{
  "abstract": "Recently, a global analysis has been performed for longitudinal spin asymmetries in polarized deep inelastic scattering (DIS) processes, combining the polarized valence quark model with the large-$N_c \\& N_f$ helicity evolution equations. With a three-fold reduction in the number of free parameters, the valence quark model results in a six-fold reduction of uncertainty for the resulting prediction of total parton spin inside the proton, when compared to previous analysis performed with traditional moderate-$x$ model inspired by Born approximation. The fit based on valence quark model predicts a positive gluon hPDF and negative $g_1$ structure function at small $x$. However, the resulting increase in the $χ^2$-statistic of the fit warrants further examination into the physical uncertainty of the valence quark model, which is a work in progress. We also summarize other possibilities of future research directions towards the end of this article.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.16654",
  "author_total": 3,
  "authors": [
    {
      "name": "Yossathorn Tawabutr"
    },
    {
      "name": "Daniel Adamiak"
    },
    {
      "name": "Heikki Mäntysaari"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/609f7r3v5nz5k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.16654",
  "fulltext_url": null,
  "id": "609f7r3v5nz5k",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.16654",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "arxiv",
      "nucl-th"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7213424682",
  "pdf_url": "https://arxiv.org/pdf/2609.16654",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/609f7r3v5nz5k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:41Z",
      "native_id": "2609.16654",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.16654"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    }
  ],
  "title": "Constraining Proton Spin at Small $x$ with Valence Quark Model",
  "title_text": "Constraining Proton Spin at Small x with Valence Quark Model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:41Z",
  "url": "https://research.draconitic.com/paper/609f7r3v5nz5k",
  "venue": "arXiv",
  "versions": []
}