LI Kaile; LI Sufen; CAI Xingfu; HUO Yonggang; WANG Fei

doi:10.7498/aps.74.20241529

Abstract

Fast neutron multiplicity measurement technology is an important non-destructive testing technology in the field of arms control verification. In the technique, the liquid scintillation detector is used to detect the fission neutron and combined with the time correlation analysis method to extract multiplicity counting rates from the pulse signals. This technique is commonly used to measure the mass of nuclear materials, however, it is based on the point model that assumes that the neutron multiplication coefficient keeps constant in the whole spatial volume, which will lead to overestimation of the multiplication coefficient and result in system deviation. To correct the deviation and improve the measurement accuracy, the fast neutron multiplicity simulation measurements are carried out on spherical and cylindrical samples in this work. The relationship among the position of neutron generation, absorption and net growth in the space volume of the material is obtained. According to the definition of the leakage multiplication coefficient, the leakage multiplication coefficients at different positions in the space volume of the material are calculated. On this basis, a method based on spatial multiplication coefficient correction is proposed according to the functional relationship between neutron multiplicity factorial moments and the unknown parameters. In this method, the n-order multiplication coefficient is modified by introducing a weight factor $ {g_n} $, and the fast neutron multiplicity weighted point model equation is derived. To verify the accuracy of this method, a set of fast neutron multiplicity detection model is built by Geant4, and the fast neutron multiplicity simulation measurement is carried out on the spherical and cylindrical samples. The results show that the solution accuracy of the weighted point model equation is higher than that of the standard point model equation, and the measurement deviation is reduced to less than 6 %. This work provides an optimization method for solving plutonium samples with several kilograms in mass, and promotes the development of the fast neutron multiplicity measurement technology.

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Authors and contacts

Corresponding author: LI Sufen, leesf2006@sina.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 12475307).

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Cited By

DownLoad: Full-Size Img PowerPoint

样品	第1层	第2层	第3层	第4层	第5层	第6层	第7层	第8层	第9层	第10层
球体	173663	156111	142509	131236	121585	110940	102358	92682	82744	72978
圆柱体	212847	201300	189675	177980	165286	154546	140224	128419	113419	97833

DownLoad: CSV

样品	$ \overline {M_{\text{L}}^n} $					$ {(\overline {{M_{\text{L}}}} )^n} $					$ {g_n} $
样品	$ \overline {{M_{\text{L}}}} $	$ \overline {M_{\text{L}}^{2}} $	$ \overline {M_{\text{L}}^{3}} $	$ \overline {M_{\text{L}}^{4}} $	$ \overline {M_{\text{L}}^{5}} $	$ {(\overline {{M_{\text{L}}}} )^1} $	$ {(\overline {{M_{\text{L}}}} )^2} $	$ {(\overline {{M_{\text{L}}}} )^3} $	$ {(\overline {{M_{\text{L}}}} )^4} $	$ {(\overline {{M_{\text{L}}}} )^5} $	$ {g_1} $	$ {g_2} $	$ {g_3} $	$ {g_4} $	$ {g_5} $
球体	2.03	4.21	8.87	18.97	41.24	2.03	4.14	8.42	17.13	34.84	1	1.017	1.053	1.107	1.184
圆柱体	2.38	5.76	14.16	35.36	89.52	2.38	5.66	13.45	31.99	76.09	1	1.017	1.052	1.105	1.176

DownLoad: CSV

	泄漏增殖系数		计算质量		计算偏差/%
	球体	圆柱体	球体	圆柱体	球体	圆柱体
修正前	2.16	2.51	161.05	243.06	–28.04	–27.6
修正后	2.07	2.40	236.03	344.30	5.5	2.6

DownLoad: CSV

样品	$ \overline {M_{\text{L}}^n} $					$ {(\overline {{M_{\text{L}}}} )^n} $					$ {g_n} $
样品	$ \overline {{M_{\text{L}}}} $	$ \overline {M_{\text{L}}^{2}} $	$ \overline {M_{\text{L}}^{3}} $	$ \overline {M_{\text{L}}^{4}} $	$ \overline {M_{\text{L}}^{5}} $	$ {(\overline {{M_{\text{L}}}} )^1} $	$ {(\overline {{M_{\text{L}}}} )^2} $	$ {(\overline {{M_{\text{L}}}} )^3} $	$ {(\overline {{M_{\text{L}}}} )^4} $	$ {(\overline {{M_{\text{L}}}} )^5} $	$ {g_1} $	$ {g_2} $	$ {g_3} $	$ {g_4} $	$ {g_5} $
球体	2.03	4.18	8.76	18.64	40.22	2.03	4.11	8.35	16.93	34.34	1	1.016	1.049	1.101	1.171
圆柱体	2.37	5.74	14.08	35.09	88.61	2.37	5.64	13.39	31.78	75.47	1	1.017	1.052	1.104	1.174

DownLoad: CSV

	泄漏增殖系数		计算质量		计算偏差/%
	球体	圆柱体	球体	圆柱体	球体	圆柱体
离散修正	2.07	2.40	236.03	344.30	5.45	2.55
拟合修正	2.08	2.39	231.24	343.02	3.32	2.13

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