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Liu, XJ, Zhang, XP, Ni, DD and Ren, ZZ (2011)

Benford’s law and cross-sections of A(n,α)B reactions

European Physical Journal A: Hadrons and Nuclei, 47(6), p. 78.

ISSN/ISBN: Not available at this time. DOI: 10.1140/epja/i2011-11078-3

Abstract: Benford’s law, also called the first-digit law, states that in lists of numbers from many quite disparate databases, the leading digit is distributed in a non-uniform but actually logarithmic way. We have investigated the first-digit distribution of experimental cross-sections of A(n, 𝛼)B reactions. In the case of below-barrier 𝛼-particle emission from compound nucleus, it is found that the (n, 𝛼 ) reaction cross-sections approximately follow the first-digit distribution indicated by Benford’s law. The origin of this first-digit distribution is discussed within the framework of the statistical model. In addition, Benford’s law is used to test the evaluated cross-sections of A(n, 𝛼)B reactions.

@Article{, author="Liu, X. J. and Zhang, X. P. and Ni, D. D. and Ren, Z. Z.", title="Benford's law and cross-sections of A(n,{\$} {\backslash}alpha{\$})B reactions", journal="The European Physical Journal A", year="2011", month="Jun", day="16", volume="47", number="6", pages="78", issn="1434-601X", doi="10.1140/epja/i2011-11078-3", url="" }

Reference Type: Journal Article

Subject Area(s): Physics