Abstract
The backward theory of stochastic transport is elaborated for thecase of subcritical systems with a source that emits more than oneparticle in each source emission event. Examples of such sources arespontaneous fission sources, such as 252Cf, and, moreimportant, spallation sources. Possible forms of the sourcedistribution describing e.g. a spallation source in a thin target arediscussed. The essence of the theory is the generalization of aformula due to Bartlett, connecting the probability distribution dueto a single particle, with that due to a continuous source, to thecase of multiple emission sources. From this formula, expressions arederived for first and second order moments of the particledistribution (or the detector count), induced by a multiple source,expressed as integrals over similar moments of the single-particleinduced distribution. These expressions are suitable for thecalculation of the Feynmann-alpha and Rossi-alpha formulae formultiple emission sources.
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