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.

Elastic scattering of α particle at CERN-ISR energy: Three-nucleon force effect

2021 ◽  
pp. 2150041
Author(s):  
Mohamed A. Hassan ◽  
Hamed E. A. Awd-Allah
Keyword(s):  
Elastic Scattering ◽  
Nucleon Nucleon ◽  
Nucleon Force ◽  
Interaction Radius ◽  
Force Effect ◽  
Optical Limit ◽  
Nucleon Nucleon Interaction ◽  
Optical Limit Approximation ◽  
Limit Approximation ◽  
Good Agreement

In the framework of optical limit approximation of Glauber with inclusion of the three-nucleon force effect, we obtained a good agreement with the experimental data of [Formula: see text] elastic scattering differential cross-section at the energies [Formula: see text] and [Formula: see text][Formula: see text]GeV. The relation between the nucleon–nucleon slope parameter and the nucleon–nucleon interaction radius is discussed. In any case, the three-nucleon force is important and must be taken into account for a better agreement with the nucleus–nucleus data.

Proton-4He elastic scattering at 350–1728MeV energies: Three-body force effect

2018 ◽  
Vol 27 (03) ◽  
pp. 1850020
Author(s):  
M. A. Hassan ◽  
H. E. A. Awd-Allah ◽  
T. N. E. Salama ◽  
Z. S. Hassan
Keyword(s):  
Elastic Scattering ◽  
Multiple Scattering ◽  
Scattering Theory ◽  
Body Force ◽  
Nucleon Force ◽  
Force Effect ◽  
Optical Limit ◽  
Optical Limit Approximation ◽  
Three Body ◽  
Limit Approximation

An approach for the three-body force effect is used to study p-[Formula: see text] elastic scattering at energies 350–1728[Formula: see text]MeV. The multiple scattering theory of Glauber and the optical limit approximation are used in calculations of elastic scattering differential cross-section at 350, 600, 800, 1000 and 1728[Formula: see text]MeV. The inclusion of 2[Formula: see text]-exchange three-nucleon force improves the agreement with the experimental data for both approximations. The results of optical limit approximation without three-nucleon force effect are clearly smaller than the results of multiple scattering theory for [Formula: see text] due to the absence of multiple scattering terms in the first. However, with inclusion of three-nucleon force, the results of both approximations are approximately similar.

EIKONAL PHENOMENOLOGY FOR HEAVY-ION SCATTERING AT INTERMEDIATE ENERGIES

2004 ◽  
Vol 13 (06) ◽  
pp. 1225-1237 ◽  
Author(s):  
I. AHMAD ◽  
M. A. ALVI
Keyword(s):  
Elastic Scattering ◽  
Phase Shift ◽  
Gaussian Approximation ◽  
Good Description ◽  
Heavy Ion ◽  
Scattering Data ◽  
Glauber Model ◽  
Shift Function ◽  
Intermediate Energies ◽  
Phase Shift Function

Working within the framework of the Coulomb modified Glauber model and the optical limit approximation, we propose a phenomenological method of analysis for heavy-ion elastic scattering data at intermediate energies. Instead of using the commonly employed Gaussian approximation for the input NN amplitude that is deficient in some respects at low intermediate energies, we evaluate it in terms of a three parameter phenomenological NN phase shift function. The application of the method to some 12 C -nucleus and 16 O -nucleus systems shows that a very good description of the elastic scattering data at several energies can be obtained in this way. In particular, the 12 C –12 C elastic scattering data at 200 MeV/nucleon is very well reproduced. We also calculate the effective NN potential using the phenomenological NN phase shift function by the method of inversion. The calculated potential shows the expected behavior and is found to vary smoothly with energy.

Optical model analysis of p + 4He elastic scattering at intermediate energies

1978 ◽  
Vol 56 (8) ◽  
pp. 1116-1121 ◽  
Author(s):  
S. W-L. Leung ◽  
H. S. Sherif
Keyword(s):  
Elastic Scattering ◽  
Cross Section ◽  
Optical Model ◽  
Model Potential ◽  
Scattering Data ◽  
Exchange Potential ◽  
Central Potential ◽  
Intermediate Energies ◽  
Optical Model Potential ◽  
Optical Model Analysis

The conventional optical model potential is used to analyze the p + 4He elastic scattering data in the energy range 100–1150 MeV. Both differential cross section and polarization data are reasonably fitted. The behavior of the volume integral of the real central potential as a function of energy is studied and is found to follow the same trend observed for heavier targets. The energy dependence of the imaginary central potential is also studied. The imaginary spin–orbit term is found to be important in this energy region. In some cases, the rising backward cross section is fitted by introducing a simple real exchange potential.

scholarly journals The Profile of Inelastic Collisions from Elastic Scattering Data

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
I. M. Dremin
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Scattering Amplitude ◽  
Inelastic Collisions ◽  
Scattering Data ◽  
Inelastic Interaction ◽  
Unitarity Condition ◽  
Black Disk ◽  
Elastic Scattering Amplitude ◽  
Inelastic Processes

Using the unitarity relation in combination with experimental data about the elastic scattering in the diffraction cone, it is shown how the shape and the darkness of the inelastic interaction region of colliding protons change with increase of their energies. In particular, the collisions become fully absorptive at small impact parameters at LHC energies that results in some special features of inelastic processes. Possible evolution of this shape with the dark core at the LHC to the fully transparent one at higher energies is discussed that implies that the terminology of the black disk would be replaced by the black toroid. The approach to asymptotics is disputed. The ratio of the real to imaginary parts of the nonforward elastic scattering amplitude is briefly discussed. All the conclusions are only obtained in the framework of the indubitable unitarity condition using experimental data about the elastic scattering of protons in the diffraction cone without any reference to quantum chromodynamics (QCD) or phenomenological approaches.

Sign in / Sign up

Export Citation Format

Share Document