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With the deepening of international nuclear disarmament, attribute certification for nuclear material has attracted more and more attention. The fast neutron multiplicity measurement technology－a non-destructive testing method－uses scintillator detector for measurement, which plays a more and more important role in the military control verification system. At present, the fast neutron multiplicity measurement methods for plutonium materials are relatively mature, but the fast neutron multiplicity analysis model and measurement equations of uranium materials are still under development. In order to establish the active fast neutron multiplicity measurement equation for uranium materials, based on the derivation process of neutron multiplicity counting analysis equation, in this paper uses the probability generating function is used to derive the fast neutron multiplicity measurement equation of uranium materials according to the difference between the physical processes of uranium and plutonium materials, without considering the reaction of
$ (\alpha , n) $ or the influence of fast neutron scattering crosstalk. On this basis, in order to verify the validity of the measurement equation, Geant4 is used to build a 3 × 8 well-type detection system for simulation measurement. The fitting function relationship between the coupling coefficient and the value-added coefficient, the multiplicity counting rate, and the solution deviation of the quality are analyzed, thereby confirming the reliability and the accuracy of the measurement equation, which is of great significance in developing the fast neutron multiplicity technology.-
Keywords:
- fast neutron multiplicity measurement equation /
- probability generating function /
- factorial moment /
- fitting equation
[1] 高恒建, 邓峰 2016 俄罗斯研究 1 157
Google Scholar
Gao H J, Deng F 2016 Russian Studies 1 157
Google Scholar
[2] Bohnel K 1985 Nucl. Sci. Eng. 90 75
Google Scholar
[3] Miller M C, Biddle R S, Bourret S C, Byrd R C, Ensslin N, Feldman W C, Kuropatwinski J J, Longmire J L, Krick M S, Mayo D R 1999 Nucl. Instrum. Meth. A 422 89
Google Scholar
[4] 王勇 2019 博士学位论文 (上海: 上海师范大学)
Wang Y 2019 Ph. D. Dissertation (Shanghai: Shanghai Normal University) (in Chinese)
[5] Shin T H, Hua M Y, Fulvio A D, Marcath M J, Pozzi S A 2017 Institute of Nuclear Materials Management 58th Annual Meeting Indian Wells, California, USA, July 16–20, 2017 p1
[6] Zhang Q H, Yang J Q, Li X S, Li S F, Hou S X 2019 Appl. Radiat. Isotopes 152 45
Google Scholar
[7] Zhang Q H, Su X H, Hou S X, Li S F, Li J J 2020 J. Nucl. Sci. Technol. 2 1
Google Scholar
[8] 苏祥华, 张全虎, 侯素霞, 黎素芬, 霍勇刚, 庄琳, 侯林军 2020 现代应用物理 11 4
Google Scholar
Su X H, Zhang Q H, Hou S X, Li S F, Huo Y G, Zhuang L, Hou L J 2020 Modern Appl. Phys. 11 4
Google Scholar
[9] Hua M Y, Plummer T A, Hutchinson J D, Pozzi S A 2020 Nucl. Sci. Eng. 14 56
Google Scholar
[10] Hua M Y, Braden Goddard, Cody L, Pozzi S A 2019 Nucl. Sci. Eng. 8 11
Google Scholar
[11] Goddard B, Croft S, Lousteau A, Peerani P 2016 Nucl. Instrum. Methods Phys. Res. 830 256
Google Scholar
[12] Hao Z, Lin H, Liu G, Li J, Liang Q, Zhao Y 2015 Nucl. Instrum. Meth. A 797 70
Google Scholar
[13] Cifarelli D M, Hage W 1986 Nucl. Instrum. Meth. A 251 550
Google Scholar
[14] Di F A, Shin T H, Basley A, Swenson C, Sosa C, Clarke S D, Sanders J, Watson S, Pozzi S A 2018 Nucl. Instrum. Meth. A 907 248
Google Scholar
[15] [16] Andrea F, Croft S, Santi P 2015 Nucl. Instrum. Meth. A 795 370
Google Scholar
[17] Reilly D, Ensslin N, Smith H, Kreiner S 1991 Passive Nondestructive Assay of Nuclear Materials (Los Alamos National Laboratory, United States Nuclear Regulatory Commission) p117
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图 1 中子多重性测量类型
Figure 1. Type of the neutron multiplicity measurement.
图 2 测量系统模型的(a)剖面图和(b)俯视图
Figure 2. (a) Sectional view and (b) vertical view of measurement system model.
图 3 模拟测量原理模型
Figure 3. Model of the simulation measurement.
图 4 中子多重计数率分布图
Figure 4. Distribution of the neutron multiplicity counting rates.
图 5 增殖系数分布图
Figure 5. Distribution of the multiplication coefficient.
图 6 耦合系数
$ C $ 与增殖系数$ M $ 拟合函数Figure 6. Fitting function of the coupling coefficient
$ C $ and the multiplication coefficient$ M $ .
图 7 求解偏差分布图
Figure 7. Solution deviation distribution.
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[1] 高恒建, 邓峰 2016 俄罗斯研究 1 157
Google Scholar
Gao H J, Deng F 2016 Russian Studies 1 157
Google Scholar
[2] Bohnel K 1985 Nucl. Sci. Eng. 90 75
Google Scholar
[3] Miller M C, Biddle R S, Bourret S C, Byrd R C, Ensslin N, Feldman W C, Kuropatwinski J J, Longmire J L, Krick M S, Mayo D R 1999 Nucl. Instrum. Meth. A 422 89
Google Scholar
[4] 王勇 2019 博士学位论文 (上海: 上海师范大学)
Wang Y 2019 Ph. D. Dissertation (Shanghai: Shanghai Normal University) (in Chinese)
[5] Shin T H, Hua M Y, Fulvio A D, Marcath M J, Pozzi S A 2017 Institute of Nuclear Materials Management 58th Annual Meeting Indian Wells, California, USA, July 16–20, 2017 p1
[6] Zhang Q H, Yang J Q, Li X S, Li S F, Hou S X 2019 Appl. Radiat. Isotopes 152 45
Google Scholar
[7] Zhang Q H, Su X H, Hou S X, Li S F, Li J J 2020 J. Nucl. Sci. Technol. 2 1
Google Scholar
[8] 苏祥华, 张全虎, 侯素霞, 黎素芬, 霍勇刚, 庄琳, 侯林军 2020 现代应用物理 11 4
Google Scholar
Su X H, Zhang Q H, Hou S X, Li S F, Huo Y G, Zhuang L, Hou L J 2020 Modern Appl. Phys. 11 4
Google Scholar
[9] Hua M Y, Plummer T A, Hutchinson J D, Pozzi S A 2020 Nucl. Sci. Eng. 14 56
Google Scholar
[10] Hua M Y, Braden Goddard, Cody L, Pozzi S A 2019 Nucl. Sci. Eng. 8 11
Google Scholar
[11] Goddard B, Croft S, Lousteau A, Peerani P 2016 Nucl. Instrum. Methods Phys. Res. 830 256
Google Scholar
[12] Hao Z, Lin H, Liu G, Li J, Liang Q, Zhao Y 2015 Nucl. Instrum. Meth. A 797 70
Google Scholar
[13] Cifarelli D M, Hage W 1986 Nucl. Instrum. Meth. A 251 550
Google Scholar
[14] Di F A, Shin T H, Basley A, Swenson C, Sosa C, Clarke S D, Sanders J, Watson S, Pozzi S A 2018 Nucl. Instrum. Meth. A 907 248
Google Scholar
[15] [16] Andrea F, Croft S, Santi P 2015 Nucl. Instrum. Meth. A 795 370
Google Scholar
[17] Reilly D, Ensslin N, Smith H, Kreiner S 1991 Passive Nondestructive Assay of Nuclear Materials (Los Alamos National Laboratory, United States Nuclear Regulatory Commission) p117
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