ◽  
Vol 2114 (1) ◽  
pp. 012045
Author(s):  
S Q Abdullah ◽  
A N Abdullah
Keyword(s):  
Cluster Model ◽  
Form Factors ◽  
Reaction Cross ◽  
Glauber Model ◽  
Halo Nuclei ◽  
Neutron Density ◽  
Long Tail ◽  
Halo Structure ◽  
Density Distributions ◽  
Elastic Form

Abstract The harmonic oscillator (HO) and Gaussian (GS) wave functions within the binary cluster model (BCM) have been employ to investigate the ground state neutron, proton and matter densities as well as the elastic form factors of two-neutron 6He and 16C halo nuclei. The long tail is a property that is clearly revealed in the density of the neutrons since it is found in halo orbits. The existence of a long tail in the neutron density distributions of 6He and 16C indicating that these nuclei have a neutron halo structure. Moreover, the matter rms radii and the reaction cross section (σr) of these nuclei have been calculated using the Glauber model.

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

2020 ◽  
Vol 18 (46) ◽  
pp. 29-38
Author(s):  
Ghufran Mahdy Sallh ◽  
Ahmed Najim Abdullah
Keyword(s):  
Nuclear Structure ◽  
Form Factors ◽  
High Energy ◽  
Reaction Cross ◽  
Wave Functions ◽  
Glauber Model ◽  
Halo Nuclei ◽  
Radial Wave ◽  
Body Model ◽  
Elastic Form

The nuclear structure included the matter, proton and neutron densities of the ground state, the nuclear root-mean-square (rms) radii and elastic form factors of one neutron 23O and 24F halo nuclei have been studied by the two body model of  within the harmonic oscillator (HO) and Woods-Saxon (WS) radial wave functions. The calculated results show that the two body model within the HO and WS radial wave functions succeed in reproducing neutron halo in these exotic nuclei. Moreover, the Glauber model at high energy has been used to calculated the rms radii and reaction cross section of these nuclei.

scholarly journals Electromagnetic transition form factors of baryons in a relativistic Faddeev approach

2018 ◽  
Vol 181 ◽  
pp. 01013 ◽  
Author(s):  
Reinhard Alkofer ◽  
Christian S. Fischer ◽  
Hèlios Sanchis-Alepuz
Keyword(s):  
Ground State ◽  
Bound States ◽  
Body Wave ◽  
Form Factors ◽  
Wave Functions ◽  
Electromagnetic Form Factors ◽  
Transition Form ◽  
Electromagnetic Transition ◽  
Three Body ◽  
Gluon Interaction

The covariant Faddeev approach which describes baryons as relativistic three-quark bound states and is based on the Dyson-Schwinger and Bethe-Salpeter equations of QCD is briefly reviewed. All elements, including especially the baryons’ three-body-wave-functions, the quark propagators and the dressed quark-photon vertex, are calculated from a well-established approximation for the quark-gluon interaction. Selected previous results of this approach for the spectrum and elastic electromagnetic form factors of ground-state baryons and resonances are reported. The main focus of this talk is a presentation and discussion of results from a recent investigation of the electromagnetic transition form factors between ground-state octet and decuplet baryons as well as the octet-only Σ0 to Λ transition.

Sign in / Sign up

Export Citation Format

Share Document