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.

A study of the energy dependence for the multiplicity of shower particles produced in a 16O–emulsion interaction in the framework of the Coulomb-modified Glauber model

2008 ◽  
Vol 86 (10) ◽  
pp. 1209-1217 ◽  
Author(s):  
M.S.M. Nour El-Din ◽  
M E Solite
Keyword(s):  
Experimental Data ◽  
Cross Sections ◽  
Reaction Cross ◽  
Average Multiplicity ◽  
Glauber Model ◽  
Total Reaction ◽  
Binary Collisions ◽  
Reaction Cross Sections ◽  
Calculated Average ◽  
Good Agreement

The total reaction cross sections for the interaction of 16O with emulsion nuclei (16O–Em) at energies: 0.2, 2.1, 3.6, 14.6, 60.0, and 200.0A GeV have been calculated in the framework of the Coulomb-modified Glauber model. A similar calculation in case of proton–emulsion (p–Em) interactions is carried out at the same energies. For both types of interactions, the corresponding projectile and target participants beside the corresponding binary collisions have been calculated for the same energies. Then the averages of these quantities have been obtained. These averages have been used in the calculations of the corresponding average multiplicity of the shower particles (s-particles) in the case of the 16O–Em interaction. The agreement between the calculated total reaction cross sections and the corresponding experimental data is quite good. Also, a good agreement between the calculated average multiplicities of the shower particles and the corresponding experimental data has been obtained.PACS Nos.: 24.10.Cn, 24.10.Ht, 25.60.Dz

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 Nuclear structure and reaction properties of Ne, Mg and Si isotopes with RMF densities

2014 ◽  
Vol 29 (04) ◽  
pp. 1450013 ◽  
Author(s):  
R. N. Panda ◽  
Mahesh K. Sharma ◽  
S. K. Patra
Keyword(s):  
Nuclear Structure ◽  
Cross Section ◽  
Reaction Cross Section ◽  
Mean Field ◽  
Reaction Cross ◽  
Glauber Model ◽  
Total Reaction Cross Section ◽  
Total Reaction ◽  
Relativistic Mean Field ◽  
Si Isotopes

We have studied nuclear structure and reaction properties of Ne , Mg and Si isotopes, using relativistic mean field (RMF) densities, in the framework of Glauber model. Total reaction cross-section σR for Ne isotopes on 12 C target have been calculated at incident energy 240 MeV. The results are compared with the experimental data and with the recent theoretical study [W. Horiuchi et al., Phys. Rev. C 86, 024614 (2012)]. Study of σR using deformed densities have shown a good agreement with the data. We have also predicted total reaction cross-section σR for Ne , Mg and Si isotopes as projectiles and 12 C as target at different incident energies.

NUCLEAR REACTION CROSS-SECTION FOR DRIP-LINE NUCLEI IN THE FRAMEWORK OF GLAUBER MODEL USING RELATIVISTIC AND NONRELATIVISTIC DENSITIES

2013 ◽  
Vol 22 (01) ◽  
pp. 1350005 ◽  
Author(s):  
MAHESH K. SHARMA ◽  
M. S. MEHTA ◽  
S. K. PATRA
Keyword(s):  
Experimental Data ◽  
Nuclear Reaction ◽  
Cross Section ◽  
Cross Sections ◽  
Reaction Cross Section ◽  
Mass Region ◽  
Reaction Cross ◽  
Drip Line ◽  
Glauber Model ◽  
Reaction Cross Sections

We study the nuclear reaction cross-sections for some of the neutron-rich nuclei in the lighter mass region of the periodic chart which are recently measured. The well-known Glauber formalism is used by taking deformed relativistic and nonrelativistic densities as input in the calculations. We find reasonable reaction cross-sections with both the densities. However with a better inspection of the results, it is noticed that the results obtained with relativistic densities are more closure to the experimental data than the nonrelativistic Skyrme densities.

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.

The mass-number dependence studies for the multiplicity of shower particles produced in interactions of different projectiles with emulsion nuclei at 3.7 GeV/n in the framework of the modified Glauber models I and II

2009 ◽  
Vol 87 (8) ◽  
pp. 945-956 ◽  
Author(s):  
M. S.M. Nour El-Din ◽  
M. E. Solite
Keyword(s):  
Experimental Data ◽  
Cross Sections ◽  
Theoretical Calculations ◽  
Reaction Cross ◽  
Total Reaction ◽  
Binary Collisions ◽  
Zero Range ◽  
Reaction Cross Sections ◽  
Better Than ◽  
Good Agreement

In the present work, we calculate the total reaction cross sections for the reactions of the following projectiles: P, 12C, 14N, 16O, 22Ne, 24Mg, 28Si, and 32S with emulsion nuclei, at incident energy ELab = 3.7 GeV/n, in the framework of the modified Glauber models I and II (Gl-I and Gl-II approaches). At the same time the number of interacted nucleons from these projectiles and the emulsion target nuclei beside the number of their binary collisions are calculated. Also the multiplicity of the shower particles produced in these reactions are calculated. A comparison between the calculated values of these total reaction cross sections and their multiplicities of the produced shower particles in these reactions, with the corresponding measured values, had been done within both: Gl-I and Gl-II approaches and in accordance to the zero-range considerations. As a result of this comparison we have not obtained an agreement between the calculated values and the corresponding experimental data in case of the total reaction cross sections, but we have got, in general, a good agreement for the comparison in the case of the particle multiplicities calculations. It should be noted, for the last comparison, that the theoretical calculations in the framework of Gl-II approach give, in general, agreement with the corresponding experimental data better than those we have obtained for the theoretical calculations in the framework of the Gl-I approach.

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.

Skyrme–Hartree–Fock–Bogoliubov Calculations of Even and Odd Neutron-Rich Mg Isotopes

2021 ◽  
Vol 66 (11) ◽  
pp. 928
Author(s):  
A.H. Taqi ◽  
M.A. Hasan
Keyword(s):  
Experimental Data ◽  
Mean Field ◽  
Field Method ◽  
Hartree Fock ◽  
Relativistic Mean Field ◽  
Nuclear Models ◽  
Quadrupole Deformation Parameter ◽  
Mg Isotopes ◽  
The One ◽  
Rmf Model

Using the Skyrme functional with SIII, SKM*, SLy4, and UNE0 sets of parameters and the Hartree–Fock–Bogoliubov mean-field method; the ground-state properties of even-even and even-odd neutron-rich Mg isotopes have been investigated. The results of calculations of the binding energy per nucleon (B/A), the one- and two-neutron separation energies (Sn and S2n), proton and neutron rms radii, neutron pairing gap, and quadrupole deformation parameter (B2) have been compared with the available experimental data, the results of Hartree–Fock–Bogoliubov calculations based on the D1S Gogny force, and predictions of some nuclear models such as the Finite Range Droplet Model (FRDM) and Relativistic Mean-Field (RMF) model. Our results show good agreements in comparison with the experimental data and the results of the mentioned models.

Analysis of fusion cross-sections of 6He, 8He and 11Li halo nuclei by using temperature-independent and temperature-dependent potentials

2019 ◽  
Vol 35 (04) ◽  
pp. 2050005
Author(s):  
M. Aygun
Keyword(s):  
Experimental Data ◽  
Cross Sections ◽  
Nuclear Physics ◽  
Halo Nuclei ◽  
Fusion Reactions ◽  
Temperature Dependent ◽  
Dependent Potential ◽  
Theoretical Results ◽  
Good Agreement

Analysis of the fusion reactions of halo nuclei is one of the important subjects of nuclear physics. In addition, temperature-dependent analysis of fusion cross-sections of these nuclei is a deficient topic in the literature. In order to overcome this deficiency, the fusion cross-sections of 6He, 8He and [Formula: see text]Li which are the most important halo nuclei are analyzed by using both temperature-independent potential and temperature-dependent potential. All the theoretical results are compared with each other as well as the experimental data. It is seen that the results of temperature-independent potential are in good agreement with the data while the temperature-dependent potential has a significant impact on the fusion cross-sections. Finally, the changes with the temperature of both real and nuclear potentials of all the reactions are investigated.

Sign in / Sign up

Export Citation Format

Share Document