Resolution of discrepancy between backward angle cross-section data for neutron-deuteron elastic scattering

1994 ◽  
Vol 16 (3) ◽  
pp. 127-142 ◽  
Author(s):  
C. R. Howell ◽  
W. Tornow ◽  
H. R. Setze ◽  
R. T. Braun ◽  
D. E. Gonzalez Trotter ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Cross Section ◽  
Cross Section Data ◽  
Section Data ◽  
Backward Angle

DIFFERENTIAL OPERATORS FOR SCATTERING AMPLITUDES

2007 ◽  
Vol 16 (09) ◽  
pp. 2910-2914
Author(s):  
MÁRCIO JOSÉ MENON ◽  
REGINA FONSECA ÁVILA
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitudes ◽  
Cross Section ◽  
Differential Form ◽  
Differential Operators ◽  
Dispersion Relations ◽  
Proton Scattering ◽  
Cross Section Data ◽  
Proton Proton ◽  
Section Data

We discuss novel dispersion relations in differential form, connecting real and imaginary parts of elastic scattering amplitudes and formally valid at any energy above the physical threshold. By means of fits to total cross section data from proton-proton and antiproton-proton scattering, we evaluate the corresponding ratio ρ between the real and imaginary parts of the forward amplitudes. We show that the results are exactly the same as those obtained through standard integral dispersion relations.

MICROSCOPIC POTENTIAL DESCRIPTION OF THE ELASTIC SCATTERING AND FUSION CROSS-SECTION DATA OF THE 12C+24Mg SYSTEM

2006 ◽  
Vol 15 (06) ◽  
pp. 1317-1332 ◽  
Author(s):  
M. KARAKOC ◽  
I. BOZTOSUN
Keyword(s):  
Elastic Scattering ◽  
Cross Section ◽  
Fusion Cross Section ◽  
Nucleon Nucleon ◽  
Angular Distributions ◽  
Cross Section Data ◽  
Section Data ◽  
Coupled Channels ◽  
Double Folding ◽  
Detailed Application

This paper comprises the first detailed application of the microscopic potentials for a simultaneous analysis of the elastic scattering and fusion cross-section data of the 12 C+ 24Mg system from 16.0 MeV to 24.0 MeV. We use the microscopic nucleon-nucleon double folding and α-α double folding cluster potentials within the framework of the optical model and coupled-channels formalism. We compare our microscopic potential results with the findings of the phenomenological deep and shallow potentials. All potentials provide a very good agreement with the experimental data for the elastic scattering angular distributions. However, only deep phenomenological, the microscopic nucleon-nucleon and α-α double folding cluster potentials provide a consistent description of the angular distributions and fusion cross-section data simultaneously.

Investigations on the Impact of Heavy Nuclides Resonance Elastic Scattering Models on Resonance Integrals

2010 ◽  
Author(s):  
Sitao Peng ◽  
Shaohong Zhang ◽  
Xiaofeng Jiang
Keyword(s):  
Elastic Scattering ◽  
Cross Section ◽  
Incident Energy ◽  
Cross Section Data ◽  
Section Data ◽  
Slowing Down ◽  
The Monte Carlo Method ◽  
Resonance Cross Section ◽  
Scattering Kernel ◽  
The Impact

In today’s cross section data processing process, asymptotic scattering model is employed by NJOY for the neutron/nucleus elastic scattering interactions in the epithermal energy region, which means that the energy of a scattered neutron is always lower than its incident energy and it falls evenly within the interval of [αE, E]. This model has recently been proved to have non-ignorable errors at some resonances of heavy nuclides. In this study, to investigate the impact of heavy nuclides resonance elastic scattering models to the resonance integrals, exact scattering kernel is employed and a deterministic code Estuary is developed to efficiently solve the neutron slowing down problem. Numerical results demonstrate that with the use of Estuary, results given in the literature obtained by the Monte Carlo method can be reproduced. With the resonance cross section approximately represented by the single-level Breit-Wigner formulation, investigations are made for different resonance parameters for both asymptotic and exact scattering models. Relations between errors and these related parameters are summarized.

COMPUTER SIMULATIONS OF HEAVY-ION ELASTIC SCATTERING

2002 ◽  
Vol 13 (07) ◽  
pp. 899-908
Author(s):  
MOON HOE CHA ◽  
YONG JOO KIM
Keyword(s):  
Elastic Scattering ◽  
Cross Section ◽  
Computer Simulations ◽  
Heavy Ion ◽  
Reaction Cross ◽  
Computer Language ◽  
Cross Section Data ◽  
Section Data ◽  
Computer Simulation Program ◽  
Shift Model

We have used the computer language Java to develop a computer simulation program for heavy-ion elastic scattering based on the parameterized phase shift model. Using this program, we have carried out a χ2-fit to the observed differential cross-section data of the heavy-ion elastic scattering and performed computer simulations of the angular distribution, the deflection function, the reaction cross-section, the scattering matrix element, and the analysis results as graphical representations. The program is also applied to elastic scattering of the 12C+12C system at E lab = 1016 MeV.

EXTENDED OPTICAL MODEL ANALYSES FOR 9Be + 144Sm SYSTEM NEAR COULOMB BARRIER ENERGIES

2011 ◽  
Vol 26 (05) ◽  
pp. 325-336 ◽  
Author(s):  
W. Y. SO ◽  
K. S. KIM
Keyword(s):  
Elastic Scattering ◽  
Cross Section ◽  
Cross Sections ◽  
Coulomb Barrier ◽  
Optical Model ◽  
Fusion Cross Section ◽  
Reaction Cross ◽  
Direct Reaction ◽  
Cross Section Data ◽  
Section Data

Within the framework of an extended optical model, we study elastic scattering and fusion cross section data for 9 Be + 144 Sm system near Coulomb barrier energies to determine the polarization potential decomposed into direct reaction and fusion parts. We show that the direct reaction and fusion potentials extracted from χ2 analyses separately satisfy the dispersion relation and that the threshold anomaly exhibits in the fusion part. The analyses using only elastic scattering and fusion data can furnish very consistent and reliable predictions of cross sections even though the direct reaction cross section data are not enough. From these analyses, we also obtain the semi-experimental α single and α–α coincidence cross sections, [Formula: see text] and [Formula: see text], for 9 Be + 144 Sm system.

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