scholarly journals Cross-sections at sub-Coulomb energies: Full optical model versus barrier transmission for 40Ca + α

2019 ◽  
Vol 28 (05) ◽  
pp. 1950029 ◽  
Author(s):  
Peter Mohr
Keyword(s):  
Cross Sections ◽  
Optical Model ◽  
Transmission Model ◽  
Nuclear Potential ◽  
Additional Absorption ◽  
Excitation Functions ◽  
Folding Potential ◽  
Low Energies ◽  
Model Versus ◽  
Double Folding

Cross-sections for [Formula: see text]Ca + [Formula: see text] at low energies have been calculated from two different models and three different [Formula: see text]-nucleus potentials. The first model determines the cross-sections from the barrier transmission in a real nuclear potential. Second, cross-sections are derived within the optical model (OM) using a complex nuclear potential. The excitation functions from barrier transmission are smooth, whereas the excitation functions from the OM show a significant sensitivity to the chosen imaginary potential. Cross-sections far below the Coulomb barrier are lower from barrier transmission than from the OM. This difference is explained by additional absorption in the tail of the imaginary part of the potential in the OM. At higher energies, the calculations from the two models and all [Formula: see text]-nucleus potentials converge. Finally, in contradiction to another recent study where a double-folding potential failed in a WKB calculation, the applicability of double-folding potentials for [Formula: see text]Ca + [Formula: see text] at low energies is clearly confirmed in the present analysis for the simple barrier transmission model and for the full OM calculation.

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.

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.

Application of JLM folding model to alpha-nucleus scattering

2006 ◽  
Vol 21 (31n33) ◽  
pp. 2439-2446
Author(s):  
T. Furumoto ◽  
Y. Sakuragi
Keyword(s):  
Elastic Scattering ◽  
Cross Sections ◽  
Matrix Theory ◽  
Effective Interaction ◽  
Nucleon Nucleon ◽  
Model Potential ◽  
Systematic Analysis ◽  
Folding Potential ◽  
Optical Model Potential ◽  
Double Folding

A systematic analysis of alpha(4 He )-nucleus elastic scattering is made by using a microscopic optical model potential obtained by the double folding of a complex nucleon-nucleon (NN) effective interaction based on the G-matrix theory. We adopt the so-called JLM interaction as the complex NN interaction and test its applicability to the 4 He elastic scattering by 12 C , 16 O , 28 Si and 40 Ca . The experimental cross sections for incident energies ranging from E Lab = 40 to 240 MeV are well reproduced by the double folding potential up to backward angles. Although modification of the real and imaginary potential strength by about 25% and 35%, respectively, in average is necessary to reproduce the data, the renormalization factors are found to be almost constant with respect to the incident energy and target mass number.

FUSION CROSS-SECTIONS FOR 35Cl+92Zr REACTION CALCULATED IN PROXIMITY AND DOUBLE-FOLDING MODELS

2012 ◽  
Vol 21 (02) ◽  
pp. 1250011 ◽  
Author(s):  
O. N. GHODSI ◽  
F. LARI
Keyword(s):  
Surface Energy ◽  
Cross Sections ◽  
Fusion Reaction ◽  
Nuclear Potential ◽  
Proximity Potential ◽  
Deformed Nuclei ◽  
Double Folding ◽  
Effect Of Surface

In this paper, the proximity formalism which has been recently generalized to calculate the nuclear potential in the fusion reaction of deformed nuclei, employed to study the 35 Cl +92 Zr system. We also employ different versions of surface energy coefficients and discuss the effect of surface energy coefficients in the proximity potential. Comparison between results of double-folding (DF) and proximity model (PM) are made.

scholarly journals Polarized-deuteron stripping reaction at intermediate energies

2016 ◽  
Vol 25 (11) ◽  
pp. 1650095
Author(s):  
Valery I. Kovalchuk
Keyword(s):  
Cross Sections ◽  
Deuteron Wave Function ◽  
Nucleon Nucleon ◽  
Folding Potential ◽  
Analyzing Powers ◽  
Intermediate Energies ◽  
The Cross ◽  
Deuteron Stripping ◽  
Double Folding ◽  
Analytical Expressions

A general analytical expressions for the cross-section and the polarization of nucleons arising in the inclusive deuteron stripping reaction have been derived in the diffraction approximation. The nucleon–nucleus phases were calculated in the framework of Glauber formalism and making use of the double-folding potential. The tabulated distributions of the target nucleus density and the realistic deuteron wave function with correct asymptotic at large nucleon–nucleon distances were used. The calculated angular dependences for the cross-sections and the analyzing powers of the [Formula: see text] reaction are compared with corresponding experimental data.

Investigation of the elastic and inelastic scattering of 3He from 9Be in the energy range 30–60MeV

2018 ◽  
Vol 27 (10) ◽  
pp. 1850089 ◽  
Author(s):  
D. M. Janseitov ◽  
S. M. Lukyanov ◽  
K. Mendibayev ◽  
Yu. E. Penionzhkevich ◽  
N. K. Skobelev ◽  
...  
Keyword(s):  
Excited State ◽  
Elastic Scattering ◽  
Inelastic Scattering ◽  
Excited States ◽  
Cross Sections ◽  
Optical Model ◽  
Theoretical Calculations ◽  
Deformation Parameters ◽  
Double Folding ◽  
Coupled Channel

We have measured the differential cross-sections for the elastic as well as inelastic scattering populating the 2.43[Formula: see text]MeV [Formula: see text] excited state in [Formula: see text] using [Formula: see text] beams at energies of 30, 40 and 47[Formula: see text]MeV on a [Formula: see text] target. The experimental results for the elastic scattering were analyzed within the framework of the optical model using the Woods–Saxon and double-folding potentials. The theoretical calculations for the concerned excited states were performed using the coupled-channel method. The optimal deformation parameters for the excited states of [Formula: see text] nucleus were extracted.

Reliability of the double-folding potential for fusion cross sections of light systems

2015 ◽  
Vol 91 (1) ◽  
Author(s):  
Azni Abdul Aziz ◽  
Norhasliza Yusof ◽  
Muhammad Zamrun Firihu ◽  
Hasan Abu Kassim
Keyword(s):  
Cross Sections ◽  
Folding Potential ◽  
Double Folding ◽  
Double Folding Potential

DOUBLE FOLDING ANALYSIS OF 6Li SCATTERING BY 12C, 40Ca, 90Zr AND 208Pb

2002 ◽  
Vol 11 (05) ◽  
pp. 437-444 ◽  
Author(s):  
N. A. El-NOHY ◽  
F. A. EL-AKKAD ◽  
A. M. ABDEL-MONEM ◽  
O. S. ABDEL-FATTAH
Keyword(s):  
Cross Sections ◽  
Optical Potential ◽  
Nucleon Nucleon ◽  
Folding Model ◽  
The Real ◽  
Folding Potential ◽  
Nucleon Nucleon Interaction ◽  
Experimental Values ◽  
Double Folding ◽  
Double Folding Potential

A double folding potential has been used to calculate the real part of optical potential of 6 Li scattering by 12 C , 40 Ca , 90 Zr and 208Pb. In this model the effective nucleon-nucleon interaction potential has been developed to include an energy and density dependent in a simple form. The real part of the optical potential calculated by the double folding model is then reduced to an equivalent Wood–Saxon form using a fitting program. The obtained Wood–Saxon potentials have been used to calculate the differential cross sections for elastic scattering of 6 Li nucleus by 12 C , 40 Ca , 90 Zr and 208 Pb . This method gives satisfactory agreement of the calculated differential scattering cross section with the corresponding experimental values.

Comparison between the elastic scattering of 12C(α,α)12C and 12C(6He, 6He)12C using different nuclear potentials

2020 ◽  
Vol 29 (10) ◽  
pp. 2050086
Author(s):  
Ahmed Hammad Amer ◽  
Yu. E. Penionzhkevich ◽  
Awad A. Ibraheem ◽  
Sh. Hamada
Keyword(s):  
Energy Range ◽  
Cross Sections ◽  
Optical Model ◽  
Reaction Cross ◽  
Angular Distributions ◽  
Nuclear System ◽  
Halo Structure ◽  
Double Folding ◽  
Potential Parameters ◽  
Reaction Cross Sections

The experimental angular distributions for [Formula: see text]-particles elastically scattered from [Formula: see text]C nucleus in the energy range 48.7–386[Formula: see text]MeV and for 6He+[Formula: see text]C nuclear system in the energy range 5.9–493.8[Formula: see text]MeV have been reanalyzed. Data analysis is performed within the framework of both optical model (OM) and double folding optical model (DFOM). In this model, the real part of the potential is generated using the double folding procedures based on the effective M3Y interaction between projectile nucleons and target nucleons in addition to an imaginary part of Woods–Saxon (WS) form. Two criteria are used in order to observe the nature of 4He and 6He elastically scattered from [Formula: see text]C and the effect of the two neutron halo structure of 6He. First, the extracted potential parameters are utilized for calculating the reflexion coefficients [Formula: see text] which is strongly related to angular momentum [Formula: see text]. Second, the reduction in reaction cross-sections with the projectile’s energy.

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