The atomic ionization, capture, and stopping cross sections by multicharged ions satisfy the Benford law
Abstract
The applicability of the Benford law for different data sets of atomic cross sections by ion impact is studied. We find that the data sets corresponding to theoretical ionization and capture cross sections of neutral targets by multicharged ions satisfy quite well the Benford law, not only for the first digits but also within a given order of magnitude. Experimental stopping power values from the International Atomic Energy Agency database were also scrutinized, but in this case the Benford conformity was not so satisfactory due to its small rank width. In all cases, errors, densities of prime numbers, and theorems of Nigrini and Pinkham are evaluated and discussed.
 Publication:

arXiv eprints
 Pub Date:
 June 2021
 arXiv:
 arXiv:2106.06099
 Bibcode:
 2021arXiv210606099M
 Keywords:

 Physics  Atomic Physics
 EPrint:
 17 pages, 1 table, 4 figure