PreprintCC BY 4.0arXiv
Nuclear recoil with electron vacuum polarization in muonic atoms
Abstract
Using the heavy-particle QED approach, we derive the last missing α (Zα)5 m2/M nuclear recoil correction in muonic atoms, which originates from the combination of the (Zα)5 m2/M recoil with the electron vacuum polarization. Numerical results are presented for the 1S, 2S, and 2P states of μH, μD, μ3He+, and μ4He+. For the 2P−2S Lamb shift in muonic helium ions, our results are of opposite sign and about four times smaller in magnitude than the previous logarithmic estimates.
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BibTeX
@misc{patkos2026nuclear,
title = {{Nuclear recoil with electron vacuum polarization in muonic atoms}},
author = {Vojtěch Patkóš and Mateusz Pańtak and Krzysztof Pachucki},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.06480},
eprint = {2611.06480},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.06480},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Nuclear recoil with electron vacuum polarization in muonic atoms
AU - Vojtěch Patkóš
AU - Mateusz Pańtak
AU - Krzysztof Pachucki
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.06480
UR - https://arxiv.org/abs/2611.06480
AB - Using the heavy-particle QED approach, we derive the last missing α (Zα)^5 m^2/M nuclear recoil correction in muonic atoms, which originates from the combination of the (Zα)^5 m^2/M recoil with the electron vacuum polarization. Numerical results are presented for the 1S, 2S, and 2P states of μH, μD, μ^3He^+, and μ^4He^+. For the 2P−2S Lamb shift in muonic helium ions, our results are of opposite sign and about four times smaller in magnitude than the previous logarithmic estimates.
ER -