The first-order optical potential evaluation for the elastic scattering of neutron on the bound system using the impulse approximation method

2019 ◽  
Vol 28 (10) ◽  
pp. 1950091 ◽  
Author(s):  
M. Abusini
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Neutron Energy ◽  
Optical Potential ◽  
Order Term ◽  
Scattering Problem ◽  
Impulse Approximation ◽  
Incident Neutron ◽  
First Order ◽  
The Spectator

The method of impulse approximation is used to check the validity of the first-order optical potential for the elastic scattering problem of the neutron on the bound system, namely, [Formula: see text] and [Formula: see text]at incident neutron energies of 155 and 225[Formula: see text]MeV. The optical potential is derived as the first-order term within the spectator expansion of a nonrelativistic multiple scattering terms using the Lippmann–Schwinger equation. The Modern realistic two-body potential ArgonneV18 in the momentum space was used as input in the Lippmann–Schwinger equation. The obtained results for the elastic differential cross-sections are in a good agreement with the experimental data taken from EXFOR Database for all studied targets at neutron energy above 200[Formula: see text]MeV. As the neutron energy decreases down to approximately 155[Formula: see text]MeV, the discrepancies with experimental data appear, which is in accordance with the impulse approximation formalism.

scholarly journals The refractive scattering of 17F+12C

2020 ◽  
Vol 239 ◽  
pp. 03010
Author(s):  
Liyuan Hu ◽  
Yushou Song ◽  
Yingwei Hou ◽  
Huilan Liu
Keyword(s):  
Experimental Data ◽  
Angular Distribution ◽  
Elastic Scattering ◽  
Optical Potential ◽  
Optical Model ◽  
Channel Calculation ◽  
Coupled Channels ◽  
The One ◽  
Nuclear Rainbow ◽  
The Continuum

The experimental data of the elastic scattering angular distribution of 17F+12C at 170 MeV is analyzed by the continuum-discretized coupled channels (CDCC) method and the optical model (OM). In the CDCC calculation, the unambiguous optical potential of 16O+12C is used as the input to give the coupling potentials. A very refractive feature is found and two evident Airy minima are predicted at large angles. The one-channel calculation is also performed and gives nearly the same result. In the OM calculations, this optical potential of 16O+12C is used again and adjusted to reproduce the angular distribution of 17F+12C. The Airy oscillation appears again in the calculated angular distribution. These results indicate that the elastic scattering of 17F+12C at 170 MeV has the possibility of the nuclear rainbow phenomenon, which is probably due to the contribution from the 16O core.

scholarly journals Differential and integral cross sections for electron elastic scattering by ammonia for incident energies ranging from 10 eV to 20 keV

2018 ◽  
Vol 64 (5) ◽  
pp. 498
Author(s):  
Hocine Aouchiche
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Cross Sections ◽  
Optical Potential ◽  
Large Set ◽  
Quantum Calculation ◽  
Hartree Fock ◽  
Spherical Complex ◽  
Static Part ◽  
Model Point

Differential and integral cross sections for elastic scattering of electron by NH3 molecule are investigated for the energy ranging from 10 eV to 20 keV.  The calculations are carried out in the framework of partial wave formalism describing the target molecule by means of one center molecular Hartree-Fock functions.  A spherical complex optical potential used includes a static part – obtained here numerically from quantum calculation – and fine effects like correlation, polarization and exchange potentials. The results obtained in this model point out clearly the role played by the exchange and the correlation-polarization contributions in particular at lower scattering angles and lower incident energies. Both differential and integral cross sections obtained are compared with a large set of experimental data available in the literature and well agreement is found throughout the scattering angles and whole energy range investigated here.

RELATIVISTIC OPTICAL MODEL FOR PROTON-NUCLEUS ELASTIC SCATTERING

2002 ◽  
Vol 11 (05) ◽  
pp. 425-436 ◽  
Author(s):  
M. Y. H. FARAG ◽  
M. Y. M. HASSAN
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Cross Sections ◽  
Differential Cross ◽  
Optical Potential ◽  
Optical Model ◽  
Potential Model ◽  
Optical Potential Model ◽  
Relativistic Description ◽  
Good Agreement

The relativistic description of the proton-nucleus elastic scattering can be considered within the framework of a relativistic optical potential model. The elastic scattering of proton with the nuclei 12 C , 16 O , 20 Ne , and 24 Mg at 800 MeV and 1.04 GeV are studied for relativistic and nonrelativistic treatments. The real optical potentials and the differential cross sections of these reactions are calculated. The obtained results are compared with the corresponding results obtained from the calculation depending on the Woods–Saxon optical potential which were adjusted to fit the experimental data. The present results are in good agreement with the experimental data.

scholarly journals Comparative analysis of proximity potentials to describe scattering of 13C projectile off 12C, 16O, 28Si and 208Pb nuclei

2018 ◽  
Vol 64 (2) ◽  
pp. 149 ◽  
Author(s):  
M. Aygun
Keyword(s):  
Experimental Data ◽  
Comparative Analysis ◽  
Elastic Scattering ◽  
Cross Sections ◽  
Optical Potential ◽  
Saxon Potential ◽  
208Pb Target ◽  
Scattering Cross Sections ◽  
First Time ◽  
Theoretical Results

In this work, we examine the elastic scattering cross sections of 13C on 12C, 16O, 28Si and 208Pb target nuclei at different incident energies. For the first time, we apply six types of proximity potentials such as Broglia andWinther 1991 (BW 91), AageWinther (AW95), Christensen and Winther 1976 (CW 76), Bass 1973 (Bass 73), Bass 1977 (Bass 77) and Bass 1980 (Bass 80) in order to obtain the real part of the optical potential. The imaginary part is taken as the Woods-Saxon potential. Theoretical results are compared with each other as well as the experimental data.

scholarly journals The Fixed Angle Scattering Problem with a First-Order Perturbation

2021 ◽  
Author(s):  
Cristóbal J. Meroño ◽  
Leyter Potenciano-Machado ◽  
Mikko Salo
Keyword(s):  
Order Term ◽  
Scattering Problem ◽  
Plane Waves ◽  
Inverse Scattering Problem ◽  
Carleman Estimates ◽  
Related Equation ◽  
Fixed Angle ◽  
First Order ◽  
Angle Scattering ◽  
First Order Perturbation

AbstractWe study the inverse scattering problem of determining a magnetic field and electric potential from scattering measurements corresponding to finitely many plane waves. The main result shows that the coefficients are uniquely determined by 2n measurements up to a natural gauge. We also show that one can recover the full first-order term for a related equation having no gauge invariance, and that it is possible to reduce the number of measurements if the coefficients have certain symmetries. This work extends the fixed angle scattering results of Rakesh and Salo (SIAM J Math Anal 52(6):5467–5499, 2020) and (Inverse Probl 36(3):035005, 2020) to Hamiltonians with first-order perturbations, and it is based on wave equation methods and Carleman estimates.

PHASE-SHIFT ANALYSIS AND FIRST-ORDER EIKONAL CORRECTION TO OPTICAL POTENTIAL BY INVERSION FOR 16O+28SI ELASTIC SCATTERING AT Elab=1503 MEV

1999 ◽  
Vol 08 (04) ◽  
pp. 311-320 ◽  
Author(s):  
YONG JOO KIM ◽  
MOON HOE CHA
Keyword(s):  
Elastic Scattering ◽  
Phase Shift ◽  
Optical Potential ◽  
Elastic Cross Section ◽  
Phase Shift Analysis ◽  
First Order ◽  
Shift Analysis ◽  
S Matrix ◽  
Inversion Procedure ◽  
Optical Model Analysis

We analyze 16 O +28 Si elastic scattering at E lab =1503 MeV using a phase shift analysis based on McIntyre parametrization of S-matrix. The near- and far-side decompositions of elastic cross section have been also performed by following Fuller's formalism. By using the inversion procedure of McIntyre S-matrix, the optical potential is obtained and its result was compared with one of the optical model analysis. The first-order eikonal correction effect on the optical potential by inversion is discussed.

ELASTIC SCATTERING OF 28Si–27Al IN A REALISTIC OPTICAL POTENTIAL

1996 ◽  
Vol 05 (03) ◽  
pp. 533-541 ◽  
Author(s):  
M. RASHDAN
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Cross Section ◽  
Cross Sections ◽  
Differential Cross ◽  
Optical Potential ◽  
Realistic Model ◽  
Entire Energy Range ◽  
Entire Energy ◽  
Soft Core Potential

Within a realistic model for the optical potential between nuclei based on the solution of the Bethe-Goldstone equation with the Reid soft-core potential, the differential cross-sections of the 28 Si –27 Al system, recently measured at energies around the Coulomb barrier, are calculated. The experimental data are well-reproduced over the entire energy range without any adjustable parameters to fit the cross-section.

Elastic scattering of electrons by calcium atoms

2014 ◽  
Vol 92 (3) ◽  
pp. 206-215 ◽  
Author(s):  
Mahmudul Hasan ◽  
M. Alfaz Uddin ◽  
M. Ismail Hossain ◽  
A.K.F. Haque ◽  
A.K. Basak
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Cross Sections ◽  
Differential Cross ◽  
Optical Potential ◽  
Relativistic Dynamics ◽  
Strong Energy ◽  
Maximum Polarization ◽  
Better Than ◽  
Good Agreement

The differential, total, and momentum transfer cross sections along with the minima in the differential cross sections (DCSs) and the Sherman function S(θ) for the elastic scattering of electrons by calcium atoms have been calculated. These calculations are done within the framework of complex electron–atom optical potential and relativistic dynamics, in the energy range 1–2000 eV. The results obtained are in good agreement with the available experimental data and are better than the previous calculations in overall assessment. In the DCSs, the energies and angular positions of five critical minima have been confirmed. In the vicinity of these critical minima, nine maximum polarization points have been found within the range −0.90 ≤ S(θ) ≤ +0.73. Near the critical minima, a strong energy dependence of maximum polarization points is found.

scholarly journals Relativistic effect on atomic displacement damage for two-body inducing discrete reactions

2020 ◽  
Vol 239 ◽  
pp. 08004
Author(s):  
Shengli Chen ◽  
David Bernard ◽  
Cyrille De Saint Jean
Keyword(s):  
Elastic Scattering ◽  
Neutron Energy ◽  
Relativistic Effect ◽  
Relativistic Correction ◽  
Atomic Displacement ◽  
Recoil Energy ◽  
Incident Neutron ◽  
Incident Neutron Energy ◽  
Fusion Neutron ◽  
Atomic Recoil

The relativistic effect on two-body discrete reaction inducing atomic recoil energy and the sequent damage energy is studied for 6Li, 56Fe, 184W, and 238U. The relativistic correction is within 1% if incident neutron energy is below 20 MeV. For incident neutron energy up to 200 MeV or even 800 MeV, the relativistic effect should be taken into account for treating two-body kinematics. The relativistic correction is about 0.05Ein/MeV% for neutron elastic scattering for nuclei from 56Fe to 238U and smaller for (n,α) and (n,t) reactions. Analyses on damage energy show that the relativistic corrections are generally within 2% for incident neutron below 200 MeV for nuclei lighter than 56Fe because of the “saturation” of damage energy. However, the current damage theory cannot be applied for Primary Knock-on Atom (PKA) energy higher than 24.9ARZR4/3 keV, which is 10 times lower than the maximum PKA energy for D+T fusion neutron elastic scattering of 6Li.

ELASTIC SCATTERING AS A TEST OF DENSITY DISTRIBUTIONS IN 6He AND 8He

2002 ◽  
Vol 11 (03) ◽  
pp. 249-264 ◽  
Author(s):  
M. AVRIGEANU ◽  
G. S. ANAGNOSTATOS ◽  
A. N. ANTONOV ◽  
V. AVRIGEANU
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Imaginary Part ◽  
Optical Potential ◽  
Theoretical Calculations ◽  
Scattering Data ◽  
Angular Distributions ◽  
Helium Isotopes ◽  
Density Distributions ◽  
Good Agreement

Taking elastic scattering of 6,8 He on protons as an example, it is shown that the differences between density distributions coming from different models can be evaluated when scattering data of the nuclei involved are available for comparison. Microscopic elastic-scattering angular distributions have been calculated for incident energies <100A MeV by using the Tanihata and COSMA models for the density distributions of He nuclei, the M3Y-Paris effective NN interaction, and the Bray et al. imaginary part of the optical potential. The present microscopic angular distributions based on the Tanihata densities are in good agreement with the available experimental data and also similar to results of other theoretical calculations, showing the sensitivity of scattering to the density distributions of these helium isotopes.

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