Benford's Law and β-Decay Half-Lives

2059 β-decay 一半生活的试验性的价值系统地被分析并且调查。我们发现了他们在对 Benford 的法律的令人满意的同意，它声明各个的出现的频率出现， 1 9，在不同数据集合的一个令人惊讶地大的数字的第一重要的位跟随赞成更小的对数的分布。Benford β-decay 一半生活的对数的分发能以 Newcomb Benford 的法律的理由和 β-decay 一半生活的实验指数的法律被解释。而且，我们在 Benford 的法律的帮助下测试 6721 β-decay 一半生活的计算价值。这显示 Benford 的法律是有用的让理论物理学家为精明的 β-decay 一半生活测试他们的方法。

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 each figure, 1-9, as the first significant digit in a surprisingly large number of different data sets follows a logarithmic distribution favoring the smaller ones. Benford＇s logarithmic distribution of β-deeay half-lives can be explained in terms of Neweomb＇s justification of Benford＇s law and empirical exponential law of β-decay half-lives. Moreover, we test the calculated values of 6721 β-decay half-lives with the aid of Benford＇s law. This indicates that Benford＇s law is useful for theoretical physicists to test their methods for calculating β-decay half-lives.