{
  "abstract": "We present a systematic benchmark of the three-boson bound-state problem in momentum space, comparing one-dimensional (1D) spectator-amplitude, two-dimensional (2D) partial-wave, and three-dimensional (3D) vector-variable formulations. The benchmark controls the interaction representation by embedding the same finite partial-wave interaction space in each formulation, so that discrepancies reflect discretization, interpolation, and quadrature errors. This enables direct 1D--2D--3D comparisons for separable interactions, controlled 2D--3D tests for local interactions, and comparison with the full local interaction in the 3D vector-variable formulation. Binding energies agree at the $10^{-6}$~MeV level for the separable interactions. For the local interactions at $l_{\\rm max}=12$, the 2D--3D differences are $2.2\\times10^{-6}$~MeV for MT-V and $5.3\\times10^{-5}$~MeV for MT-IV. The 2D and 3D equations are also solved in both $t$-matrix-driven and bare-potential-driven forms, whose agreement validates the permutation geometry, quadrature, and interpolation. Fourier transforms to coordinate space yield consistent norm decompositions and spatial observables, providing an independent check of the momentum-space solutions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.05028",
  "author_total": 2,
  "authors": [
    {
      "name": "Wolfgang Schadow"
    },
    {
      "name": "Mohammadreza R. Hadizadeh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/31pcm10nkazwg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.05028",
  "fulltext_url": null,
  "id": "31pcm10nkazwg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.05028",
  "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",
      "nucl-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2606.05028",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/31pcm10nkazwg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2606.05028",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.05028"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    }
  ],
  "title": "Numerical study of the three-boson bound-state problem in partial-wave and vector-variable formulations",
  "title_text": "Numerical study of the three-boson bound-state problem in partial-wave and vector-variable formulations",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:17Z",
  "url": "https://research.draconitic.com/paper/31pcm10nkazwg",
  "venue": "arXiv",
  "versions": []
}