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

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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… Click to show full 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.

Keywords: description decay; poisson distribution; sub poisson; distribution

Journal Title: Bulletin of the Russian Academy of Sciences: Physics
Year Published: 2018

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