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The experimental values of 2059 β-decay half-lives are systematically analyzed and investigated.We havefound that they are in satisfactory agreement with Benford's law,which states that the frequency of occurrence ofeach figure,1-9,as the first significant digit in a surprisingly large number of different data sets follows a logarithmicdistribution favoring the smaller ones.Benford's logarithmic distribution of β-decay half-lives can be explained in termsof Newcomb's justification of Benford's law and empirical exponential law of β-decay half-lives.Moreover,we test thecalculated values of 6721 β-decay half-lives with the aid of Benford's law.This indicates that Benford's law is useful fortheoretical physicists to test their methods for calculating β-decay half-lives.
The experimental values of 2059 β-decay half-lives are systematically analyzed and investigated. We have found that they are in satisfactory agreement with Benford's law, which states that the frequency of occurrence of aeach figure, 1-9, as the first significant digit in a surprisingly large number of different data sets follows a logarithmicdistribution favoring the smaller ones. Benford's logarithmic distribution of β-decay half-lives can be explained in terms of newcomb's justification of Benford's law and empirical exponential law of β-decay half-lives.Moreover, we test thecalculated values of 6721 β-decay half-lives with the aid of Benford's law. This indicates that Benford's law is useful fortheoretical physicists to test their methods for calculating β-decay half-lives.