Abstract
Three-loop electronic vacuum-polarization corrections due to irreducible diagrams are evaluated for two-body muonic ions with nuclear charge numbers 1≤Z≤6. The corrections are of order α3(Zα)2mr, where α is the fine-structure constant and mr is the reduced mass. Numerically, the energy corrections are found to be of the same order of magnitude as the largest of the order α2(Zα)6mr corrections, and are thus phenomenologically interesting. Our method of calculation eliminates numerical uncertainty encountered in other approaches.
Recommended Citation
G. S. Adkins and U. D. Jentschura, "Irreducible Three-loop Vacuum-polarization Correction In Muonic Bound Systems," Physical Review D, vol. 111, no. 5, article no. 056016, American Physical Society, Mar 2025.
The definitive version is available at https://doi.org/10.1103/PhysRevD.111.056016
Department(s)
Physics
Publication Status
Open Access
International Standard Serial Number (ISSN)
2470-0029; 2470-0010
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2025 American Physical Society, All rights reserved.
Publication Date
01 Mar 2025
Comments
National Science Foundation, Grant PHY-2308792