{
  "abstract": "We study how magnetic fields affect the onset of quark saturation, which limits the domain of applicability of a purely baryonic description. We consider matter composed of electrically neutral $ddu$ baryons, including neutron- and $Δ^0$-like states. Using a simple constituent-quark model, we compute the baryon wave functions and spectra in magnetic fields. The magnetic field polarizes the spin-flavor structure, compresses the internal wave function in the transverse direction, and strongly suppresses the transverse kinetic energy. From the baryon wave functions, we construct the one-body reduced density matrix and derive the corresponding single-quark distributions in longitudinal momentum and Landau-level space. We then use these distributions to evaluate quark occupation probabilities in an ideal baryon gas and determine the onset of quark saturation. At finite magnetic field in the $+z$-direction, the $d_\\downarrow$ quark in the lowest Landau level reaches saturation first. The resulting saturation density depends nonmonotonically on the magnetic-field strength: it decreases at weak fields and increases at stronger fields. This behavior reflects the competition between spin-flavor polarization, which promotes saturation, and transverse spatial squeezing, which delays saturation by broadening of the quark transverse momentum distribution.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.36316",
  "author_total": 1,
  "authors": [
    {
      "name": "Toru Kojo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7rq09kgydtr1n.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.36316",
  "fulltext_url": null,
  "id": "7rq09kgydtr1n",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.36316",
  "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",
      "hep-lat"
    ],
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "arxiv",
      "nucl-th"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7224112808",
  "pdf_url": "https://arxiv.org/pdf/2610.36316",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7rq09kgydtr1n.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2610.36316",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.36316"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.HE",
      "subfield": "high-energy-astrophysics"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    }
  ],
  "title": "Quark Saturation in Magnetized Pure Neutron Matter",
  "title_text": "Quark Saturation in Magnetized Pure Neutron Matter",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:50Z",
  "url": "https://research.draconitic.com/paper/7rq09kgydtr1n",
  "venue": "arXiv",
  "versions": []
}