ONE-GROUP NEUTRON TRANSPORT EQUATION AND ANGULAR FLUX SEPARABILITY.

D. Shalitin*, J. J. Wagschal, Y. Yeivin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Conditions for the reduction of the time-independent neutron transport equation to an energy-independent (one-group) equation are discussed. It is shown that a meaningful reduction is equivalent to angular flux separability into a product of an energy spectrum and a spatial and angular function. It is proven that such a separability in a finite system is possible if and only if the total cross section is energy independent, provided some auxiliary conditions are met. The physical situations in which these conditions are satisfied and the similarity to the so-called first fundamental theorem of reactor theory are discussed.

Original languageAmerican English
Pages (from-to)243-248
Number of pages6
JournalNuclear Science and Engineering
Volume68
Issue number3
DOIs
StatePublished - 1978

Fingerprint

Dive into the research topics of 'ONE-GROUP NEUTRON TRANSPORT EQUATION AND ANGULAR FLUX SEPARABILITY.'. Together they form a unique fingerprint.

Cite this