Qualitative behavior of heavy-ion elastic scattering angular distributions

1975 ◽  
Vol 12 (5) ◽  
pp. 1561-1574 ◽  
Author(s):  
R. C. Fuller
Keyword(s):  
Elastic Scattering ◽  
Heavy Ion ◽  
Angular Distributions ◽  
Qualitative Behavior

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.

Qualitative behavior of halo nuclei elastic scattering angular distributions

1993 ◽  
Vol 48 (1) ◽  
pp. 468-471 ◽  
Author(s):  
R. da Silveira ◽  
S. Klarsfeld ◽  
A. Boukour ◽  
Ch. Leclercq-Willain
Keyword(s):  
Elastic Scattering ◽  
Halo Nuclei ◽  
Angular Distributions ◽  
Qualitative Behavior

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.

Tangential Velocity Corrections to a Second-Order Coulomb-Modified Eikonal Model for Heavy-Ion Elastic Scattering

2003 ◽  
Vol 12 (04) ◽  
pp. 479-492
Author(s):  
Yong Joo Kim ◽  
Moon Hoe Cha
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Tangential Velocity ◽  
Heavy Ion ◽  
Second Order ◽  
Angular Distributions ◽  
Asymptotic Velocity ◽  
Imaginary Potential ◽  
Eikonal Model ◽  
Potential Strength

We present the tangential velocity corrections to the second-order Coulomb-modified eikonal model at the distance of closest approach. It has been applied to elastic angular distributions of the 16 O +16 O system at E lab =350 and 480 MeV. The calculated results with tangential velocity show better agreements with the experimental data compared to those with asymptotic velocity. The Fraunhöfer oscillations observed in the elastic angular distributions can be explained by the strong interference between the near- and the far-side amplitudes. Airy structures can be shown by reducing the effective imaginary potential strength. It is found that the Airy minimum is more visible as the effective imaginary potential strength is reduced. Deep real potentials associated with rather weak imaginary ones are found to be essential to describe the refractive 16 O +16 O elastic scatterings at E lab =350 and 480 MeV.

scholarly journals Carbon?Carbon Elastic Scattering

1962 ◽  
Vol 15 (1) ◽  
pp. 123 ◽  
Author(s):  
PJ Bunyan
Keyword(s):  
Elastic Scattering ◽  
Heavy Ions ◽  
Optical Model ◽  
Heavy Ion ◽  
Angular Distributions ◽  
Preliminary Study

Optical model analyses of elastic scattering of heavy ions have been carried out by Porter (1958) for nitrogen-nitrogen, and a preliminary study of the carbonnitrogen system has been made by Bassel, Melkanoff, and Drisko (Halbert, Hunting, and Zucker 1960). These analyses have shown that the optical model is capable of predicting, to a higher accuracy than the semiclassical models, the heavy ion elastic angular distributions.

scholarly journals A Comparison of Proximity Potentials in the Analysis of Heavy-Ion Elastic Cross Sections

2018 ◽  
Vol 63 (10) ◽  
pp. 881 ◽  
Author(s):  
M. Aygun
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Cross Sections ◽  
Optical Model ◽  
Heavy Ion ◽  
Comprehensive Analysis ◽  
Angular Distributions ◽  
Similarities And Differences ◽  
First Time ◽  
Theoretical Results

To obtain alternative nuclear potentials is very important in explaining the heavy-ion reactions, as well as light-ion ones. For this purpose, a comprehensive analysis of six different proximity potentials ([1, 9–12, 15]) is performed for the first time in the present study. In order to see the availability of the potentials, the elastic-scattering angular distributions of 40Ca by different target nuclei from 32S to 208Pb are calculated within the framework of the optical model. The theoretical results are compared with each other and with experimental data. The similarities and differences of the potentials are discussed, and some alternative potentials are proposed.

scholarly journals Analysis of Angular Distributions of Heavy-ion Transfer Reactions

1980 ◽  
Vol 33 (6) ◽  
pp. 965
Author(s):  
CBO Mohr
Keyword(s):  
Elastic Scattering ◽  
Heavy Ions ◽  
Heavy Ion ◽  
Critical Value ◽  
Transfer Reactions ◽  
Angular Distributions ◽  
Ion Transfer ◽  
S Matrix ◽  
Low Energies ◽  
Nuclear Phases

Proceeding as in our earlier analysis of elastic scattering, but with a form for the S matrix appropriate for transfer, peaked at the critical value Ie and with width parameter .d, it is shown how to analyse the angular distribution of transfer reactions of heavy ions to obtain.d. The effect of the nuclear phases is found not to be of such fundamental importance as in elastic scattering. Analysis of theexperimental data reveals an increase of.d with nuclear size especially at low energies, but an increase of nuclear penetration for transfer collisions of the lightest nuclei. The circumstances in which strong coupling might occur between elastic scattering and transfer are examined.

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