{
  "abstract": "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 $μ$H, $μ$D, $μ^3$He$^+$, and $μ^4$He$^+$. 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.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06480",
  "author_total": 3,
  "authors": [
    {
      "name": "Vojtěch Patkóš"
    },
    {
      "name": "Mateusz Pańtak"
    },
    {
      "name": "Krzysztof Pachucki"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2vzb6jxm630bb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06480",
  "fulltext_url": null,
  "id": "2vzb6jxm630bb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06480",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.atom-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06480",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2vzb6jxm630bb.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:20:56Z",
      "native_id": "2611.06480",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06480"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.atom-ph",
      "subfield": "amo"
    }
  ],
  "title": "Nuclear recoil with electron vacuum polarization in muonic atoms",
  "title_text": "Nuclear recoil with electron vacuum polarization in muonic atoms",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:20Z",
  "url": "https://research.draconitic.com/paper/2vzb6jxm630bb",
  "venue": "arXiv",
  "versions": []
}