{
  "abstract": "We study quasibound states of a massive charged Dirac field on the Einstein--Euler--Heisenberg (EEH) black hole, the extension of Reissner--Nordström (RN) by the leading weak-field vacuum-polarization term of QED. We derive the background to first order in the Euler--Heisenberg coupling $a$. We show that it admits a nondegenerate horizon at $Q=M$ and an extremal charge $Q_{\\rm ext}=M[1+a/(40M^2)+\\mathcal{O}(a^2)]>M$, with horizon data that depend on $\\sqrt a$ near extremality. From the separated radial equations, we derive an identity that excludes real-frequency quasibound states on any background of this class, so damped branches cannot become unstable. Since the EEH corrections first enter at $\\mathcal{O}(r^{-5})$ in the electrostatic potential, the trapping condition $Mμ^2-qQω_R>0$ and the hydrogenic spectrum coincide with RN, and no fine-structure-order splitting arises. Two-sided shooting with a Muller root finder shows that the real frequencies shift only by near-zone amounts that are linear in $a$ and strongly suppressed with angular momentum. The damping rates respond in a branch-dependent way. At $Q/M=0.99$ the $\\ell=0$ ground state becomes slightly longer-lived, while the $(n_r,j,\\ell,λ)=(0,\\tfrac32,1,-2)$ state decays up to $80\\%$ faster for $a/M^2\\le1$, and near the trapping threshold the damping rate increases by up to $60\\%$. Switching on the metric and potential corrections separately, together with a WKB analysis of the inner barrier, identifies the mechanisms: Coulomb screening always increases leakage, while the metric correction controls the sign and size of the $\\ell$-dependent effect. Characteristic time-domain evolutions with Richardson-extrapolated matrix-pencil extraction reproduce the frequency-domain shifts.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.17034",
  "author_total": 4,
  "authors": [
    {
      "name": "Nodirbek Anarboev"
    },
    {
      "name": "Javlonbek Khasanov"
    },
    {
      "name": "Javlon Rayimbaev"
    },
    {
      "name": "Bobomurat Ahmedov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dkgw9b4jydgbs.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.17034",
  "fulltext_url": null,
  "id": "dkgw9b4jydgbs",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.17034",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "openalex",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7221818214",
  "pdf_url": "https://arxiv.org/pdf/2610.17034",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dkgw9b4jydgbs.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2610.17034",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.17034"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Quasibound states of charged Dirac fields around Einstein-Euler-Heisenberg black holes",
  "title_text": "Quasibound states of charged Dirac fields around Einstein-Euler-Heisenberg black holes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/dkgw9b4jydgbs",
  "venue": "arXiv",
  "versions": []
}