Statistical significance of phase-shift analyses for heavy-ion elastic-scattering data

1983 ◽  
Vol 314 (2) ◽  
pp. 149-157 ◽  
Author(s):  
H. J. Krappe ◽  
H. H. Rossner
Keyword(s):  
Elastic Scattering ◽  
Phase Shift ◽  
Statistical Significance ◽  
Heavy Ion ◽  
Scattering Data

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.

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.

COULOMB-MODIFIED EIKONAL PHASE SHIFT ANALYSIS BASED ON HYPERBOLIC TRAJECTORY FOR 12C + 12C ELASTIC SCATTERINGS

2004 ◽  
Vol 13 (02) ◽  
pp. 439-450 ◽  
Author(s):  
YONG JOO KIM ◽  
MOON HOE CHA
Keyword(s):  
Elastic Scattering ◽  
Phase Shift ◽  
Heavy Ion ◽  
Phase Shift Analysis ◽  
Angular Distributions ◽  
Real Potential ◽  
Eikonal Model ◽  
Shift Analysis ◽  
Nuclear Rainbow ◽  
Model Formalism

We present a Coulomb-modified eikonal model formalism based on hyperbolic trajectory for heavy-ion elastic scattering. This formalism has been applied satisfactorily to elastic scatterings of the 12 C + 12 C system at E lab =240, 360 and 1016 MeV. The presence of a nuclear rainbow in this system is evidenced through a classical deflection function. The Fraunhöfer oscillations observed in the elastic angular distributions can be explained due to interference between the near- and far-side amplitudes. We have found that the hyperbolic trajectory effect on the eikonal model is important when the absorptive potential is weak and the real potential is strong.

NON-EIKONAL PHASE SHIFT ANALYSIS FOR 12C + 12C ELASTIC SCATTERING

2000 ◽  
Vol 09 (01) ◽  
pp. 67-76 ◽  
Author(s):  
YONG JOO KIM ◽  
MOON HOE CHA
Keyword(s):  
Elastic Scattering ◽  
Phase Shift ◽  
Heavy Ion ◽  
Phase Shift Analysis ◽  
Angular Distributions ◽  
Real Potential ◽  
Imaginary Potential ◽  
First Order ◽  
Shift Analysis ◽  
Nuclear Rainbow

We present first-order non-eikonal correction to the eikonal phase shifts for heavy ion elastic scattering based on Coulomb trajectories of colliding nuclei. It has been applied satisfactorily to elastic angular distributions of the 12 C + 12 C system at E lab = 240, 360 and 1016 MeV. The refractive oscillations observed in the elastic scattering angular distributions could be explained due to interference between the near- and far-side amplitudes. The presence of a nuclear rainbow is evidenced through classical deflection function. We have found that the first-order non-eikonal effect on the imaginary potential is important when the absorptive potential is weak and the real potential is strong.

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