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Conservation of neutrons in time-dependent slowing down

Journal Article · · Nuclear Science and Engineering; (USA)
OSTI ID:5199541
 [1]
  1. California Institute of Technology, The Thomas J. Watson, Sr., Labs. of Applied Physics 128-95 Pasadena, CA (US)

The time-dependent slowing down of neutrons in noncapturing media depends in an important way on how the energy-dependent mean-free-time between scatterings behaves as E ,q 0. For example, if the mean-free-time decreases, i.e., v{Sigma}/sub s/ increases, as any positive power of E, the integrated density of neutrons does not remain constant in time. This anomalous behavior is discussed, noting both analogies in other physical processes and early references to the phenomenon of non-conservation. The analysis uses some unfamiliar solutions for slowing down in hydrogen, when the cross section has power-law variation; however, the general discussion is not limited to the equal mass case.

OSTI ID:
5199541
Journal Information:
Nuclear Science and Engineering; (USA), Journal Name: Nuclear Science and Engineering; (USA) Vol. 102:1; ISSN 0029-5639; ISSN NSENA
Country of Publication:
United States
Language:
English