Strong absorption model with antisymmetric S-matrix

2018 ◽  
Vol 27 (08) ◽  
pp. 1850066
Author(s):  
Yu. A. Berezhnoy ◽  
A. S. Molev
Keyword(s):  
Elastic Scattering ◽  
Cross Sections ◽  
Scattering Amplitude ◽  
Intermediate Energy ◽  
Strong Absorption ◽  
Damping Factor ◽  
Absorption Model ◽  
Intermediate Energies ◽  
Fermi Function ◽  
Diffraction Patterns

We present a strong absorption model with an [Formula: see text]-matrix in a new form of an antisymmetrized Fermi distribution for describing diffraction patterns of neutron–nucleus scattering at intermediate energies. The proposed antisymmetric [Formula: see text]-matrix has a form close to the conventional one and allows to obtain exact analytical expressions for the damping factor that determines the elastic scattering amplitude and the total cross-sections for interaction, reactions and elastic scattering. The use of an antisymmetrized Fermi function instead of the usual Fermi function in successful strong absorption models basically does not notably affect the calculated nucleon–nucleus elastic scattering differential cross-sections in the intermediate energy region.

Charge exchange reactions on medium and heavy mass targets at intermediate energies

2019 ◽  
Vol 35 (08) ◽  
pp. 2050045
Author(s):  
Pardeep Singh ◽  
Monika Singh ◽  
Neha Rani
Keyword(s):  
Charge Exchange ◽  
Cross Sections ◽  
Energy Charge ◽  
Impulse Approximation ◽  
Mass Region ◽  
Intermediate Energy ◽  
Exchange Reactions ◽  
Plane Wave Impulse Approximation ◽  
Text Type ◽  
Intermediate Energies

The nuclear isotopic structure can be understood easily via the intermediate-energy charge exchange reactions of (p, n) and [Formula: see text]He, [Formula: see text] type. In the current contribution, we present some results for charge exchange reactions induced by 3He on targets lying in mass region [Formula: see text] within the theoretical framework of plane wave impulse approximation (PWIA) and distorted wave impulse approximation (DWIA). Here, the recoil effects in PWIA have also been considered. Particularly, the angular distributions and the unit cross-sections have been calculated and compared with the available data. Further, the importance of inclusion of the exchange contribution in these reactions is also considered, which eventually enhance the matching with data.

SCATTERING AND DISSOCIATION OF DEUTERONS AND 3H-NUCLEI BY NUCLEI AT INTERMEDIATE ENERGIES

1995 ◽  
Vol 04 (03) ◽  
pp. 563-586 ◽  
Author(s):  
YU. A. BEREZHNOY ◽  
V. YU. KORDA
Keyword(s):  
Elastic Scattering ◽  
Closed Form ◽  
Cross Sections ◽  
Differential Cross ◽  
Particle System ◽  
Center Of Mass ◽  
Scattering Angle ◽  
Intermediate Energies ◽  
Oscillating Functions ◽  
Analytical Expressions

We present a closed-form description that enables us to obtain the analytical expressions for the elastic scattering and dissociation differential cross-sections of deuterons and 3H-nuclei by heavy target nuclei. The resulting expressions are used to analyze the data for the 110 MeV deuterons elastically scattered on 208Pb-nuclei. The dissociation cross-sections of deuterons and 3H-nuclei are the oscillating functions of the scattering angle of the released two- and three-nucleon-particle system center-of-mass.

scholarly journals Study of cluster structures in nuclei through the ratio method

2020 ◽  
Vol 56 (12) ◽  
Author(s):  
Pierre Capel ◽  
Ronald C. Johnson ◽  
Filomena M. Nunes
Keyword(s):  
Elastic Scattering ◽  
Cross Sections ◽  
Intermediate Energy ◽  
Halo Nuclei ◽  
Ratio Method ◽  
Angular Distributions ◽  
Neutron Halo ◽  
Target Interaction ◽  
Nuclear Systems ◽  
Reaction Channels

AbstractFor one-neutron halo nuclei, the cross sections for elastic scattering and breakup at intermediate energy exhibit similar angular dependences. The Recoil Excitation and Breakup (REB) model of reactions elegantly explains this feature. It also leads to the idea of a new reaction observable to study the structure of loosely-bound nuclear systems: the Ratio. This observable consists of the ratio of angular distributions for different reaction channels, viz. elastic scattering and breakup, which cancels most of the dependence on the reaction mechanism; in particular it is insensitive to the choice of optical potentials that simulate the projectile-target interaction. This new observable is very sensitive to the structure of the projectile. In this article, we review a series of previous papers, which have introduced the Ratio Method and its extension to low beam energies and proton-halo nuclei.

scholarly journals Microscopic model of optical potential for testing the 12,14Be+p elastic scattering at 700 Mev

2019 ◽  
Vol 204 ◽  
pp. 09003 ◽  
Author(s):  
Valery Lukyanov ◽  
Elena Zemlyanaya ◽  
Konstantin Lukyanov
Keyword(s):  
Elastic Scattering ◽  
Cross Sections ◽  
Optical Potential ◽  
Relativistic Wave Equation ◽  
Relativistic Wave ◽  
Generator Coordinate Method ◽  
Generator Coordinate ◽  
Microscopic Models ◽  
Fermi Function ◽  
Scattering Cross Sections

The data on the 12,14Be + p elastic scattering cross sections at 700 Mev are compared with those obtained by solving the relativistic wave equation with the microscopic optical potentials calculated as folding of the NN amplitude of scattering with densities of these nuclei in the form of the symmetrized Fermi function with the fitted radius and diffuseness parameters, and also with the densities obtained in two microscopic models, based on the Generator Coordinate Method (GCM) and the other one – on the Variational Method of Calculations (VMC). For 12Be, above models turn out to be in a small disagreement with the data at "large" angles of scattering θ ≥ 9°, while for the 14Be one sees some inconsistence at smaller angles, too.

Elastic Scattering of Electrons by Helium Atoms at Intermediate Energies

1993 ◽  
Vol 48 (3) ◽  
pp. 465-468
Author(s):  
V. M. Chhaya ◽  
J. J. Tarwadi ◽  
Smita Chhag
Keyword(s):  
Elastic Scattering ◽  
Energy Range ◽  
Cross Sections ◽  
Differential Cross ◽  
Hydrogen Atoms ◽  
Helium Atoms ◽  
Intermediate Energies ◽  
Born Series ◽  
Electrons And Positrons ◽  
Theoretical Results

Abstract The unitarised Eikonal Born series (UEBS) method has been used successfully by Byron et al. for elastic scattering of electrons and positrons by hydrogen atoms. Here an attempt is made to apply the UEBS method in the case of elastic scattering of electrons by helium atoms. The total and differential cross sections are calculated for the energy range 100-700 eV. The results are compared with experimental and other theoretical results. It is found that the results obtained with the UEBS method agree best with the experimental results.

Nd SCATTERING AT INTERMEDIATE ENERGY AND THREE-NUCLEON FORCE EFFECTS

2003 ◽  
Vol 18 (02n06) ◽  
pp. 306-312
Author(s):  
HIDEYUKI SAKAI
Keyword(s):  
Elastic Scattering ◽  
Intermediate Energy ◽  
Nucleon Force ◽  
Intermediate Energies ◽  
Theoretical Predictions

Several examples of recent experimental activities in Japan on the study of three-nucleon-force effects via the Nd elastic scattering at intermediate energies are briefly reviewed. Differences between the data and theoretical predictions are identified.

An experimental investigation of small angle photon elastic scattering

1979 ◽  
Vol 57 (3) ◽  
pp. 343-352 ◽  
Author(s):  
N. Ramanathan ◽  
T. J. Kennett ◽  
W. V. Prestwich
Keyword(s):  
Experimental Investigation ◽  
Elastic Scattering ◽  
Cross Sections ◽  
Small Angle ◽  
Differential Cross ◽  
Bound States ◽  
Scattering Amplitude ◽  
Form Factors ◽  
Differential Cross Sections

The differential cross sections for photon elastic scattering have been determined for targets of Cu, Cd, Ta, and Pb, at angles of 2.4, 3.5, 5.1., 6.0, 8.0, and 10.0° and incident energies of 244.7, 344.3, 443.9, 778.9, 964.0, 1085.8, 1112.0, 1274.2, and 1408.0 keV. The data indicate that presently calculated form factors may be too large, and suggest that intermediate bound states may influence the scattering amplitude.

EIKONAL DESCRIPTION OF 12C–12C ELASTIC SCATTERING IN TERMS OF PHENOMENOLOGICAL EFFECTIVE NN POTENTIAL

2002 ◽  
Vol 11 (06) ◽  
pp. 519-529 ◽  
Author(s):  
I. AHMAD ◽  
M. A. ABDULMOMEN ◽  
M. A. ALVI
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitude ◽  
Heavy Ion ◽  
Scattering Data ◽  
Essential Point ◽  
Intermediate Energies ◽  
Optical Limit ◽  
Optical Limit Approximation ◽  
Glauber Multiple Scattering Theory ◽  
Limit Approximation

A phenomenological method of analysis for heavy-ion elastic scattering data at intermediate energies is proposed within the framework of the optical limit approximation of the Glauber multiple scattering theory. The essential point of our method is to evaluate the NN scattering amplitude in terms of a phenomenological effective NN potential the parameters of which are varied to fit the experimental data. It is applied to analyze 12C–12C elastic scattering data in the energy range of 25–200 MeV/nucleon with a good degree of success.

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