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arxiv: 1105.0750 · v1 · pith:J65IB7PQnew · submitted 2011-05-04 · ⚛️ physics.plasm-ph · math-ph· math.MP· nucl-ex

On the Feynman-alpha formula for fast neutrons

classification ⚛️ physics.plasm-ph math-phmath.MPnucl-ex
keywords feynman-alphaformulatheorybranchingcompoundcontributionderivedenergy
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In this contribution, a stochastic theory for a branching process in a neutron population with two energy levels is investigated. In particular, a variance to mean or Feynman-alpha formula is derived in this generalized scenario using the Kolmogorov forward or master equation theory for the probabilities in a system with a compound Poisson source.

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