{
  "abstract": "We consider the quadratic NLS system \\begin{equation*} \\begin{cases} i\\partial_tu+Δu=v\\bar{u},\\newline i\\partial_tv+κΔv=u^2, \\end{cases} \\qquad (t,x)\\in\\mathbb{R}\\times\\mathbb{R}^5, \\end{equation*} where $κ>0$. If $κ=1/2$, which is called mass resonance condition, then scattering below the ground state is shown by Hamano. Moreover, when $κ\\neq 1/2$, scattering of radial solutions is proved in Hamano--Inui--Nishimura (2021). In the present paper, we prove scattering below the ground state for $κ\\neq1/2$ without radial symmetry. Our proof is based on the concentration compactness and rigidity method by Kenig--Merle (2006). For the rigidity argument, following Pausader (2010), we use a localized virial argument in the direction orthogonal to the momentum.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.32364",
  "author_total": 2,
  "authors": [
    {
      "name": "Takahisa Inui"
    },
    {
      "name": "Kuranosuke Nishimura"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6jct4dr0m82wz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.32364",
  "fulltext_url": null,
  "id": "6jct4dr0m82wz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.32364",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2610|Advanced Mathematical Physics Problems"
    ]
  ],
  "openalex": "W7214766192",
  "pdf_url": "https://arxiv.org/pdf/2609.32364",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6jct4dr0m82wz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.32364",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.32364"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Scattering for the quadratic NLS system in $\\mathbb{R}^{5}$ without mass resonance or radial symmetry",
  "title_text": "Scattering for the quadratic NLS system in ℝ^5 without mass resonance or radial symmetry",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/6jct4dr0m82wz",
  "venue": "arXiv",
  "versions": []
}