Inverse Problem for Heavy-Ion Elastic Scattering and the Connection Between Parametrized Phase- Shift and Optical-Potential Models

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.

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Phase shift analysis of heavy-ion elastic scattering measured at intermediate energies

Zeitschrift für Physik A Atoms and Nuclei ◽

10.1007/bf01432438 ◽

1985 ◽

Vol 321 (4) ◽

pp. 613-618 ◽

Cited By ~ 24

Author(s):

M. C. Mermaz

Keyword(s):

Elastic Scattering ◽

Phase Shift ◽

Heavy Ion ◽

Phase Shift Analysis ◽

Intermediate Energies ◽

Shift Analysis

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

International Journal of Modern Physics E ◽

10.1142/s0218301300000052 ◽

2000 ◽

Vol 09 (01) ◽

pp. 67-76 ◽

Cited By ~ 3

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

Zeitschrift für Physik A Atoms and Nuclei ◽

10.1007/bf01879873 ◽

1983 ◽

Vol 314 (2) ◽

pp. 149-157 ◽

Cited By ~ 12

Author(s):

H. J. Krappe ◽

H. H. Rossner

Keyword(s):

Elastic Scattering ◽

Phase Shift ◽

Statistical Significance ◽

Heavy Ion ◽

Scattering Data

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PHASE-SHIFT ANALYSIS AND FIRST-ORDER EIKONAL CORRECTION TO OPTICAL POTENTIAL BY INVERSION FOR 16O+28SI ELASTIC SCATTERING AT Elab=1503 MEV

International Journal of Modern Physics E ◽

10.1142/s0218301399000227 ◽

1999 ◽

Vol 08 (04) ◽

pp. 311-320 ◽

Cited By ~ 1

Author(s):

YONG JOO KIM ◽

MOON HOE CHA

Keyword(s):

Elastic Scattering ◽

Phase Shift ◽

Optical Potential ◽

Elastic Cross Section ◽

Phase Shift Analysis ◽

First Order ◽

Shift Analysis ◽

S Matrix ◽

Inversion Procedure ◽

Optical Model Analysis

We analyze 16 O +28 Si elastic scattering at E lab =1503 MeV using a phase shift analysis based on McIntyre parametrization of S-matrix. The near- and far-side decompositions of elastic cross section have been also performed by following Fuller's formalism. By using the inversion procedure of McIntyre S-matrix, the optical potential is obtained and its result was compared with one of the optical model analysis. The first-order eikonal correction effect on the optical potential by inversion is discussed.

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ANALYSIS OF NUCLEUS–NUCLEUS FUSION CROSS-SECTION AT EXTREME SUB-BARRIER ENERGIES

International Journal of Modern Physics E ◽

10.1142/s021830131250067x ◽

2012 ◽

Vol 21 (07) ◽

pp. 1250067 ◽

Cited By ~ 4

Author(s):

BASUDEB SAHU ◽

BIDHUBHUSAN SAHU

Keyword(s):

Elastic Scattering ◽

Cross Section ◽

Optical Potential ◽

Potential Model ◽

Fusion Cross Section ◽

Analytical Form ◽

Heavy Ion ◽

Barrier Energy ◽

Barrier Potential ◽

Surface Diffuseness

The nucleus–nucleus potential is expressed phenomenologically by a new radial form as an alternative to the conventional Woods–Saxon form. By virtue of novel representation of the surface diffuseness, the potential added with the electrostatic part generates a unique barrier potential which provides simultaneous explanations of two important mechanisms namely elastic scattering and fusion in a heavy-ion reaction within the framework of optical potential model of scattering and region-wise absorption in analytical form. The drastic falloff of experimental results of fusion cross-section (σ fus ) at extreme sub-barrier energy (E) and its manifestation depicting maximum in S( = Eσ fus e2πη) factor and steep rise in L( = d ln (Eσ fus )/dE) factor are explained with remarkable success.

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