{
  "abstract": "A massive fermion around a charged black hole provides a gravitational analogue of atomic bound states and their relaxation. In this work, we study this system by formulating the radial equation as a coupled matrix system and constructing the Green's function with ingoing boundary conditions at the horizon and decaying boundary conditions at infinity. In the weak-coupling scenario $|qQ|\\sim mM<1$, a matrix matching scheme gives an improved analytic expression of quasi-bound-state spectrum, including fine-structure corrections and more accurate decay widths. The extremal Reissner-Nordström case ($|Q|=M$) is treated separately and shown to be the smooth limiting result of the non-extremal spectrum. We further analyze the branch-cut contribution to the time-domain Green's function in the late-time limit. We confirm an oscillatory power-law behavior in intermediate late-time regime $1/m < t < 1/m^3M^2$. In the far late-time regime $t>1/m^3M^2$, the activation of the quasi-bound states produces an $t^{-5/6}\\exp(-ηt^{1/3})$ suppression with a chirping phase before the asymptotic $t^{-5/6}$ tail previously found in the limit $t\\to\\infty$. Direct time-domain simulations support this distinction and show how the quasi-bound contribution coexists with the familiar power-law component.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Phys. Rev. D 114 (2026) 8, 085005",
  "arxiv": "2607.08258",
  "author_total": 5,
  "authors": [
    {
      "name": "Guang-Shang Chen"
    },
    {
      "name": "Cheng-Bo Yang"
    },
    {
      "name": "Shou-Shan Bao"
    },
    {
      "name": "Yue-Liang Wu"
    },
    {
      "name": "Hong Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/93rvjwjt3bt33.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.08258",
  "fulltext_url": null,
  "id": "93rvjwjt3bt33",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.08258",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2607.08258",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/93rvjwjt3bt33.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2607.08258",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.08258"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Quasi-bound states and late-time evolution of a massive fermion around a Reissner-Nordström black hole",
  "title_text": "Quasi-bound states and late-time evolution of a massive fermion around a Reissner-Nordström black hole",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/93rvjwjt3bt33",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/k8s9-ct67",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}