Mass uncertainty in neutron multiplicity counting associated with the uncertainty on the fission multiplicity factorial moments

Since the inversion formula is non-linear, the error propagation from the multiplicity moments to the mass is also non-linear, and might have a very strong dependence on the sample parameters. In the present study, we formulate mathematical formulas that describe the error propagation from the factorial moments of the fission multiplicity to the mass, and implement the formulas to quantify the uncertainty in terms of the sample characteristics. For validation, the computational results are then compared with experimental results.