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 from zero to "infinity" reactions. The number of neutron-producing reactions in a pulse is hereafter denoted by <math>n</math>. Being the number of neutron-producing reactions ''actually'' occurring per pulse, <math>n</math> 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 an individual neutron-producing reaction. The beam has a Bremsstrahlung end point of 10.5 MeV, energetically allowing only two possible neutron-producing interactions, 1n-knochout and photofission. Thus, <math>v_{i}</math> is the photofission neutron multiplicity, but with a | + | 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>. Being the number of neutron-producing reactions ''actually'' occurring per pulse, <math>n</math> 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 an individual neutron-producing reaction. The beam has a Bremsstrahlung end point of 10.5 MeV, energetically allowing only two possible neutron-producing interactions, 1n-knochout and photofission. Thus, <math>v_{i}</math> is the photofission neutron multiplicity, but with a larger <math>P(v_{i}=1)</math> from 1n-knockout events. In other words, a 1n-knockout event and a photo-fission event emitting exactly one neutron are considered identically. In viewing it this way, the analysis is simplified, but the end result is not changed since 1n-knockouts can only contribute to accidentals. |
Revision as of 18:17, 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 an individual neutron-producing reaction. The beam has a Bremsstrahlung end point of 10.5 MeV, energetically allowing only two possible neutron-producing interactions, 1n-knochout and photofission. Thus, is the photofission neutron multiplicity, but with a larger from 1n-knockout events. In other words, a 1n-knockout event and a photo-fission event emitting exactly one neutron are considered identically. In viewing it this way, the analysis is simplified, but the end result is not changed since 1n-knockouts can only contribute to accidentals.