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

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.

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.

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.

TOTAL REACTION CROSS SECTIONS FOR 100-MeV ALPHA PARTICLES USING SEMI-PENOMENOLOGICAL NUCLEON DENSITY DISTRIBUTION

2001 ◽  
Vol 10 (02) ◽  
pp. 99-105 ◽  
Author(s):  
I. AHMAD ◽  
J. H. MADANI
Keyword(s):  
Density Distribution ◽  
Cross Sections ◽  
Theoretical Study ◽  
Reaction Cross ◽  
Alpha Particles ◽  
Glauber Model ◽  
Nucleon Density ◽  
Total Reaction ◽  
Observed Behaviour ◽  
Reaction Cross Sections

Theoretical study of α total reaction cross-sections for 50 Ti , 52 Cr , 54,58 Fe , and 58,64 Ni nuclei at 100 MeV is presented. Working within the framework of Coulomb modified Glauber model, we calculate α reaction cross-sections in terms of the phenomenological N-α amplitude using the semi-phenomenological nucleon density distribution proposed by Gambhir and Patil [Z. Phys.A324 (1986) 9]. We find that the semi-phenomenological density reproduces the observed behaviour of the reaction cross-sections for the isotopes and isotones quite satisfactorily.

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.

scholarly journals Reaction Cross Section of Heavy Projectiles Using Coulomb Modified Glauber Model

2019 ◽  
Vol 201 ◽  
pp. 03001
Author(s):  
N. Marimuthu ◽  
V. Singh ◽  
S. S. R. Inbanathan
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Reaction Cross Section ◽  
Nuclear Emulsion ◽  
Reaction Cross ◽  
Inelastic Collisions ◽  
Medium Effect ◽  
Glauber Model ◽  
Reaction Cross Sections ◽  
Calculated Average

We investigated reaction cross section and inelastic collisions of the wide number of projectile and target nuclei using the Coulomb Modified Glauber Model (CMGM). The total reaction cross sections were calculated with and without accounting for in-medium effect for various heavy projectiles such as 56Fe26, 84Kr36, 132Xe54, 197Au79 and 238U92 that interact with Nuclear Emulsion Detector’s (NED) nuclei at incident energies at around 1 GeV/n. The calculated average values of reaction cross section are compared with the corresponding experimental data.

MASS DEPENDENCE OF p-NUCLEUS TOTAL REACTION CROSS SECTION AND GAMBHIR–PATIL NUCLEON DENSITY DISTRIBUTION

2002 ◽  
Vol 11 (06) ◽  
pp. 475-482 ◽  
Author(s):  
JAMAL H. MADANI
Keyword(s):  
Density Distribution ◽  
Cross Sections ◽  
Reaction Cross ◽  
Glauber Model ◽  
Total Reaction Cross Section ◽  
Satisfactory Description ◽  
Nucleon Density ◽  
Total Reaction ◽  
Mev Protons ◽  
Reaction Cross Sections

Total reaction cross sections for 50 and 100 MeV protons have been calculated for several nuclei using Gambhir–Patil semi-phenomenological nucleon density in the Coulomb modified Glauber model. It is shown that the semi-phenomenological nucleon density distribution provides quite satisfactory description of the observed A-dependence of the proton reaction cross sections.

scholarly journals 7Be and 8B reaction dynamics at Coulomb barrier energies

2018 ◽  
Vol 184 ◽  
pp. 02015
Author(s):  
E. Strano ◽  
M. Mazzocco ◽  
A. Boiano ◽  
C. Boiano ◽  
M. La Commara ◽  
...  
Keyword(s):  
Cross Sections ◽  
Coulomb Barrier ◽  
Reaction Cross Section ◽  
Optical Model ◽  
Reaction Dynamics ◽  
Reaction Cross ◽  
Total Reaction Cross Section ◽  
Weakly Bound ◽  
Total Reaction ◽  
Reaction Cross Sections

We investigated the reaction dynamics induced by the 7Be,8B+208Pb collisions at energies around the Coulomb barrier. Charged particles originated by both the col- lisions were detected by means of 6 ΔE-Eres telescopes of a newly developed detector array. Experimental data were analysed within the framework of the Optical Model and the total reaction cross-sections were compared together and with the 6,7Li+208Pb colli-sion data. According to the preliminary results, 7Be nucleus reactivity is rather similar to the 7Li one whereas the 8B+208Pb total reaction cross section appears to be much larger than those measured for reactions induced by the other weakly-bound projectiles on the same target.

7,9,10Be elastic scattering and total reaction cross sections on a12C target

2011 ◽  
Vol 84 (3) ◽  
Author(s):  
J. C. Zamora ◽  
V. Guimarães ◽  
A. Barioni ◽  
A. Lépine-Szily ◽  
R. Lichtenthäler ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Cross Sections ◽  
Reaction Cross ◽  
Total Reaction ◽  
Reaction Cross Sections
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