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.

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.

SECOND-ORDER EIKONAL MODEL ANALYSIS OF16O+16OELASTIC SCATTERING

2001 ◽  
Vol 10 (04n05) ◽  
pp. 373-386 ◽  
Author(s):  
YONG JOO KIM ◽  
MOON HOE CHA
Keyword(s):  
Angular Distribution ◽  
Elastic Scattering ◽  
Scattering Amplitudes ◽  
Optical Potential ◽  
Second Order ◽  
Angular Distributions ◽  
Eikonal Model ◽  
Oscillatory Structure ◽  
Nuclear Rainbow ◽  
Elastic Angular Distribution

We analyze the elastic scattering angular distributions of the16O +16O system at Elab=480 MeV and 704 MeV within the framework of the second-order eikonal model based on Coulomb trajectories of colliding nuclei. The diffractive oscillatory structure observed in the elastic angular distribution could be explained due to the interference between the near- and far-side scattering amplitudes. The presence of a nuclear rainbow in this system is evidenced through a classical deflection function. The effective optical potential is developed from the second-order non-eikonal phase shifts.

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.

COULOMB-MODIFIED EIKONAL MODEL ANALYSIS OF REFRACTIVE12C+12CELASTIC SCATTERING AT Elab= 240 AND 360MeV

2002 ◽  
Vol 11 (03) ◽  
pp. 211-219 ◽  
Author(s):  
YONG JOO KIM ◽  
MOON HOE CHA
Keyword(s):  
Experimental Data ◽  
Scattering Amplitudes ◽  
Optical Potential ◽  
Scattering Amplitude ◽  
Tangential Velocity ◽  
Small Radius ◽  
Angular Distributions ◽  
Eikonal Model ◽  
Strong Interference ◽  
Side Component

We present the Coulomb-modified eikonal model by using a tangential velocity at the distance of closest approach. The Fraunhöfer oscillations observed in the elastic angular distributions of the12C +12C system at Elab= 240 and 360 MeV can be explained due to the strong interference between the near- and far-side scattering amplitudes. We have found that the strongly real and weakly imaginary potentials are required to describe the refractive12C +12C elastic scatterings at Elab= 240 and 360 MeV. The refractive pattern, dominated by the far-side component of the scattering amplitude, can be shown to be sensitive to the real part of optical potential at small radius. Introducing the tangential velocity, it is shown that the Coulomb-modified eikonal model satisfactorily reproduces experimental data concerning the refractive pattern in the angular distributions of the12C +12C system at Elab= 240 and 360 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 Study of the deuteron analyzing powers in dp elastic scattering at the energy of 800 MeV

2019 ◽  
Vol 204 ◽  
pp. 10001 ◽  
Author(s):  
O. Mezhenska ◽  
A.V. Averyanov ◽  
E.V. Chernykh ◽  
D. Enache ◽  
Yu.V. Gurchin ◽  
...  
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Multiple Scattering ◽  
Deuteron Beam ◽  
Angular Distributions ◽  
Internal Target ◽  
Target Station ◽  
Analyzing Powers ◽  
Preliminary Results

Preliminary results on the angular distributions of the vector Ay and tensor Ayy, Axx analyzing powers in dp elastic scattering at the energy of 800 MeV are presented. The measurements have been performed on Internal Target Station of the JINR Nuclotron using polarized deuteron beam from new source of polarized ions. The experimental data are compared with the preliminary calculations obtained within framework of relativistic multiple scattering approach.

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