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.

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.

MICROSCOPIC STUDY OF THE EFFECT OF HEXADECAPOLE DEFORMATION ON BOTH FUSION CROSS-SECTION AND BARRIER DISTRIBUTION

2000 ◽  
Vol 15 (38n39) ◽  
pp. 2315-2326 ◽  
Author(s):  
M. ISMAIL ◽  
A. SH. GHAZAL
Keyword(s):  
Cross Section ◽  
Fusion Cross Section ◽  
Heavy Ion ◽  
Nucleon Nucleon ◽  
Finite Range ◽  
Zero Range ◽  
Barrier Distribution ◽  
Nucleon Nucleon Interaction ◽  
The Difference ◽  
Double Folding

The interaction potential for deformed-spherical nuclear pair is derived microscopically in the framework of double folding model with M3Y-Paris nucleon–nucleon interaction. The heavy target nucleus 238 U together with the light projectile nucleus 16 O are considered as an example. The exchange part of the heavy ion (HI) potential has been calculated using finite-range exchange NN force instead of the zero-range pseudoforce. Neutron thickness and the difference in kinetic energy densities between neutrons and protons have been taken into consideration in calculating the exchange HI potential. For this pair the fusion cross-section as well as the barrier distribution are calculated. These calculations have been done using three different values of hexadecapole deformation parameter of 238 U . The effect of using both the finite-range exchange NN force and the hexadecapole deformation on the fusion cross-section and the barrier distribution have been discussed.

Systematic study on the isotopic behavior of fusion barrier using the density-dependent nucleon–nucleon interactions

2018 ◽  
Vol 27 (02) ◽  
pp. 1850016
Author(s):  
O. N. Ghodsi ◽  
M. Khalaj
Keyword(s):  
Nuclear Matter ◽  
Fusion Cross Section ◽  
Heavy Ion ◽  
Nucleon Nucleon ◽  
Density Dependent ◽  
Fusion Barrier ◽  
Barrier Heights ◽  
Linear Behavior ◽  
Isotopic Studies ◽  
Double Folding

By changing the neutron and nuclear matter incompressibility constant [Formula: see text], we investigate the isotopic behavior of the fusion barriers for the collision of large number of different isotopes with condition of [Formula: see text]. Here, the double folding (DF) model which is accompanied by density-dependent (DD) versions of M3Y interactions is adopted as a basic heavy ion–ion potential. We show that the selected DD potentials predict a linear behavior for the calculated fusion barrier heights as a function of [Formula: see text] for both proton- and neutron-rich systems. Moreover, the results indicate that the isotopic behavior of these values depend linearly on the change in the [Formula: see text] constant. The isotopic studies conducted on the fusion cross-section also shows that the properties of the nuclear matter in the range of energy which is below the fusion barrier will quite affect the fusion process.

Influence of the deformation and orientation on the interaction potential of the 28Si+28Si system and its fusion process

2019 ◽  
Vol 28 (01n02) ◽  
pp. 1950009
Author(s):  
W. M. Seif ◽  
M. Ismail ◽  
I. A. M. Abdul-Magead ◽  
F. A. Fareed
Keyword(s):  
Cross Section ◽  
Interaction Potential ◽  
Coulomb Barrier ◽  
Fusion Cross Section ◽  
Nucleon Nucleon ◽  
Mass Separation ◽  
Fusion Process ◽  
Orientation Behavior ◽  
Deformed Nuclei ◽  
Double Folding

We investigated the orientation behavior of the interaction potential between highly-deformed oblate [Formula: see text]Si nuclei and its influences on the fusion process. The deformed–deformed potential is calculated using the double-folding model based on the realistic M3Y-Reid nucleon–nucleon interaction. We found that the Coulomb barrier parameters and the sub-barrier fusion data strongly depend on the polar orientation angles of the involved deformed nuclei, with a rather less dependence on the azimuthal angles. For interacting oblate nuclei, the elongated configuration corresponding to the lowest Coulomb barrier is obtained at orthogonal polar orientations, while the hexadecapole deformation determines the compact configuration obtained at nonzero polar orientations. The orientation behavior of the Coulomb barrier radius (height and curvature) consistently follow (inversely reflex) the orientation variation of the sum of the half-density radii of the two deformed nuclei, along their centers-of-mass separation vector. The deformations of the colliding nuclei increase their fusion cross-section at sub- and around-barrier energies. The calculations based on the parabolic barrier approximation overestimate the sub-barrier cross-section. The coupled channels calculations with couplings up to the 2[Formula: see text] and 4[Formula: see text] excitation states of [Formula: see text]Si nuclei are needed to reproduce the [Formula: see text] fusion cross-section, and the corresponding logarithmic slope and barrier distribution, over the full energy region.

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.

scholarly journals Investigation of the Calculation of Coupled Channels for Some Halo Systems

2020 ◽  
Vol 65 (11) ◽  
pp. 951
Author(s):  
F.M. Hussain ◽  
F.A. Majeed ◽  
M.H. Meteab
Keyword(s):  
Coulomb Barrier ◽  
Fusion Reaction ◽  
Fusion Cross Section ◽  
Measured Data ◽  
Elastic Channel ◽  
Coupled Channels ◽  
Breakup Channel ◽  
Fusion Probability ◽  
Barrier Distribution ◽  
Fusion Barrier Distribution

The fusion reaction for systems involving halo nuclei are investigated by two- and multicoupled channel calculations for the systems 8B+58Ni, 11Be+209Bi, and 15C+232Th. The effect of coupling between the breakup channel and the elastic channel have been considered using the Continuum Discretized Coupled Channels (CDCC) method in full quantum and semiclassical approaches. The calculation of the fusion cross-section qfus (mb), fusion barrier distribution Dfus (mb/MeV) and fusion probability Pfus reproduces the measured data for the systems under study quite well above and below the Coulomb barrier VB. In the case of two-channel coupling both in semiclassical and quantum mechanical approaches, the measured data above the Coulomb barrier VB are overestimated.

scholarly journals Coupled channels calculations of fusion reactions for 46Ti+64Ni, 40Ca+194Pt and 40Ar+148Sm systems

2020 ◽  
Vol 18 (47) ◽  
pp. 84-90
Author(s):  
Hayder Jasim Musa ◽  
Fouad A. Majeed ◽  
Ali T. Mohi
Keyword(s):  
Experimental Data ◽  
Fusion Cross Section ◽  
Quantum Calculations ◽  
Fusion Reactions ◽  
Coupled Channels ◽  
Barrier Distribution ◽  
Mechanical Approach ◽  
Fusion Barrier Distribution ◽  
Quantum Mechanical Approach ◽  
Coupled Channel

In this work, the fusion cross section ,  fusion barrier distribution  and the probability of fusion  have been investigated by coupled channel method  for the systems 46Ti+64Ni, 40Ca+194Pt and 40Ar+148Sm with semi-classical and quantum mechanical approach using SCF and CCFULL Fortran codes respectively. The results for these calculations are compared with available experimental data. The results show that the quantum calculations agree better with experimental data, especially bellow the Coulomb barrier, for the studied systems while above this barrier, the two codes reproduce the data.

Fusion and Breakup Reactions of 17S + 208Pb and 15C + 232ThHalo Nuclei Systems

2015 ◽  
Vol 11 (2) ◽  
pp. 2972-2978
Author(s):  
Fouad A. Majeed ◽  
Yousif A. Abdul-Hussien
Keyword(s):  
Experimental Data ◽  
Cross Section ◽  
Fusion Reaction ◽  
Fusion Cross Section ◽  
Reaction Cross ◽  
Recent Experimental Data ◽  
Barrier Distribution ◽  
Coupled Channel ◽  
Total Fusion ◽  
Full Quantum

In this study the calculations of the total fusion reaction cross section have been performed for fusion reaction systems 17F + 208Pb and 15C + 232Th which involving halo nuclei by using a semiclassical approach.The semiclassical treatment is comprising the WKB approximation to describe the relative motion between target and projectile nuclei, and Continuum Discretized Coupled Channel (CDCC) method to describe the intrinsic motion for both target and projectile nuclei. For the same of comparsion a full quantum mechanical clacualtions have been preforemd using the (CCFULL) code. Our theorticalrestuls are compared with the full quantum mechaincialcalcuations and with the recent experimental data for the total fusion reaction  checking the stability of the distancesThe coupled channel calculations of the total fusion cross section σfus, and the fusion barrier distribution Dfus. The comparsion with experiment proves that the semiclassiacl approach adopted in the present work reproduce the experimental data better that the full quantal mechanical calcautions. 

IMPORTANCE OF DEFORMATION AND ORIENTATION OF NUCLEAR SHAPES FOR THE SYNTHESIS OF SUPER-HEAVY ELEMENTS

2004 ◽  
Vol 13 (01) ◽  
pp. 361-366 ◽  
Author(s):  
M. KOWAL ◽  
Z. ŁOJEWSKI
Keyword(s):  
Potential Energy ◽  
Cross Section ◽  
Heavy Ion Collisions ◽  
Fusion Cross Section ◽  
Heavy Ion ◽  
Heavy Elements ◽  
Axially Symmetric ◽  
Deformation Degree ◽  
Fusion Barrier ◽  
Ion Collisions

We are studying the potential energy describing the entrance channel of a heavy-ion collisions for the axially symmetric deformed and arbitrarily oriented nuclear shapes. The paper presents an analysis of the influence of different orientations of the deformed ions on the height and shape of the fusion barrier. The net effect of the deformation degree of freedom on the transmission at sub-barrier energies is to enhance the fusion cross section. This problem is very important especially in the perspective of the synthesis of super-heavy elements.

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