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.

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

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.

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