Difference between revisions of "Theoretical analysis of 2n accidentals rates"
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[[Production Analysis | go_back]] | [[Production Analysis | go_back]] | ||
==Introduction== | ==Introduction== | ||
| − | A given photon pulse may cause multiple neutron-producing reactions, ranging | + | A given photon pulse may cause multiple neutron-producing reactions, ranging from zero to "infinity" reactions. The number of neutron-producing reactions in a pulse is hereafter denoted by <math>n</math>. <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. With a Bremsstrahlung end point of 10.5 MeV, the only energetically possible neutron-producing interactions are 1n-knochout and photofission, so <math>v_{i}</math> is simply the photofission neutron multiplicity with an added contribution from 1n-knockout events. In other words, a 1n-knockout event and a photo-fission event emitting a single neutron, are considered identically. In viewing it this way, the analysis is simplified, and the end result is not changed since 1n-knockouts can only contribute to accidentals. |
Revision as of 04:55, 9 January 2018
Introduction
A given photon pulse may cause multiple neutron-producing reactions, ranging from zero to "infinity" reactions. The number of neutron-producing reactions in a pulse is hereafter denoted by . , 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 neutrons, where is the distribution of the number of neutrons produced from a single given neutron-producing reaction. With a Bremsstrahlung end point of 10.5 MeV, the only energetically possible neutron-producing interactions are 1n-knochout and photofission, so is simply the photofission neutron multiplicity with an added contribution from 1n-knockout events. In other words, a 1n-knockout event and a photo-fission event emitting a single neutron, are considered identically. In viewing it this way, the analysis is simplified, and the end result is not changed since 1n-knockouts can only contribute to accidentals.