### 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.

**Bibtex:**

```
@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="https://doi.org/10.1140/epja/i2011-11078-3"
}
```

**Reference Type:** Journal Article

**Subject Area(s):** Physics