Addendum: Neutron Time Interval Distributions with Background Neutrons

Prasad, Manoj; Snyderman, Neal; Walston, Sean

doi:10.1080/00295639.2019.1618074

Title: Addendum: Neutron Time Interval Distributions with Background Neutrons

Abstract

Very careful examination indicated that two key formulas in our paper “Neutron Time Interval Distributions with Background Neutrons” had errors. Here, we revise here the derivation and results for the probability to obtain a count between T and T + ΔT following a trigger count when the neutrons come both from fission chains and either correlated backgrounds or an external random source, Eqs. (76) and (79).

Authors:

Prasad, Manoj ^[1]; Snyderman, Neal ^[1]; Walston, Sean ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Publication Date:: Thu May 30 00:00:00 EDT 2019

Research Org.:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1583042

Report Number(s):: LLNL-JRNL-757644
Journal ID: ISSN 0029-5639; 945277; TRN: US2101983

Grant/Contract Number:: AC52-07NA27344

Resource Type:: Accepted Manuscript

Journal Name:: Nuclear Science and Engineering

Additional Journal Information:: Journal Volume: 193; Journal Issue: 7; Journal ID: ISSN 0029-5639

Publisher:: American Nuclear Society - Taylor & Francis

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Prasad, Manoj, Snyderman, Neal, and Walston, Sean. Addendum: Neutron Time Interval Distributions with Background Neutrons.  United States: N. p., 2019. 
Web.  doi:10.1080/00295639.2019.1618074.

Copy to clipboard


                    Prasad, Manoj, Snyderman, Neal, & Walston, Sean. Addendum: Neutron Time Interval Distributions with Background Neutrons.  United States.  https://doi.org/10.1080/00295639.2019.1618074

Copy to clipboard


                    Prasad, Manoj, Snyderman, Neal, and Walston, Sean. Thu .  
"Addendum: Neutron Time Interval Distributions with Background Neutrons".  United States.  https://doi.org/10.1080/00295639.2019.1618074.  https://www.osti.gov/servlets/purl/1583042.

Copy to clipboard


                    
@article{osti_1583042,

  title        = {Addendum: Neutron Time Interval Distributions with Background Neutrons},

  author       = {Prasad, Manoj and Snyderman, Neal and Walston, Sean},

  abstractNote = {Very careful examination indicated that two key formulas in our paper “Neutron Time Interval Distributions with Background Neutrons” had errors. Here, we revise here the derivation and results for the probability to obtain a count between T and T + ΔT following a trigger count when the neutrons come both from fission chains and either correlated backgrounds or an external random source, Eqs. (76) and (79).},

  doi          = {10.1080/00295639.2019.1618074},

  journal      = {Nuclear Science and Engineering},

  number       = 7,

  volume       = 193,

  place        = {United States},

  year         = {Thu May 30 00:00:00 EDT 2019},

  month        = {Thu May 30 00:00:00 EDT 2019}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1080/00295639.2019.1618074

Other availability

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Time Interval Distributions and the Rossi Correlation Function
journal, May 2013

Prasad, M.; Snyderman, N.; Verbeke, J.
Nuclear Science and Engineering, Vol. 174, Issue 1
DOI: 10.13182/NSE11-87

Neutron Time Interval Distributions with Background Neutrons
journal, May 2017

Prasad, Manoj; Snyderman, Neal; Walston, Sean
Nuclear Science and Engineering, Vol. 186, Issue 3
DOI: 10.1080/00295639.2016.1273620

Similar Records in DOE PAGES and OSTI.GOV collections:

Time Evolving Fission Chain Theory and Fast Neutron and Gamma-Ray Counting Distributions

Journal Article Kim, K. S. ; Nakae, L. F. ; Prasad, M. K. ; ... - Nuclear Science and Engineering

Here, we solve a simple theoretical model of time evolving fission chains due to Feynman that generalizes and asymptotically approaches the point model theory. The point model theory has been used to analyze thermal neutron counting data. This extension of the theory underlies fast counting data for both neutrons and gamma rays from metal systems. Fast neutron and gamma-ray counting is now possible using liquid scintillator arrays with nanosecond time resolution. For individual fission chains, the differential equations describing three correlated probability distributions are solved: the time-dependent internal neutron population, accumulation of fissions in time, and accumulation of leaked neutronsmore »« less
Cited by 5
https://doi.org/10.13182/NSE14-120

Full Text Available
Neutron Time Interval Distributions with Background Neutrons

Journal Article Prasad, Manoj ; Snyderman, Neal ; Walston, Sean - Nuclear Science and Engineering

A single cosmic ray air shower event can produce multiple neutrons. The arrival times of neutron counts from such an event creates a clustering pattern distinctly different from random sources. A theory for the time interval distribution between neutron counts from both a correlated source and cosmic ray air showers is given and a method is developed to compute the probability distributions for a cosmic ray air shower to create detected neutrons.
https://doi.org/10.1080/00295639.2016.1273620

Full Text Available
Correlation analysis with neutron count distributions in randomly or signal triggered time intervals for assay of special fissile materials

Journal Article Hage, W ; Cifarelli, D M - Nucl. Sci. Eng.; (United States)

A mathematical model is derived for the probability distribution of neutron signal multiplets inside randomly and signal triggered time intervals for a generalized time response function of the neutron detector assembly. The theory is applied to assemblies with an exponential time decay of its neutron population. The probability distributions, their factorial moments, and moments are expressed as a function of the spontaneous fission rate, (..cap alpha..-n) reaction rate, neutron detection probability, probability that a neutron generates a fast fission, and nuclear data. Measurements with plutonium sample are analyzed to check the derived algorithms for the factorial moments of the twomore » probability distributions.« less
https://doi.org/10.13182/NSE85-8
An Evaluation of a Neutron Time Correlated Interrogation Method for Measurement of Fissile Content in Research Reactor Spent Fuel Assemblies

Technical Report Menlove, Howard Olsen ; Trahan, Alexis Chanel

There are many research reactors worldwide that have been, or are being converted from the use of high enrichment uranium (HEU) to low enrichment uranium (LEU, < 20% enriched). The verification of fissile content and initial enrichment of the spent fuel is needed for the effective safeguards of the fuel. The advanced experimental fuel counter (AEFC) was developed for the measurement of spent fuel rods and assemblies from research reactors for safeguards verification. This measurement system contains components for active neutron interrogation, passive neutron totals counting, neutron coincidence counting, and gross gamma-ray counting. This report presents the first application ofmore »« less
https://doi.org/10.2172/1716775

Full Text Available
MCNP6 Modification for the Calculation of Rossi and Feynman Distributions

Journal Article Talamo, A. ; Gohar, Y. - Transactions of the American Nuclear Society

The Rossi distribution is given by the number of captured neutron pairs as a function of the time interval between the two capture events. This distribution contains a random part, which is given by neutron captures caused by neutrons of different fission chains, and a correlated part, which is given by neutron captures caused by neutrons from the same fission chain. The correlated part exponentially vanishes with the {Delta}t time interval following the decay of prompt neutrons. The Rossi distribution peaks when the time interval between two capture events is small since this condition is satisfied for neutrons generated frommore »« less

Similar Records

Title: Addendum: Neutron Time Interval Distributions with Background Neutrons

Abstract

Citation Formats

Time Interval Distributions and the Rossi Correlation Function journal, May 2013

Neutron Time Interval Distributions with Background Neutrons journal, May 2017

Time Interval Distributions and the Rossi Correlation Function
journal, May 2013

Neutron Time Interval Distributions with Background Neutrons
journal, May 2017