{
  "abstract": "Background: In chiral perturbation theory (ChPT), heavy degrees of freedom are integrated out, with their contributions absorbed into low-energy constants. Keeping the $ρ$ and $ω$ explicit within ChPT retains the finite-range momentum dependence associated with these mesons. Purpose: We study how explicit $ρ$ and $ω$ mesons affect peripheral $NN$ phase shifts. Methods: We incorporate the vector mesons by counting their masses as hard and the momentum they carry as soft. The next-to-next-to-leading-order nuclear force includes, in addition to one- and two-pion exchange, one-vector-meson exchange with dressed propagators and vertex functions. The vector propagators and vertex functions are fixed from the mesonic sector and the nucleon electromagnetic form factors. We calculate neutron--proton scattering with $J=3$--$5$ up to $T_{\\rm lab}=300$ MeV and examine the sensitivity to one-pion-exchange iteration and the spectral-function regularization scheme. Results: The vector-meson contribution falls rapidly with $J$. In several $J=3$ waves it moves the phase shifts toward PWA93, while in other waves the change is small or moves the phase shift away. In ${}^{3}\\mathrm{G}_{3}$ the change toward PWA93 persists under variations of the spectral cutoff, and its size is nearly independent of the treatment of one-pion exchange. The ${}^{3}\\mathrm{D}_{3}$ wave is strongly cutoff dependent, and there the $ω$ contribution outweighs the opposing $ρ$ contribution. The tensor and spin-spin components of the $ρ$ interaction play the dominant roles in moving $ε_3$ and ${}^{1}\\mathrm{F}_{3}$ toward PWA93, respectively. Conclusions: The effect of the explicit vector mesons on the peripheral phase shifts is channel dependent. The $ρ$ meson gives the dominant shifts toward PWA93, particularly in $ε_3$ and ${}^{3}\\mathrm{G}_{3}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.27884",
  "author_total": 1,
  "authors": [
    {
      "name": "Tae-Sun Park"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bbj7ka0933chy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.27884",
  "fulltext_url": null,
  "id": "bbj7ka0933chy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.27884",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "nucl-th"
    ],
    [
      "openalex",
      "3106|Nuclear physics research studies"
    ]
  ],
  "openalex": "W7223135578",
  "pdf_url": "https://arxiv.org/pdf/2610.27884",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bbj7ka0933chy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2610.27884",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.27884"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    }
  ],
  "title": "Peripheral nucleon-nucleon scattering with explicit vector mesons in chiral perturbation theory",
  "title_text": "Peripheral nucleon-nucleon scattering with explicit vector mesons in chiral perturbation theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:04Z",
  "url": "https://research.draconitic.com/paper/bbj7ka0933chy",
  "venue": "arXiv",
  "versions": []
}