MICROSCOPIC POTENTIAL DESCRIPTION OF THE ELASTIC SCATTERING AND FUSION CROSS-SECTION DATA OF THE 12C+24Mg SYSTEM

2006 ◽  
Vol 15 (06) ◽  
pp. 1317-1332 ◽  
Author(s):  
M. KARAKOC ◽  
I. BOZTOSUN
Keyword(s):  
Elastic Scattering ◽  
Cross Section ◽  
Fusion Cross Section ◽  
Nucleon Nucleon ◽  
Angular Distributions ◽  
Cross Section Data ◽  
Section Data ◽  
Coupled Channels ◽  
Double Folding ◽  
Detailed Application

This paper comprises the first detailed application of the microscopic potentials for a simultaneous analysis of the elastic scattering and fusion cross-section data of the 12 C+ 24Mg system from 16.0 MeV to 24.0 MeV. We use the microscopic nucleon-nucleon double folding and α-α double folding cluster potentials within the framework of the optical model and coupled-channels formalism. We compare our microscopic potential results with the findings of the phenomenological deep and shallow potentials. All potentials provide a very good agreement with the experimental data for the elastic scattering angular distributions. However, only deep phenomenological, the microscopic nucleon-nucleon and α-α double folding cluster potentials provide a consistent description of the angular distributions and fusion cross-section data simultaneously.

scholarly journals Analysis of the fusion cross sections for 16,18,20O + 12C systems at low energies

2019 ◽  
Vol 97 (7) ◽  
pp. 803-807 ◽  
Author(s):  
G. Kocak
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Optical Model ◽  
Fusion Cross Section ◽  
Nucleon Nucleon ◽  
Cross Section Data ◽  
Section Data ◽  
Low Energies ◽  
Double Folding ◽  
Good Agreement

Fusion cross section data for the 16,18,20O + 12C systems at energies near and below the Coulomb barrier are studied within the framework of the optical model. To examine these reactions, the microscopic nucleon–nucleon double folding potentials for real and imaginary parts are found. To make a comprehensive analysis of the effect of neutron-rich systems, we used three different reactions from stable to unstable systems. The microscopic nucleon–nucleon double folding potentials show very good agreement for 16,18,20O + 12C systems with a very weak imaginary potential. Also, we have obtained better agreement by using fully microscopic nucleon–nucleon double folding potentials with the 20O + 12C system’s experimental data than in previous works, but especially at low energies we still have some problems reproducing the 20O + 12C system’s fusion cross section data.

Adiabatic and coupled channels calculations for near barrier fusion of 16O +238U using realistic nucleon–nucleon interaction

2016 ◽  
Vol 25 (04) ◽  
pp. 1650026 ◽  
Author(s):  
M. Ismail ◽  
W. M. Seif ◽  
M. M. Botros
Keyword(s):  
Cross Section ◽  
Degrees Of Freedom ◽  
Fusion Cross Section ◽  
Nucleon Nucleon ◽  
Distribution Profile ◽  
Fusion Barrier ◽  
Coupled Channels ◽  
Barrier Distribution ◽  
Fusion Barrier Distribution ◽  
Double Folding

We investigate the fusion cross-section and the fusion barrier distribution of [Formula: see text]O[Formula: see text]U at near- and sub-barrier energies. We use an interaction potential generated by the semi-microscopic double folding model-based on density dependent (DD) form of the realistic Michigan-three-Yukawa (M3Y) Reid nucleon–nucleon (NN) interaction. We studied the role of both the static and dynamic deformations of the target nucleus on the fusion process. Rotational and vibrational degrees of freedom of [Formula: see text]U-nucleus are considered. We found that the deformation and the octupole vibrations in [Formula: see text]U enhance its sub-barrier fusion cross-section. The signature of the the octupole vibrational modes of [Formula: see text]U appears clearly in its fusion barrier distribution profile.

EXTENDED OPTICAL MODEL ANALYSES FOR 9Be + 144Sm SYSTEM NEAR COULOMB BARRIER ENERGIES

2011 ◽  
Vol 26 (05) ◽  
pp. 325-336 ◽  
Author(s):  
W. Y. SO ◽  
K. S. KIM
Keyword(s):  
Elastic Scattering ◽  
Cross Section ◽  
Cross Sections ◽  
Coulomb Barrier ◽  
Optical Model ◽  
Fusion Cross Section ◽  
Reaction Cross ◽  
Direct Reaction ◽  
Cross Section Data ◽  
Section Data

Within the framework of an extended optical model, we study elastic scattering and fusion cross section data for 9 Be + 144 Sm system near Coulomb barrier energies to determine the polarization potential decomposed into direct reaction and fusion parts. We show that the direct reaction and fusion potentials extracted from χ2 analyses separately satisfy the dispersion relation and that the threshold anomaly exhibits in the fusion part. The analyses using only elastic scattering and fusion data can furnish very consistent and reliable predictions of cross sections even though the direct reaction cross section data are not enough. From these analyses, we also obtain the semi-experimental α single and α–α coincidence cross sections, [Formula: see text] and [Formula: see text], for 9 Be + 144 Sm system.

DIFFERENTIAL OPERATORS FOR SCATTERING AMPLITUDES

2007 ◽  
Vol 16 (09) ◽  
pp. 2910-2914
Author(s):  
MÁRCIO JOSÉ MENON ◽  
REGINA FONSECA ÁVILA
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitudes ◽  
Cross Section ◽  
Differential Form ◽  
Differential Operators ◽  
Dispersion Relations ◽  
Proton Scattering ◽  
Cross Section Data ◽  
Proton Proton ◽  
Section Data

We discuss novel dispersion relations in differential form, connecting real and imaginary parts of elastic scattering amplitudes and formally valid at any energy above the physical threshold. By means of fits to total cross section data from proton-proton and antiproton-proton scattering, we evaluate the corresponding ratio ρ between the real and imaginary parts of the forward amplitudes. We show that the results are exactly the same as those obtained through standard integral dispersion relations.

AN INVESTIGATION OF THE 16O+16O ELASTIC SCATTERING BY USING ALPHA–ALPHA DOUBLE FOLDING POTENTIAL IN OPTICAL MODEL FORMALISM

2006 ◽  
Vol 21 (29) ◽  
pp. 2217-2232 ◽  
Author(s):  
M. E. KURKCUOGLU ◽  
H. AYTEKIN ◽  
I. BOZTOSUN
Keyword(s):  
Elastic Scattering ◽  
Optical Model ◽  
Nucleon Nucleon ◽  
Scattering Data ◽  
Angular Distributions ◽  
Folding Potential ◽  
Potential Part ◽  
Double Folding ◽  
Model Formalism ◽  
Double Folding Potential

In this paper, a simultaneous analysis of the elastic scattering data of the 16 O +16 O system for the energy range 5–10 MeV/nucleon is performed theoretically within the framework of the optical model formalism, by using the α–α double folding cluster potential. The α–α double folding cluster potential is evaluated by using the α-cluster distribution densities in the usual nucleon–nucleon double folding process with an effective α–α interaction potential. The results of the α–α double folding cluster potential analysis are compared with the findings of the phenomenological Woods–Saxon squared and nucleon–nucleon double folding potentials. All potentials have exhibited a very good agreement with the experimental measurements for the elastic scattering angular distributions. Furthermore, it is shown that, the α–α double folding cluster potential and nucleon–nucleon double folding potential calculations provide very consistent results with each other. Thus, the 16 O+ 16 O system has been described by optical potentials having a deep real potential part and a weak absorptive imaginary potential part.

Nucleon - nucleon scattering near 50 MeV. III. Analysis of new Davisnpdifferential cross-section data

1974 ◽  
Vol 10 (1) ◽  
pp. 72-77 ◽  
Author(s):  
Ronald Bryan ◽  
Judith Binstock
Keyword(s):  
Cross Section ◽  
Nucleon Nucleon ◽  
Cross Section Data ◽  
Nucleon Scattering ◽  
Section Data
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