Numerical computation of doppler-broadening in the resonance domain

Conference · Mon Jul 01 00:00:00 EDT 2013

OSTI ID:22212706

Sanchez, R. ^[1]; Hewko, C. ^[1]; Santandrea, S. ^[1]

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1. Commissariat a l'Energie Atomique et aux Energies Alternatives, Service d'Etudes de Reacteurs et de Mathematiques Appliquees, CEA DEN DM2S/SERMA, 91191 Gif-sur-Yvette cedex (France)

We have implemented an accurate and fast calculation of the Doppler-broadened kernel PT(E {yields} E') for neutron elastic scattering based on a gas model. An exponential cutoff which accounts for the asymptotic behavior of the error function helps limit the range of integration while eliminating difference effects. This allows for calculating a kernel library for {sup 238}U over a very fine energy grid covering the resonance range in only a few hours in a laptop. We give an example showing the impact of {sup 238}U elastic up-scattering on the values of self shielded cross sections. (authors)

• Research Organization: American Nuclear Society, 555 North Kensington Avenue, La Grange Park, IL 60526 (United States)
• OSTI ID: 22212706
• Resource Relation: Conference: M and C 2013: 2013 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, Sun Valley, ID (United States), 5-9 May 2013; Other Information: Country of input: France; 17 refs.; Related Information: In: Proceedings of the 2013 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering - M and C 2013| 3016 p.
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ASYMPTOTIC SOLUTIONS
CALCULATION METHODS
CROSS SECTIONS
DOPPLER BROADENING
DOPPLER EFFECT
ELASTIC SCATTERING
KERNELS
NEUTRONS
NUCLEAR PHYSICS
RESONANCE
URANIUM 238