Convergence of legendre expansion of Doppler-broadened double-differential elastic scattering cross section

G. Arbanas, M. E. Dunn, N. M. Larson, L. C. Leal, M. L. Williams, B. Becker, R. Dagan

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations

Abstract

Convergence properties of Legendre expansion of a Doppler-broadened double-differential elastic neutron scattering cross section of 238U near the 6.67 eV resonance at temperature 103 K are studied. A variance of Legendre expansion from a reference Monte Carlo computation is used as a measure of convergence and is computed for as many as 15 terms in the Legendre expansion. When the outgoing energy equals the incoming energy, it is found that the Legendre expansion converges very slowly. Therefore, a supplementary method of computing many higher-order terms is suggested and employed for this special case.

Original languageEnglish
Title of host publicationInternational Conference on the Physics of Reactors 2012, PHYSOR 2012
Subtitle of host publicationAdvances in Reactor Physics
Pages2722-2731
Number of pages10
StatePublished - 2012
EventInternational Conference on the Physics of Reactors 2012: Advances in Reactor Physics, PHYSOR 2012 - Knoxville, TN, United States
Duration: Apr 15 2012Apr 20 2012

Publication series

NameInternational Conference on the Physics of Reactors 2012, PHYSOR 2012: Advances in Reactor Physics
Volume3

Conference

ConferenceInternational Conference on the Physics of Reactors 2012: Advances in Reactor Physics, PHYSOR 2012
Country/TerritoryUnited States
CityKnoxville, TN
Period04/15/1204/20/12

Keywords

  • Doppler broadening
  • Double-differential elastic scattering
  • Legendre moments
  • Resonance

Fingerprint

Dive into the research topics of 'Convergence of legendre expansion of Doppler-broadened double-differential elastic scattering cross section'. Together they form a unique fingerprint.

Cite this