Bethe logarithm for the helium atom

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 are obtained for the case of infinite mass of a nucleus. Then we study the mass dependence and provide coefficients of the me/M 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 S, P, and D states of the helium atom. © 2019 American Physical Society.

Authors
Korobov V.I. 1, 2
Journal
Physical Review A
Publisher
American Physical Society
Number of issue
1
Language
English
Status
Published
Link
External link
DOI
10.1103/PhysRevA.100.012517
Number
012517
Volume
100
Year
2019
Organizations
  • 1 Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, 141980, Russian Federation
  • 2 Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Keywords
Expansion; Helium; Asymptotic expansion; Finite mass; Helium atom; High quality; Infinite mass; Numerical approximations; Numerical data; Significant digits; Atoms
Date of creation
24.12.2019
Date of change
24.12.2019
Short link
https://repository.rudn.ru/en/records/article/record/55135/
Share

Other records