{
  "abstract": "Inferring neutron star (NS) core properties remains sensitive to the assumed equation of state (EOS). Using a nonlinear Walecka model with generalized $ω$-meson self-interactions, we construct six EOS families, each containing $10^3$ samples subject to identical nuclear and astrophysical constraints. Despite satisfying these constraints, the families predict markedly different high-density behavior and core properties; higher-order $ω$ interactions can also generate interior sound-speed peaks within purely nucleonic matter. To reduce this model dependence, we use the intrinsic and perturbative analysis of the dimensionless Tolman--Oppenheimer--Volkoff equations (IPAD-TOV) to derive an EOS-independent estimator $Θ(\\rm{X},Ψ)$ of the central squared sound speed $s_{\\rm c}^2$, where $\\rm{X}=P_{\\rm c}/\\varepsilon_{\\rm c}$ is the central EOS-parameter and $Ψ$ characterizes the stellar-mass response to central energy density. For canonical $1.4\\,M_\\odot$ NSs, $Θ$ correlates linearly with $s_{\\rm c}^2$ across the families ($R^2\\approx0.94$-$0.99$). The family-dependent relations converge toward a common optimum: minimizing their dispersion yields $s_{\\rm c}^2\\approx 0.523\\pm0.044$ and $\\rm{X}\\approx 0.173^{+0.020}_{-0.018}$ for all six families, or $s_{\\rm c}^2\\approx 0.496\\pm0.092$ and $\\rm{X}\\approx 0.167^{+0.030}_{-0.029}$ when the family without $ω$ self-interaction is excluded. The corresponding radii are $11.73^{+1.08}_{-0.92}$ and $11.92^{+1.76}_{-1.28}\\,\\rm km$, respectively, with $95\\%$ confidence intervals. A unified scaling fitted to all EOS samples supports both extractions. These results show how common stellar-structure relations can constrain NS core properties with reduced EOS-model dependence, even when existing observations cannot distinguish among the underlying EOS descriptions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21806",
  "author_total": 3,
  "authors": [
    {
      "name": "Jian-Hao Shi"
    },
    {
      "name": "Bao-Jun Cai"
    },
    {
      "name": "Yu-Gang Ma"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/18njdek5geaee.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21806",
  "fulltext_url": null,
  "id": "18njdek5geaee",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21806",
  "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",
      "astro-ph.HE"
    ],
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "arxiv",
      "nucl-th"
    ],
    [
      "openalex",
      "3103|Pulsars and Gravitational Waves Research"
    ]
  ],
  "openalex": "W7222653224",
  "pdf_url": "https://arxiv.org/pdf/2610.21806",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/18njdek5geaee.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2610.21806",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21806"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.HE",
      "subfield": "high-energy-astrophysics"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    }
  ],
  "title": "Extracting the Central Sound Speed of Neutron Stars through Intrinsic Stellar Structure Scaling with Reduced Equation-of-State Model Dependence",
  "title_text": "Extracting the Central Sound Speed of Neutron Stars through Intrinsic Stellar Structure Scaling with Reduced Equation-of-State Model Dependence",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:50Z",
  "url": "https://research.draconitic.com/paper/18njdek5geaee",
  "venue": "arXiv",
  "versions": []
}