Difference between revisions of "Theoretical analysis of 2n accidentals rates"

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[[Production Analysis | go_back]]
 
[[Production Analysis | go_back]]
 
==Introduction==
 
==Introduction==
Every individual photon pulse may cause any number of neutron-producing reactions, hereafter denoted by <math>n</math>, ranging form zero to "infinity". <math>n</math>, being the number of neutron-producing reactions ''actually'' occurring per pulse, is assumed to follow the Poissonian distribution as a limiting case of the binomial distribution. Each neutron-producing interaction produces <math>v_{i}</math> neutrons, where <math>v_{i}</math> is the distribution of the number of neutrons produced from a single given neutron-producing reaction. Since only two neutron-producing interactions are energetically possible in this experiment, <math>v_{i}</math> is simply the photo-fission neutron multiplicity plus a contribution from 1n-knockout events. In other words, 1n-knockout is considered an event with neutron multiplicity of one, and equivalently for a photo-fission event with a multiplicity of one.
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Every individual photon pulse may cause any number of neutron-producing reactions, hereafter denoted by <math>n</math>, ranging form zero to "infinity". <math>n</math>, being the number of neutron-producing reactions ''actually'' occurring per pulse, is assumed to follow the Poissonian distribution as a limiting case of the binomial distribution. Each neutron-producing interaction produces <math>v_{i}</math> neutrons, where <math>v_{i}</math> is the distribution of the number of neutrons produced from a single given neutron-producing reaction. Since only two neutron-producing interactions are energetically possible in this experiment, <math>v_{i}</math> is simply the photo-fission neutron multiplicity plus a contribution from 1n-knockout events. In other words, a 1n-knockout event and a photo-fission event emitting a single neutron are considered identical.

Revision as of 02:50, 9 January 2018

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Introduction

Every individual photon pulse may cause any number of neutron-producing reactions, hereafter denoted by [math]n[/math], ranging form zero to "infinity". [math]n[/math], being the number of neutron-producing reactions actually occurring per pulse, is assumed to follow the Poissonian distribution as a limiting case of the binomial distribution. Each neutron-producing interaction produces [math]v_{i}[/math] neutrons, where [math]v_{i}[/math] is the distribution of the number of neutrons produced from a single given neutron-producing reaction. Since only two neutron-producing interactions are energetically possible in this experiment, [math]v_{i}[/math] is simply the photo-fission neutron multiplicity plus a contribution from 1n-knockout events. In other words, a 1n-knockout event and a photo-fission event emitting a single neutron are considered identical.