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This content will become publicly available on March 1, 2026

Title: Irreducible three-loop vacuum-polarization correction in muonic bound systems
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 α 3 ( Z α ) 2 m r , where α is the fine-structure constant and m r is the reduced mass. Numerically, the energy corrections are found to be of the same order of magnitude as the largest of the order α 2 ( Z α ) 6 m r corrections, and are thus phenomenologically interesting. Our method of calculation eliminates numerical uncertainty encountered in other approaches. Published by the American Physical Society2025  more » « less
Award ID(s):
2308792 2110294
PAR ID:
10613830
Author(s) / Creator(s):
;
Publisher / Repository:
American Physical Society
Date Published:
Journal Name:
Physical Review D
Volume:
111
Issue:
5
ISSN:
2470-0010
Page Range / eLocation ID:
056016
Subject(s) / Keyword(s):
QED vacuum polarization atomic physics energy levels muonic ions muonic hydrogen muonic deuterium
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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