{
  "abstract": "We investigate neutrino flavor oscillations in the weak gravitational-lensing regime of a static, spherically symmetric black hole surrounded by perfect fluid dark matter (PFDM). Within a covariant quantum-mechanical framework, we derive the oscillation phases for radial and non-radial propagation of ultrarelativistic neutrinos. While the leading radial phase is independent of the metric function, non-radial trajectories acquire impact-parameter-dependent corrections governed by the PFDM parameter $λ$. We construct the flavor-transition probability for two coherent lensed paths and analyze the resulting interference in two and three flavor scenarios. Varying $λ$ shifts the oscillation extrema and modifies their amplitudes and contrast, with a non-monotonic dependence on the neutrino mass scale, lens mass, flavor channel, and mass ordering. The $P_{μτ}$ channel shows particularly strong sensitivity to the PFDM contribution for the considered configurations. Moreover, the path-interference terms retain information about the absolute neutrino mass scale. These results characterize PFDM-induced modifications of lensed neutrino oscillations and provide a basis for more realistic treatments including decoherence, averaging, detector resolution, and corrections to lens trajectories and magnifications.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.25053",
  "author_total": 6,
  "authors": [
    {
      "name": "Sojida Mannobova"
    },
    {
      "name": "Farruh Atamurotov"
    },
    {
      "name": "Ahmadjon Abdujabbarov"
    },
    {
      "name": "Phongpichit Channuie"
    },
    {
      "name": "Chengxun Yuan"
    },
    {
      "name": "Chen Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fkfm8x4jranf3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.25053",
  "fulltext_url": null,
  "id": "fkfm8x4jranf3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.25053",
  "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|Neutrino Physics Research"
    ]
  ],
  "openalex": "W7222997254",
  "pdf_url": "https://arxiv.org/pdf/2610.25053",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fkfm8x4jranf3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.25053",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.25053"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Gravitational lensing effects on neutrino oscillations around a Schwarzschild black hole immersed in perfect fluid dark matter",
  "title_text": "Gravitational lensing effects on neutrino oscillations around a Schwarzschild black hole immersed in perfect fluid dark matter",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/fkfm8x4jranf3",
  "venue": "arXiv",
  "versions": []
}