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.

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 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 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.

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 Elastic electron scattering from 17Ne and 27P exotic nuclei

2019 ◽  
Vol 13 (28) ◽  
pp. 68-81
Author(s):  
A. R. Ridha
Keyword(s):  
Electron Scattering ◽  
Form Factors ◽  
Computer Code ◽  
Exotic Nuclei ◽  
Proton Density ◽  
Elastic Electron ◽  
Elastic Electron Scattering ◽  
The Difference ◽  
Proton Form Factors ◽  
Near Future

The ground state proton, neutron and matter densities andcorresponding root mean square radii of unstable proton-rich 17Neand 27P exotic nuclei are studied via the framework of the twofrequencyshell model. The single particle harmonic oscillator wavefunctions are used in this model with two different oscillator sizeparameters core b and halo , b the former for the core (inner) orbitswhereas the latter for the halo (outer) orbits. Shell model calculationsfor core nucleons and for outer (halo) nucleons in exotic nuclei areperformed individually via the computer code OXBASH. Halostructure of 17Ne and 27P nuclei is confirmed. It is found that thestructure of 17Ne and 27P nuclei have 25 / 2 (1d ) and 1/ 2 2s -dominantconfigurations, respectively. Elastic electron scattering form factorsof these exotic nuclei are also studied using the plane wave Bornapproximation. Effects of the long tail behavior of the proton densitydistribution on the proton form factors of 17Ne and 27P areanalyzed. It is found that the difference between the proton formfactor of 17Ne and that of stable 20Ne (or of 27P and that of stable31P) comes from the difference in the proton density distribution ofthe last two protons (or of the last proton) in the two nuclei. It isconcluded that elastic electron scattering will be an efficient tool (inthe near future) to examine proton-halo phenomena of proton-richnuclei.

scholarly journals STRUCTURE EFFECT ON ONE-NEUTRON REMOVAL REACTION USING RELATIVISTIC MEAN FIELD DENSITIES IN GLAUBER MODEL

2011 ◽  
Vol 20 (12) ◽  
pp. 2505-2519 ◽  
Author(s):  
R. N. PANDA ◽  
S. K. PATRA
Keyword(s):  
Experimental Data ◽  
Cross Sections ◽  
Mean Field ◽  
Reaction Cross ◽  
Glauber Model ◽  
Halo Nuclei ◽  
Relativistic Mean Field ◽  
The Difference ◽  
The One ◽  
Good Agreement

We calculate the one-neutron removal reaction cross-section (σ-1n) for a few stable and neutron-rich Boron and Carbon halo nuclei with 12 C as target, using relativistic mean field (RMF) densities, in the frame work of Glauber model. The results are compared with the experimental data. Study of the stable nuclei with the deformed densities have shown a good agreement with the data. However, it differs significantly for the halo nuclei. We observe that while estimating the σ-1n value from the difference of reaction cross-sections of two neighboring nuclei with mass number A and that of A-1 in an isotopic chain, we get good agreement with the known experimental data for the halo cases.

scholarly journals Density distributions, form factors and reaction cross sections for exotic 11Be and 15C nuclei

2019 ◽  
Vol 12 (24) ◽  
pp. 10-24
Author(s):  
Ahmed N. Abdullah
Keyword(s):  
Cross Sections ◽  
Single Particle ◽  
Ground State ◽  
Form Factors ◽  
Reaction Cross ◽  
Exotic Nuclei ◽  
Wave Functions ◽  
Proton Form ◽  
Proton Form Factors ◽  
Reaction Cross Sections

The ground state proton, neutron and matter densities of exotic 11Be and 15C nuclei are studied by means of the TFSM and BCM. In TFSM, the calculations are based on using different model spaces for the core and the valence (halo) neutron. Besides single particle harmonic oscillator wave functions are employed with two different size parameters  Bc and Bv.  In BCM, the halo nucleus is considered as a composite projectile consisting of core and valence clusters bounded in a state of relative motion. The internal densities of the clusters are described by single particle Gaussian wave functions.  Elastic electron scattering proton form factors for these exotic nuclei are analyzed via the plane wave born approximation (PWBA). As the calculations in the BCM do not distinguish between protons and neutrons, the calculations of the proton form factors are restricted only by the TFSM. The reaction cross sections for these exotic nuclei are studied by means of the Glauber model with an optical limit approximation using the ground state densities of the projectile and target, where these densities are described by single Gaussian functions. The calculated reaction cross sections at high energy are in agreement with the experimental data.

Analysis of the reaction cross-sections of 22−36Na+12C and 19−27F+12C at 240MeV/u

2019 ◽  
Vol 28 (06) ◽  
pp. 1950046
Author(s):  
M. Rashdan ◽  
M. M. Taha ◽  
T. A. Abdel-Karim ◽  
S. Esmail
Keyword(s):  
Experimental Data ◽  
Cross Section ◽  
Cross Sections ◽  
Reaction Cross Section ◽  
Good Description ◽  
Effective Interaction ◽  
Reaction Cross ◽  
Glauber Model ◽  
Recent Experimental Data ◽  
Reaction Cross Sections

The nucleus–nucleus reaction cross-sections of [Formula: see text]C and [Formula: see text]C at 240[Formula: see text]MeV/u are calculated using the optical limit of the Glauber model. The deformation and radii of a deformed Fermi density are calculated from the relativistic mean field (RMF). The results are compared with the recent experimental data. It is found that the Fermi density whose quadrupole deformation parameters and radii are derived from RMF, using TMA effective interaction in the RMF Lagrangian, provide a satisfactory explanation of the experimental data of Na isotopes, except for [Formula: see text]Na, which are expected to be strongly deformed. For F isotopes, the deformed Fermi density adjusted to the radii derived from RMF, using TMA interaction, presents a lower reaction cross-section. The Lagrangian parameters set NL3* gives a good description of the data which is better than that predicted by TMA. On the other hand, the two forces cannot describe the reaction cross-section of [Formula: see text]F since it is expected to have a deformed halo structure. The radius deduced from the data is found to be of the order 3.5[Formula: see text]fm.

Deformation and orientation effects on reaction cross-sections at intermediate and high energies

2019 ◽  
Vol 28 (03) ◽  
pp. 1950014
Author(s):  
M. Rashdan ◽  
Sh. M. Sewailem
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Local Density ◽  
Nucleon Nucleon ◽  
Reaction Cross ◽  
Glauber Model ◽  
Medium Effects ◽  
High Energies ◽  
The Difference ◽  
Reaction Cross Sections

The effects of deformation and orientation on the nucleus–nucleus and proton–nucleus reaction cross-sections are investigated at intermediate and high energies, in the framework of the Coulomb modified Glauber model. The matter density of the projectile is treated by a deformed Fermi shape with quadrupole and hexadecapole deformations. In-medium effects are included through a local density- and an energy-dependent effective nucleon–nucleon total cross-section. Calculations are performed for the deformed projectiles [Formula: see text] colliding by [Formula: see text] and by protons. It is found that the average of reaction cross-section over all directions of the symmetry axis of the deformed projectile differs by about 2[Formula: see text] compared with that calculated for a spherical projectile with the same rms matter radius as the deformed one. The difference between the cross-sections calculated with and without medium effects is of the order 2[Formula: see text] for both deformed and spherical cases. The integrated reaction cross-sections over all orientation angles provide a consistent explanation of the experimental data. The orientation of the heavy projectile can produce a difference in the calculated cross-section about 35[Formula: see text] for nucleus–nucleus and about 45[Formula: see text] for proton–nucleus. This study is also useful for experiments of polarized beams that have created opportunities to study oriented collisions of deformed nuclei. The method is applied to extract the rms radius of [Formula: see text] and it is found to be about 3.56 and 3.45[Formula: see text]fm when using deformation with and without in-medium effects.

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