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Nuclear Science and Engineering Volume 197, 2023 - Issue 9: Selected papers from the 27th International Conference on Transport Theory (ICTT27)
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Research Articles

Neutron Multiplicity Counting Distribution Reconstruction from Moments Using Meixner Polynomial Expansion and N-Forked Branching Approximations

Philippe HumbertCEA/DAM, Ile-de-France, Bruyères-le-Châtel, 91297Arpajon, FranceCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-4404-166X
ORCID Icon
Pages 2356-2372 | Received 05 Oct 2022, Accepted 21 Dec 2022, Published online: 08 Mar 2023

References

  • R. E. UHRIG, Random Noise Techniques in Nuclear Reactor Systems, Ronald Press, New York (1970).
  • I. PAZSIT and L. PÁL, Neutron Fluctuations, a Treatise on the Physics of Branching Processes, Elsevier, Oxford, United Kingdom (2008).
  • K. BÖHNEL, “The Effect of Multiplication on the Quantitative Determination of Spontaneously Fissioning Isotopes by Neutron Correlation Analysis,” Nucl. Sci. Eng., 90, 1, 75 (1985); https://doi.org/10.13182/NSE85-2.
  • R. P. FEYNMAN, F. DE HOFFMANN, and R. SERBER, “Dispersion of the Neutron Emission in U-235 Fission,” J. Nucl. Eng., 3, 64 (1956); https://doi.org/10.1016/0891-3919(56)90042-0.
  • M. K. PRASAD and N. J. SNYDERMAN, “Statistical Theory of Fission Chains and Generalized Poisson Neutron Counting Distributions,” Nucl. Sci. Eng., 172, 3, 300 (1985); https://doi.org/10.13182/NSE11-86.
  • J. VERBEKE, “Neutron Multiplicity Counting: Credible Regions for Reconstruction Parameters,” Nucl. Sci. Eng., 182, 4, 481 (2016); https://doi.org/10.13182/NSE15-35.
  • L. PÁL, “Statistical Theory of Neutron Chain Reactions I, II, III,” Acta Phys. Hung., 14, 4, 345 (1962).
  • V. G. ZOLOTUKHIN and I. MOGILNER, “The Distribution of Neutron Counts from a Detector Placed in a Reactor,” Atomnaya Energiya, 10, 4, 379 (1961).
  • G. I. BELL, “Probability Distribution of Neutrons and Precursors in a Multiplying Assembly,” Ann. Phys., 21, 2, 243 (1963); https://doi.org/10.1016/0003-4916(63)90108-8.
  • D. BABALA, “Neutron Counting Statistics in Nuclear Reactors,” KR-114, Institutt for Atomenergi (1966).
  • N. PACILIO, “The Pólya Model and the Distribution of Neutrons in a Steady State Reactor,” Nucl. Sci. Eng., 26, 4, 565 (1966); https://doi.org/10.13182/NSE66-A18430.
  • N. PACILIO and V. M. JORIO, “Discrete Probability Distributions in Nuclear Reactor Theory,” Ann. Nucl. Energy, 2, 2–5, 89 (1975); https://doi.org/10.1016/0306-4549(75)90008-0.
  • J. R. MOUSSA and A. K. PRINJA, “Reconstruction of Neutron Multiplicity Distributions from Low-Order Statistical Information, ” Nucl. Instrum. Methods Phys. Res. A., 1044, 167429 (2022); https://doi.org/10.1016/j.nima.2022.167429.
  • A. F. NIKIFOROV, S. K. SUSLOV, and V. B. UVAROV, Classical Orthogonal Polynomials of a Discrete Variable, Springer-Verlag (1991).
  • L. PÁL, “On the Theory of Stochastic Processes in Nuclear Reactors,” Il Nuovo Cimento, 7, S1, 25 (1958); https://doi.org/10.1007/BF02725086.
  • G. I. BELL, “On the Stochastic Theory of Neutron Transport,” Nucl. Sci. Eng., 21, 3, 390 (1965); https://doi.org/10.13182/NSE65-1.
  • H. H. PANJER, “Recursive Evaluation of a Family of Compound Distributions,” ASTIN Bull., 12, 1, 22 (1981); https://doi.org/10.1017/S0515036100006796.
  • T. ENDO et al., “Theoretical Derivation of a Unique Combination Number Hidden in the Higher Order Neutron Correlation Factors Using the Pál-Bell Equation,” Nucl. Sci. Eng., 197, 176 (2022); https://doi.org/10.1080/00295639.2022.2049992.
  • J. TERRELL, “Distribution of Fission Neutron Numbers,” Phys. Rev. C, 1, 783 (1957); https://doi.org/10.1103/PhysRev.108.783.
  • M. SOLEILHAC et al., “Energy Dependence of vp for Neutron-Induced Fission of 235U, 238U and 239Pu from1.3 to 15 MeV,” J. Nucl. Eng., 23, 5, 257 (1969); https://doi.org/10.1016/0022-3107(69)90060-4.
  • J. P. LESTONE, “Energy and Isotope Dependence of Neutron Multiplicity Distributions,” LA-UR-05-0288, Los Alamos National Laboratory (2005); https://doi.org/10.48550/arXiv.1409.5346.

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