Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-04-19
Mod.Phys.Lett.A24:3275-3282,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 latex pages, 4 figures, final version in journal publication
Scientific paper
10.1142/S0217732309031223
A phenomenological law, called Benford's law, states that the occurrence of the first digit, i.e., $1,2,...,9$, of numbers from many real world sources is not uniformly distributed, but instead favors smaller ones according to a logarithmic distribution. We investigate, for the first time, the first digit distribution of the full widths of mesons and baryons in the well defined science domain of particle physics systematically, and find that they agree excellently with the Benford distribution. We also discuss several general properties of Benford's law, i.e., the law is scale-invariant, base-invariant, and power-invariant. This means that the lifetimes of hadrons follow also Benford's law.
Ma Bo-Qiang
Shao Lijing
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