ON THE THEORY OF PROMPT-DECAY CONSTANTS AND CORRELATED SPECTRA IN MULTIPLYING MEDIA. PART I

Journal Article · Sat Feb 01 04:00:00 EST 1964 · Nukleonik (West Germany) Discontinued with vol. 12

OSTI ID:4010659

Joest, K -H

The problem of decaying eigenstates in a multiplying slab system was investigated in the B/sub 0/-approximation. The problem of a correlation between the eigenvalue s and the static value of k/sub eff/ was analyzed by an s- expansion. The general analysis of the prompt decay constant was performed in the usual manner by a B/sup 2/-series expansion. The integral equations for the spectrum and the integral representations of the eigenvalue were established for the different orders of B/sup 2/. For non-multiplying and 1/vabsorbing media the formulas of M. Nelkin were arrived at. For infinite-multiplying media the prompt decay constant can be regarded as the difference between total loss probability and total prompt production probability. The second order coefficient, which is closely related to the diffusion properties in non-multiplying media, appears to be changed by the explicit dependence on fission properties. (auth)

• Research Organization: Entwicklungsabteilung der Interatom, Bensberg, Ger.
• NSA Number: NSA-18-021149
• OSTI ID: 4010659
• Journal Information: Nukleonik (West Germany) Discontinued with vol. 12, Journal Name: Nukleonik (West Germany) Discontinued with vol. 12 Vol. Vol: 6; ISSN NUKKA
• Country of Publication: Country unknown/Code not available
• Language: German

Related Subjects

ABSORPTION
DECAY
DIFFERENTIAL EQUATIONS
DIFFUSION
EIGENVALUES
ENERGY LEVELS
LOSSES
MATHEMATICS
MULTIPLICATION FACTORS
NEUTRONS
NUMERICALS
PHYSICS
PLATES
PROBABILITY
PRODUCTION
SPECTRA
STATISTICS