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 The refractive scattering of 17F+12C

2020 ◽  
Vol 239 ◽  
pp. 03010
Author(s):  
Liyuan Hu ◽  
Yushou Song ◽  
Yingwei Hou ◽  
Huilan Liu
Keyword(s):  
Experimental Data ◽  
Angular Distribution ◽  
Elastic Scattering ◽  
Optical Potential ◽  
Optical Model ◽  
Channel Calculation ◽  
Coupled Channels ◽  
The One ◽  
Nuclear Rainbow ◽  
The Continuum

The experimental data of the elastic scattering angular distribution of 17F+12C at 170 MeV is analyzed by the continuum-discretized coupled channels (CDCC) method and the optical model (OM). In the CDCC calculation, the unambiguous optical potential of 16O+12C is used as the input to give the coupling potentials. A very refractive feature is found and two evident Airy minima are predicted at large angles. The one-channel calculation is also performed and gives nearly the same result. In the OM calculations, this optical potential of 16O+12C is used again and adjusted to reproduce the angular distribution of 17F+12C. The Airy oscillation appears again in the calculated angular distribution. These results indicate that the elastic scattering of 17F+12C at 170 MeV has the possibility of the nuclear rainbow phenomenon, which is probably due to the contribution from the 16O core.

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.

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 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 The scattering of 4·2 MeV protons by deuterium, helium and other light elements

1947 ◽  
Vol 190 (1021) ◽  
pp. 180-195 ◽  
Keyword(s):  
Angular Distribution ◽  
Elastic Scattering ◽  
Scattered Wave ◽  
Angular Distributions ◽  
Light Elements ◽  
Coulomb Term ◽  
Collision Processes ◽  
Mev Protons

The methods previously described have been applied to a study of the elastic scattering of 4·2 MeV protons by deuterium, helium, nitrogen, oxygen, neon, argon, chlorine and bromine. The results obtained with deuterium and helium as the scattering gases are compared with those of other experimenters working with protons of different energies. The angular distributions of the protons elastically scattered by nitrogen and oxygen, together with the results for carbon obtained in previous measurements, can be simply described in terms of an S -component interacting with the Coulomb term in the formula for the scattered wave. Values are obtained in each case for the magnitude of the parameter which defines the amplitude and phase of the S -wave. The angular distribution of the protons inelastically scattered by neon has been investigated and evidence obtained for similar collision processes in experiments with argon and chlorine.

Optisches Modell für die Streuung von K--Mesonen an Kernen

1957 ◽  
Vol 12 (12) ◽  
pp. 947-955 ◽  
Author(s):  
P. Mittelstaedt
Keyword(s):  
Angular Distribution ◽  
Elastic Scattering ◽  
Energy Distribution ◽  
Inelastic Scattering ◽  
Optical Potential ◽  
Optical Model ◽  
Experimental Results ◽  
The Real ◽  
Elastic And Inelastic Scattering ◽  
Plate Group

The elastic and inelastic scattering of K--Mesons by complex nuclei are described by means of a phenomenological optical model. The real and the imaginary parts of the optical potential are determined by a comparison with the experimental results of the Goettingen and of the Bern plate group from the angular distribution of the elastic scattering and also from the energy distribution of the inelastically scattered K--Mesons by means of the GoLDBERGER-method.

Proton?Capture Gamma Rays from Nitrogen?13

1962 ◽  
Vol 15 (3) ◽  
pp. 443 ◽  
Author(s):  
AW Parker ◽  
GG Shute
Keyword(s):  
Angular Distribution ◽  
Excited State ◽  
Elastic Scattering ◽  
Gamma Rays ◽  
Ground State ◽  
Recent Experiment ◽  
Gamma Ray ◽  
Angular Distributions ◽  
Proton Capture ◽  
Yield Curves

From a recent experiment in this laboratory (Shute et al. 1962) on the elastic scattering of protons from 12C, resonance levels (E13N, J1t) of 13N were obtained at the laboratory bombarding energies (Ep) shown in Table 1. To confirm these results, an investigation of the yield and angular distribution of gamma rays from the reaction 12C(p'YO)13N and 12C(p'Yl)13N was undertaken. Accordingly, the theoretical angular distributions, W(8), for the gamma ray (Yo) to the ground state of 13Na-) and also for the gamma ray (Yl) to the 1st excited state of 13Na+) were evaluated on the assumptions that overlap of levels in 13N is small and lowest order multipoles are involved. As angular distributions are parity insensitive, these were found to be identical for the two gamma rays expected. The simpler of these angular distributions are also shown on the table. The expected angular distributions indicate that 90� is a suitable angle for yield curves.

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.

Comparative study of alpha + nucleus elastic scattering using different models

2015 ◽  
Vol 24 (01) ◽  
pp. 1550003 ◽  
Author(s):  
A. H. Al-Ghamdi ◽  
Awad A. Ibraheem ◽  
M. El-Azab Farid
Keyword(s):  
Elastic Scattering ◽  
Cross Section ◽  
Optical Potential ◽  
Optical Model ◽  
Distribution Density ◽  
Cluster Structure ◽  
Nucleon Nucleon ◽  
Angular Distributions ◽  
Nucleon Interaction ◽  
Nucleon Nucleon Interaction

The alpha (α) elastic scattering from different targets potential over the energy range 10–240 MeV has been analyzed in the framework of the single-folding (SF) optical model. Four targets are considered, namely, 24 Mg , 28 Si , 32 S and 40 Ca . The SF calculations for the real central part of the nuclear optical potential are performed by folding an effective α–α interaction with the α-cluster distribution density in the target nucleus. The imaginary part of the optical potential is expressed in the phenomenological Woods–Saxon (WS) form. The calculated angular distributions of the elastic scattering differential cross-section using the derived semimicroscopic potentials successfully reproduce 36 sets of data all over the measured angular ranges. The obtained results confirm the validity of the α-cluster structure of the considered nuclei. For the sake of comparison, the same sets of data are reanalyzed using microscopic double-folded optical potentials based upon the density-dependent Jeukenne–Lejeune–Mahaux (JLM) effective nucleon–nucleon interaction.

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