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.

Study of the proton halo structure of nuclei 23Al and 27P using the binary cluster model

2021 ◽  
Vol 19 (48) ◽  
pp. 21-32
Author(s):  
Luay Fadhil S. ◽  
Ahmed Najem Abdullah
Keyword(s):  
Stable Isotopes ◽  
Cluster Model ◽  
Good Description ◽  
Outer Part ◽  
Form Factors ◽  
Exotic Nuclei ◽  
Glauber Model ◽  
Proton Density ◽  
Halo Structure ◽  
Elastic Form

The neutron, proton, and matter densities of the ground state of the proton-rich 23Al and 27P exotic nuclei were analyzed using the binary cluster model (BCM). Two density parameterizations were used in BCM calculations namely; Gaussian (GS) and harmonic oscillator (HO) parameterizations. According to the calculated results, it found that the BCM gives a good description of the nuclear structure for above proton-rich exotic nuclei. The elastic form factors of the unstable 23Al and 27P exotic nuclei and those of their stable isotopes 27Al and 31P are studied by the plane-wave Born approximation. The main difference between the elastic form factors of unstable nuclei and their stable isotopes is caused by the variation in the proton density distributions, especially the details of the outer part. Moreover, the Glauber model is used to calculate the matter rms radii and reaction cross-section of these exotic nuclei.  The calculated results of the mentioned nuclei give a good accordance with the experimental data.

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 Study of the Exotic Structure of Neutron-Rich 14B and 17C Nuclei Using the Binary Cluster Model

2020 ◽  
Vol 23 (4) ◽  
pp. 35-39
Author(s):  
Luay F. Sultan ◽  
◽  
Ahmed N. Abdullah ◽  
Keyword(s):  
Stable Isotopes ◽  
Cluster Model ◽  
Good Description ◽  
Center Of Mass ◽  
Form Factors ◽  
Reaction Cross ◽  
Exotic Nuclei ◽  
Glauber Model ◽  
The Difference ◽  
Elastic Form

The neutron, proton, and matter densities of the ground state of the 14B and 17C exotic nuclei are analyzed using the binary cluster model (BCM). Two density parameterizations are used in BCM calculations namely; Gaussian (GS) and harmonic oscillator (HO) parameterizations. According to the calculated results it found that, the BCM gives a good description of the nuclear structure for above neutron-rich exotic nuclei. The elastic form factors of theunstable 14B and 17C exotic nuclei and those of their stable isotopes 10B and 13C are determined using the plane-wave Born approximation. The main difference between the elastic form factors of unstable nuclei and their stable isotopes is due to the difference in the center of mass correction. Moreover, the Glauber model is used to calculate the matter rms radii and reaction cross section of these exotic nuclei. The calculate results of the mentioned nuclei give a good accordance with the experimental data.

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.

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.

STRUCTURE AND REACTIONS OF NEUTRON-RICH OXYGEN ISOTOPES

2012 ◽  
Vol 21 (10) ◽  
pp. 1250083 ◽  
Author(s):  
M. RASHDAN
Keyword(s):  
Cross Sections ◽  
Mean Field ◽  
High Energy ◽  
Reaction Cross ◽  
Glauber Model ◽  
Medium Effects ◽  
Halo Structure ◽  
Density Distributions ◽  
Optical Limit ◽  
Reaction Cross Sections

The structure of 16-26 O is investigated within the relativistic mean field (RMF) as well as high-energy nuclear collisions. The reaction cross-sections of 16-24 O +12 C around 1 GeV are calculated within the multiple scattering theory, where the multiple integrals are evaluated by Monte Carlo method as well as by the optical limit approximation of the Glauber model. In-medium effects are investigated within the optical limit, where it is found to be important in order to get reliable information about nuclear radii and density distributions. The reaction cross-sections indicate to a halo structure for 23 O . This neutron halo is also found in the rms matter radii and nuclear densities especially when Fermi shape is used in the optical limit, including in-medium effects, in extracting the parameters of the density distributions from the experimental reaction cross-sections.

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.

ANALYSIS OF p-4, 6, 8He AND p-6, 9, 11Li SCATTERING

2013 ◽  
Vol 22 (11) ◽  
pp. 1350082 ◽  
Author(s):  
Z. A. KHAN ◽  
DEEKSHA CHAUHAN ◽  
MINITA SINGH
Keyword(s):  
Differential Cross Section ◽  
Cross Section ◽  
Differential Cross ◽  
Scattering Data ◽  
Glauber Model ◽  
Neutron Density ◽  
Significant Discrepancy ◽  
Nucleon Density ◽  
Density Distributions ◽  
Dependent Part

Using the Coulomb modified Glauber model, we analyze the elastic scattering of protons from He and Li isotopes at 60 MeV and 72 MeV. The calculations require two inputs; the nucleon–nucleon (NN) amplitude and the nucleon density distributions in target nuclei. The central part of the NN amplitude is taken from the available NN scattering observables. To find the spin-dependent part, we employ p-4 He scattering data to fix its parameter values. For target nuclei, we use nucleon density distributions available in the literature. The NN amplitude, as obtained in this work, is then used to study the sensitivity of the calculated differential cross-section and polarization for p-6, 8 He scattering on the density distributions used. It is found that both the differential cross-section and polarization could provide a test to know which is the better choice of nucleon (especially neutron) density distributions. We also present the differential cross-sections for p-6, 9, 11 Li scattering at 60 MeV and 72 MeV in order to assess the suitability of the obtained NN amplitude. It is found that the results are in reasonable agreement with the experiment up to only moderate scattering angles, leaving significant discrepancy at large scattering angles. Our calculations suggest the need of medium modifications in the NN amplitude, arising due to Pauli blocking.

Sign in / Sign up

Export Citation Format

Share Document