{
  "abstract": "Bose--Einstein femtoscopy probes the spatiotemporal geometry of the particle-emitting source in heavy-ion collisions, where experimental data favor a Lévy-stable source description. We compare four approaches for extracting 3D Lévy source parameters using $π^+π^+$ pairs from EPOS3-simulated Au+Au collisions at $\\sqrt{s_{\\text{NN}}} = 200\\text{ GeV}$: direct fits to the pair-source distribution $D(\\boldsymbolρ)$, and fits to the two-particle correlation function $C(\\boldsymbol{q})$ obtained via (i) the CRAB package, (ii) direct numerical integration of $D(\\boldsymbolρ)$, and (iii) fast Fourier transformation (FFT). On an identical momentum grid, numerical integration and FFT are analytically identical and numerically equivalent ($\\text{RMSE} < 10^{-14}$), while FFT reduces the computation time from hours to seconds. We extract the transverse-mass dependence of the Lévy radii, Lévy index $α$, and correlation strength $λ$ in $0\\text{--}10\\,\\%$ central collisions. All methods reproduce the same physical trends, but CRAB results fluctuate due to event pooling, and correlation-function fits deviate systematically from direct source fits, e.g., with $\\sim 7\\text{--}9\\,\\%$ lower $α$. These deviations may reflect residual non-Lévy features of the source, probed differently in coordinate and momentum space, and the comparison of event-averaged parameters with fits to the ensemble-accumulated source, a mixture of Lévy distributions with lower effective $α$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.08069",
  "author_total": 3,
  "authors": [
    {
      "name": "Máté Szilágyi"
    },
    {
      "name": "Máté Csanád"
    },
    {
      "name": "Dániel Kincses"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ea24kq32pdmv9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.08069",
  "fulltext_url": null,
  "id": "ea24kq32pdmv9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.08069",
  "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",
      "nucl-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.08069",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ea24kq32pdmv9.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:30Z",
      "native_id": "2611.08069",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.08069"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    }
  ],
  "title": "Comparison of Methods for Extracting Three-Dimensional Lévy Source Parameters in $\\sqrt{s_{\\text{NN}}} = 200\\text{ GeV}$ Au+Au Collisions with EPOS3",
  "title_text": "Comparison of Methods for Extracting Three-Dimensional Lévy Source Parameters in √(s_NN) = 200 GeV Au+Au Collisions with EPOS3",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:30Z",
  "url": "https://research.draconitic.com/paper/ea24kq32pdmv9",
  "venue": "arXiv",
  "versions": []
}