Nuclear Science and Techniques

《核技术》(英文版) ISSN 1001-8042 CN 31-1559/TL     2019 Impact factor 1.556

Nuclear Science and Techniques ›› 2016, Vol. 27 ›› Issue (2): 36 doi: 10.1007/s41365-016-0043-4

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Improvement on application of Dancoff factor and resonance interference table

Yu Han 1, Xiao-Feng Jiang 2, De-Zhong Wang1   

  1. 1 School of Nuclear Science and Engineering, Shanghai Jiaotong University, Shanghai 200240, China
    2 Shanghai NuStar Nuclear Power Technology Co., Ltd., Shanghai 200000, China
  • Contact: Yu Han
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Yu Han, Xiao-Feng Jiang, De-Zhong Wang. Improvement on application of Dancoff factor and resonance interference table.Nuclear Science and Techniques, 2016, 27(2): 36     doi: 10.1007/s41365-016-0043-4


An improvement for application of Dancoff factor is developed. It combines Stamm’ler’s two-term method for resonance integral calculation with neutron current method for Dancoff factor calculation. Stamm’ler’s formulation, which is originally derived for the infinite lattice geometry, can be easily revised to contain the Dancoff factor explicitly, while the neutron current method can easily calculate the Dancoff factor for general irregular assembly geometry. For the resonance interference effects, the resonance interference factor table is built in pairs of nuclides, only for the interference between 238U and other resonance nuclides, spanning over a range of background cross-section and number density ratio of the pairing nuclides. A series of verification calculations have been carried out for problems of infinite lattice and single assembly geometry, with two or multiple resonance absorbers. For these verification calculations, our improvement on Dancoff factor application and resonance interference give good results.

Key words: Resonance, Self-shielding, Equivalence theory, Dancoff factor, Neutron current method, Stamm’ler’s method, Resonance interference effect, Resonance interference factor