{
  "abstract": "Hadronic decay channels can provide direct information on the momentum-space structure of confined quark systems. We investigate this possibility in the $ψ(4040)$--$ψ(4160)$ system using an instantaneous Bethe--Salpeter (BS) framework combined with a relativistic $^3P_0$ decay model. The BS solutions yield nearby bare $3\\,^3S_1$ and $2\\,^3D_1$ states at 4051 and 4110 MeV, respectively, whose opposite displacements from the physical vector states motivate an effective two-state level-repulsion description. By comparing the matched open-charm channels $D\\bar D$, $D\\bar D^*+{\\rm c.c.}$, $D_s\\bar D_s$, and $D_s\\bar D_s^*+{\\rm c.c.}$ with the same leading $P$-wave threshold behavior, we show that channel-dependent overlap kernels act as momentum-space nodal filters. At $M=4146$ MeV, the $PV/PP$ width ratio is 0.253 in the nonstrange sector but 1.63 in the strange sector, reversing the ordering expected from phase space alone. The momentum-resolved amplitudes reveal that different channels weight opposite sides of the same $2D$ nodal region differently, leading to distinct cancellation patterns and a common recoil condition, $P_f\\simeq0.775$ GeV, for charge-resolved $D\\bar D^*$ amplitude zeros. These results establish open-charm decays as a probe of momentum-space wave-function structures in heavy quarkonium.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.06377",
  "author_total": 1,
  "authors": [
    {
      "name": "Bing-Dong Wan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2e7ecwszfzkks.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.06377",
  "fulltext_url": null,
  "id": "2e7ecwszfzkks",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.06377",
  "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": "W7212001307",
  "pdf_url": "https://arxiv.org/pdf/2609.06377",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2e7ecwszfzkks.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2609.06377",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.06377"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    }
  ],
  "title": "Nodal filtering in open-charm decays of the $ψ(4040)$--$ψ(4160)$ system",
  "title_text": "Nodal filtering in open-charm decays of the ψ(4040)--ψ(4160) system",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:48Z",
  "url": "https://research.draconitic.com/paper/2e7ecwszfzkks",
  "venue": "arXiv",
  "versions": []
}