{
  "abstract": "We consider a coupled fractional Schrödinger system with trapping potentials under a total-mass constraint, in which both the intraspecies and the interspecies interactions are attractive. For every fractional order $s\\in(0,1)$ and dimension $N\\ge1$, we obtain a complete classification of the existence and non-existence of minimizers: minimizers exist if and only if both intraspecies coefficients lie below the single-component critical mass and the interspecies coupling coefficient lies below an explicit critical threshold $β^*$, and no minimizer exists otherwise. The threshold $β^*$ is characterized by means of an auxiliary intensity function, which yields a lower bound for the energy functional without invoking a new coupled Gagliardo--Nirenberg inequality. As the coupling coefficient approaches $β^*$, we analyze the concentration behavior. In the one-dimensional half-Laplacian case, the two components are shown to blow up at a common zero of the trapping potentials and, after rescaling, to converge to the same fractional ground-state profile, with the mass ratio determined explicitly by the intraspecies coefficients and the critical mass. For polynomial trapping potentials whose flattest common zero has order $q_0\\in(0,1)$, the sharp blow-up rate is established, and both components concentrate simultaneously at the flattest common minimum.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00520",
  "author_total": 2,
  "authors": [
    {
      "name": "Lijun Liu"
    },
    {
      "name": "Jiabin Zuo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4j88394656y3h.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00520",
  "fulltext_url": null,
  "id": "4j88394656y3h",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00520",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00520",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4j88394656y3h.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.00520",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00520"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Ground States of a Coupled Fractional Schrödinger System under a Total-Mass Constraint: Complete Classification and Concentration Behavior",
  "title_text": "Ground States of a Coupled Fractional Schrödinger System under a Total-Mass Constraint: Complete Classification and Concentration Behavior",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/4j88394656y3h",
  "venue": "arXiv",
  "versions": []
}