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Abstract

The present invention relates to a nuclear cross section Doppler broadening method and device. The method includes: discretizing a product F(x,θ) of an average reaction cross section function σ(E,T) and an energy E on grids equally divided on a square roll N of the energy as F_k^c(θ), where incident particles have mass m and energy E, target particles have mass M and Maxwellian energy distribution under a temperature T, and E(x,θ)=Eσ(E,T), F_k^c(θ)=F(x_k,θ), k=0,1, . . . N−1, x=√{square root over (E)}, and c are discrete superscript symbols; expanding the product F(x,θ) of the average reaction cross section function and the energy on a group of orthogonal function sets, an expansion coefficient is {circumflex over (f)}_j(θ), and j is an index of the orthogonal function sets, where for the discretized product F_k^c(θ) of the average reaction cross section function and the energy, an orthogonal function expansion coefficient thereof is {circumflex over (f)}_j^c(θ)≈{circumflex over (f)}_j(θ), based on the product F(x,0) of the average reaction cross section function and the energy under a 0 K temperature, obtaining a group of coefficient weights {circumflex over (f)}_j^c(0), where {circumflex over (f)}_j^c(θ) is a function of {circumflex over (f)}_j^c(0); and representing F(x,θ) as a sum of an orthogonal function of the group of coefficient weights, using the group of coefficient weights {circumflex over (f)}_j^c(θ), calculating F(x,θ), and obtaining an average reaction cross section σ(E,T).

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First Claim