Bethe logarithm for the helium atom
Atomic Physics
2019-07-31 v2
Abstract
The Bethe logarithm for a large set of states of the helium atom is calculated with a precision of 12-14 significant digits. The numerical data is obtained for the case of infinite mass of a nucleus. Then we study the mass dependence and provide coefficients of the expansion, which allows us to calculate accurate values for the Bethe logarithm for any finite mass. An asymptotic expansion for the Rydberg states is analyzed and a high-quality numerical approximation is found, which ensures 7-8 digit accuracy for the , , and states of the helium atom.
Keywords
Cite
@article{arxiv.1905.08248,
title = {Bethe logarithm for the helium atom},
author = {Vladimir I. Korobov},
journal= {arXiv preprint arXiv:1905.08248},
year = {2019}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1203.1404