Analytic Model for Dead Time Effect in Neutron Multiplicity Counting

Neutron Multiplicity Counting (NMC) measurements are often effected by the de- tection system dead time. Still, dead time losses are often neglected in analytic NMC models, and most of the dead time corrections are done through empirical models, experimentally fitted to the measurement system. In the present paper, we introduce a new analytic model for calculating the effect of a system dead time on the outcome of neutron multiplicity counting. The model is subjected to two assumptions (in addition to the standard model assump- tions in multiplicity counting): the first is that the dead time can be be described by a paralyzable model, and the second is that dead time effect may only occur between neutrons arriving from the same source event. The second assumption is, eventually, a restriction on the source rate in the measured sample.