On the overestimation of {sup 238}U resonance capture by equivalence theory
- School of Nuclear Science and Technology, Xi'an Jiaotong University, No. 28, Xianning West Road, Xi'an (China)
Extensive analyses of resonance calculation based on equivalence theory have indicated that the resonance capture of {sup 238}U is usually overestimated in a heterogeneous system. We evaluate the overestimation by generating the multi-group absorption cross sections of {sup 238}U in a PWR pin cell problem using Dancoff method with equivalence theory and other rigorous methods. The integral resonance reaction rate over resolved resonance range obtained by an integration procedure based on Narrow Resonance (NR) approximation shows that rational approximation of neutron escape probability is not the primary contributor to the overestimation, and that preserving reaction rate within rational approximation is theoretically superior to pursuing accurate escape probability. It is also implied by our results and analysis that the main contributors are the constant distribution assumption of total cross section and the NR approximation. Consequently, a two-dimensional geometry dependent resonance integral table based on the homogeneous and heterogeneous components of background cross section is suggested as an alternative to the legacy one-dimensional on the sum of the two components. (authors)
- Research Organization:
- American Nuclear Society, 555 North Kensington Avenue, La Grange Park, IL 60526 (United States)
- OSTI ID:
- 22212703
- 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; 20 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
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