Variational correction to the FERMI beam solution

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We consider the time-independent, monoenergetic searchlight problem for a purely scattering, homogeneous slab with a pencil beam of nuclear particles impinging upon one surface. The scattering process is assumed sufficiently peaked in the forward direction so that the Fokker-Planck differential scattering operator can be used. Further, the slab is assumed sufficiently thin so that backscattering is negligibly small. Generally, this problem is approximated by the classic Fermi solution. A number of modifications of Fermi theory, aiming at improved accuracy, have been proposed. Here, we show that the classic Fermi solution (or any approximate solution) can I be improved via a ... continued below

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4 p.

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Su, Bingjing & Pomraning, G.C. October 1, 1996.

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Description

We consider the time-independent, monoenergetic searchlight problem for a purely scattering, homogeneous slab with a pencil beam of nuclear particles impinging upon one surface. The scattering process is assumed sufficiently peaked in the forward direction so that the Fokker-Planck differential scattering operator can be used. Further, the slab is assumed sufficiently thin so that backscattering is negligibly small. Generally, this problem is approximated by the classic Fermi solution. A number of modifications of Fermi theory, aiming at improved accuracy, have been proposed. Here, we show that the classic Fermi solution (or any approximate solution) can I be improved via a variational formalism.

Physical Description

4 p.

Notes

INIS; OSTI as DE96014039

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  • Winter meeting of the American Nuclear Society (ANS) and the European Nuclear Society (ENS), Washington, DC (United States), 10-14 Nov 1996

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  • Other: DE96014039
  • Report No.: LA-UR--96-1896
  • Report No.: CONF-961103--13
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 385563
  • Archival Resource Key: ark:/67531/metadc676219

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • October 1, 1996

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  • July 25, 2015, 2:20 a.m.

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  • March 1, 2016, 2:17 p.m.

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Su, Bingjing & Pomraning, G.C. Variational correction to the FERMI beam solution, article, October 1, 1996; New Mexico. (digital.library.unt.edu/ark:/67531/metadc676219/: accessed October 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.