Neutron Signal Multiplet Analysis for the Mass Determination of Spontaneous Fission Isotopes

A mathematical model is derived for correlated neutron signal multiplets. These multiplets are expressed as functions of the spontaneous fission rate, of the neutron detection probability, of the probability that a neutron generates a fast fission, and of nuclear data expressing fission neutron emission probabilities. For the moments of the correlated multiplets, simple analytical expressions are obtained with the assumption of an exponential detector response function. These moments permit multiparameter determination.