Statistical Description for the Decay of an Ensemble of Emitter Nuclei in the Context of a Sub-Poisson Distribution

Abstract

A new formalism that combines the simplicity of the mathematical apparatus of the Poisson distribution and a correct description of the decay of the last nucleus of a system in a binomial distribution is proposed, based on Poisson and binomial distributions. The mathematical apparatus of the model for the creation and death of particles in a sub-Poisson distribution is presented, along with the results from comparing descriptions of the radioactive decay of nuclei using Poisson, binomial, and sub-Poisson distributions for a medium based on uranium-235.