{
  "abstract": "The mixed-mode trajectories arising from permutation-enforced $λ$-$ρ$ mode mixing are first investigated in the diquark picture. By accounting for the internal structure and substructure of baryons, we propose an approach to construct the mixed-mode Regge trajectories for baryons composed of three identical quarks. For triply heavy baryons $Ω_{ccc}$ and $Ω_{bbb}$, naive diquark-quark basis states without full permutation symmetrization violate the exchange symmetry required by the Pauli exclusion principle for three identical fermions; consequently, physical eigenstates arise as permutation-enforced $λ$-$ρ$ mode admixtures. Under the minimal-mixing assumption, we explicitly perform permutation symmetrization for the $J^{P}=(3/2)^{+}$ radially-excited S-wave states and construct mixed-mode Regge trajectory formulas for these symmetrized states. Unlike triply heavy baryons $Ω_{ccb}/Ω_{cbb}$ in the fixed diquark $(cc)b/(bb)c$ picture where well-defined pure $ρ$- and $λ$-trajectories exist, genuine pure-mode trajectories no longer survive for $Ω_{ccc}$ and $Ω_{bbb}$ due to permutation-driven cross-mode mixing. The resulting effective radial trajectories exhibit a novel sprouting-branch-like behavior. Both the original unmixed trajectories and the mixed-mode effective trajectories exhibit behavior of $M\\sim x^{2/3}$ (where $x=n_r,\\,N_r,\\,n_r+N_r$). Radially excited masses are crudely estimated via the mixed-mode Regge trajectories, which show reasonable agreement with existing theoretical predictions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07053",
  "author_total": 3,
  "authors": [
    {
      "name": "Jiao-Kai Chen"
    },
    {
      "name": "Xin-Ru Liu"
    },
    {
      "name": "Qi Liu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/eraxsyc4wxy74.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07053",
  "fulltext_url": null,
  "id": "eraxsyc4wxy74",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.07053",
  "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",
      "hep-ph"
    ],
    [
      "openalex",
      "3106|Quantum Chromodynamics and Particle Interactions"
    ]
  ],
  "openalex": "W7220941715",
  "pdf_url": "https://arxiv.org/pdf/2610.07053",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/eraxsyc4wxy74.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:22Z",
      "native_id": "2610.07053",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07053"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "$λ$-$ρ$ mode mixing and radial Regge trajectories for triply heavy baryons $Ω_{ccc}$ and $Ω_{bbb}$ in the diquark picture",
  "title_text": "λ-ρ mode mixing and radial Regge trajectories for triply heavy baryons Ω_ccc and Ω_bbb in the diquark picture",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:22Z",
  "url": "https://research.draconitic.com/paper/eraxsyc4wxy74",
  "venue": "arXiv",
  "versions": []
}