{
  "abstract": "In the whole space of low spatial dimensions, namely $d \\leq 2$, we study the minimizers of an energy functional with an attractive cubic nonlinearity and a repulsive quintic nonlinearity, which describes a quantum Bose gas with a two-body attraction and a three-body repulsion. We prove the existence of minimizers at fixed effective statistics parameter. In the limit of a large effective statistics parameter of the mass-critical nonlinearity (with respect to the kinetic energy), we derive an effective Thomas-Fermi-like model for the homogeneous Bose gas. We also consider other limit regimes depending on the mass-critical nonlinearity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Vietnam Journal of Mathematics (2026)",
  "arxiv": "2608.29876",
  "author_total": 2,
  "authors": [
    {
      "name": "Thi Anh Thu Doan"
    },
    {
      "name": "Dinh-Thi Nguyen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4k0na6vwsayzj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29876",
  "fulltext_url": null,
  "id": "4k0na6vwsayzj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29876",
  "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",
      "cond-mat.quant-gas"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2608.29876",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4k0na6vwsayzj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.29876",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29876"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "amo"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Local Density Approximation and Other Limit Regimes for a Homogeneous Bose Gas with Repulsive Three-Body Interactions in Low-Dimensional Space",
  "title_text": "Local Density Approximation and Other Limit Regimes for a Homogeneous Bose Gas with Repulsive Three-Body Interactions in Low-Dimensional Space",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/4k0na6vwsayzj",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1007/s10013-026-00811-z",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}