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Title: Extension of the Dytlewski-style dead time correction formalism for neutron multiplicity counting to any order

Abstract

Here, neutron multiplicity counting using shift-register calculus is an established technique in the science of international nuclear safeguards for the identification, verification, and assay of special nuclear materials. Typically passive counting is used for Pu and mixed Pu-U items and active methods are used for U materials. Three measured counting rates, singles, doubles and triples are measured and, in combination with a simple analytical point-model, are used to calculate characteristics of the measurement item in terms of known detector and nuclear parameters. However, the measurement problem usually involves more than three quantities of interest, but even in cases where the next higher order count rate, quads, is statistically viable, it is not quantitatively applied because corrections for dead time losses are currently not available in the predominant analysis paradigm. In this work we overcome this limitation by extending the commonly used dead time correction method, developed by Dytlewski, to quads. We also give results for pents, which may be of interest for certain special investigations. Extension to still higher orders, may be accomplished by inspection based on the sequence presented. We discuss the foundations of the Dytlewski method, give limiting cases, and highlight the opportunities and implications that these newmore » results expose. In particular there exist a number of ways in which the new results may be combined with other approaches to extract the correlated rates, and this leads to various practical implementations.« less

Authors:
 [1]; ORCiD logo [2]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1372798
Alternate Identifier(s):
OSTI ID: 1495629
Report Number(s):
LA-UR-17-20319
Journal ID: ISSN 0168-9002; TRN: US1702545
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Nuclear Instruments and Methods in Physics Research. Section A, Accelerators, Spectrometers, Detectors and Associated Equipment
Additional Journal Information:
Journal Volume: 869; Journal Issue: C; Journal ID: ISSN 0168-9002
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; neutron coincidence counting; neutron multiplicity counting; dead time corrections

Citation Formats

Croft, Stephen, and Favalli, Andrea. Extension of the Dytlewski-style dead time correction formalism for neutron multiplicity counting to any order. United States: N. p., 2017. Web. doi:10.1016/j.nima.2017.06.032.
Croft, Stephen, & Favalli, Andrea. Extension of the Dytlewski-style dead time correction formalism for neutron multiplicity counting to any order. United States. https://doi.org/10.1016/j.nima.2017.06.032
Croft, Stephen, and Favalli, Andrea. Sun . "Extension of the Dytlewski-style dead time correction formalism for neutron multiplicity counting to any order". United States. https://doi.org/10.1016/j.nima.2017.06.032. https://www.osti.gov/servlets/purl/1372798.
@article{osti_1372798,
title = {Extension of the Dytlewski-style dead time correction formalism for neutron multiplicity counting to any order},
author = {Croft, Stephen and Favalli, Andrea},
abstractNote = {Here, neutron multiplicity counting using shift-register calculus is an established technique in the science of international nuclear safeguards for the identification, verification, and assay of special nuclear materials. Typically passive counting is used for Pu and mixed Pu-U items and active methods are used for U materials. Three measured counting rates, singles, doubles and triples are measured and, in combination with a simple analytical point-model, are used to calculate characteristics of the measurement item in terms of known detector and nuclear parameters. However, the measurement problem usually involves more than three quantities of interest, but even in cases where the next higher order count rate, quads, is statistically viable, it is not quantitatively applied because corrections for dead time losses are currently not available in the predominant analysis paradigm. In this work we overcome this limitation by extending the commonly used dead time correction method, developed by Dytlewski, to quads. We also give results for pents, which may be of interest for certain special investigations. Extension to still higher orders, may be accomplished by inspection based on the sequence presented. We discuss the foundations of the Dytlewski method, give limiting cases, and highlight the opportunities and implications that these new results expose. In particular there exist a number of ways in which the new results may be combined with other approaches to extract the correlated rates, and this leads to various practical implementations.},
doi = {10.1016/j.nima.2017.06.032},
journal = {Nuclear Instruments and Methods in Physics Research. Section A, Accelerators, Spectrometers, Detectors and Associated Equipment},
number = C,
volume = 869,
place = {United States},
year = {Sun Jul 16 00:00:00 EDT 2017},
month = {Sun Jul 16 00:00:00 EDT 2017}
}

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