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首页> 外文期刊>Physics of particles and nuclei letters >Reconstruction of the fast neutron spectrum using deformation of a reference spectrum represented as a Legendre polynomial expansion
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Reconstruction of the fast neutron spectrum using deformation of a reference spectrum represented as a Legendre polynomial expansion

机译:使用表示为勒让德多项式展开式的参考光谱的变形来重建快速中子光谱

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摘要

This paper proposes a method for reconstructing the fast neutron spectra in the range 0.2 MeV to 100 MeV based on modified methods of the effective threshold cross sections and the deformation of a reference spectrum using the Legendre polynomial expansion of a deforming function. In contrast to the deformation method traditionally used to determine the desired differential spectrum φ(E), we propose the use of a deforming function as a Legendre polynomial expansion in order to determine the integrated spectrum F(E). Since F(E) is a monotonic decreasing function that tends to zero when approaching the maximum spectral energy, it can be represented by a shorter series; i.e., the number M of the sought series coefficients a_m will not be large. The developed program was used to calculate fast neutron spectra in a QUINTA nuclear setup that was irradiated with 1-8 GeV deuterons of Nuclotron-M at the Laboratory of High Energies of the Joint Institute for Nuclear Research.
机译:本文提出了一种基于有效阈值截面的修正方法和使用变形函数的勒让德多项式展开法对参考光谱进行变形的方法,来重建0.2 MeV至100 MeV范围内的快速中子光谱。与传统上用于确定所需差分频谱φ(E)的变形方法相反,我们建议使用变形函数作为Legendre多项式展开式以确定积分频谱F(E)。由于F(E)是单调递减函数,在接近最大频谱能量时趋于零,因此可以用较短的序列表示;即,所寻求的系列系数a_m的数量M不会很大。在联合核研究所高能实验室中,使用已开发的程序来计算QUINTA核装置中的快速中子光谱,该装置被Nuclotron-M的1-8 GeV氘核辐照。

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