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Noncharacteristic half-lives in radioactive decay
Corral Cano, Álvaro (Centre de Recerca Matemàtica)
Font Clos, Francesc (Centre de Recerca Matemàtica)
Camacho Castro, Juan (Universitat Autònoma de Barcelona. Departament de Física)

Data: 2011
Resum: Half-lives of radionuclides span more than 50 orders of magnitude. We characterize the probability distribution of this broad-range data set at the same time that we explore a method for fitting power laws and testing goodness-of-fit. It is found that the procedure proposed recently by Clauset et al. [SIAM Rev. 51, 661 (2009)] does not perform well as it rejects the power-law hypothesis even for power-law synthetic data. In contrast, we establish the existence of a power-law exponent with a value around 1. 1 for the half-life density, which can be explained by the sharp relationship between decay rate and released energy, for different disintegration types. For the case of alpha emission, this relationship constitutes an original mechanism of power-law generation.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: article ; recerca ; publishedVersion
Publicat a: Physical review. E : Statistical, nonlinear, and soft matter physics, Vol. 83, Number 6 (June 2011) , p. 066103/1-066103/7, ISSN 1539-3755

DOI: 10.1103/PhysRevE.83.066103

7 p, 1.7 MB

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