{
  "abstract": "For the nonrelativistic three-body Coulomb Hamiltonian, near-threshold resonances of the deuterium--tritium muonic molecular ion ($dtμ$) are supported by the long-range dipole coupling between degenerate atomic $2s$ and $2p$ states. We study the effect of atomic $2s$--$2p$ splitting on their positions and decay widths. Three-body complex-absorbing-potential calculations resolve additional members of the $L^π=0^+$ and $1^-$ series. Their geometric spacing agrees with that expected from the $1/R^2$ dipole attraction, where $R$ is the atom--nucleus separation. To assess the effect of splitting, we scan a prescribed $2s$--$2p$ interval using an effective potential in a spin-independent, nonrelativistic Hamiltonian. This models the atomic splitting without an explicit Lamb-shift calculation. Within this model, the studied resonances lie closer to the $dμ(2s)+t$ threshold and have smaller Coulomb decay widths than in the degenerate case. At an effective interval of $0.2\\eV$, the seventh $1^-$ member lies within $2\\meV$ of this threshold with a full width of about $4\\meV$, compared with $48$ and $15.6\\meV$ at degeneracy. These values characterize the response within the tested numerical representations. Its width decreases, but its separation from the threshold decreases more strongly. The long-range analysis attributes these shifts and width reductions to modified dipole mixing. It further suggests that atomic $2s$--$2p$ splitting may truncate the infinite accumulation of resonances predicted for degenerate atomic $2s$ and $2p$ levels.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.11499",
  "author_total": 1,
  "authors": [
    {
      "name": "Yi Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c23anyxwdb9s8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.11499",
  "fulltext_url": null,
  "id": "c23anyxwdb9s8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.11499",
  "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",
      "physics.atom-ph"
    ],
    [
      "openalex",
      "3107|Atomic and Molecular Physics"
    ]
  ],
  "openalex": "W7221078663",
  "pdf_url": "https://arxiv.org/pdf/2610.11499",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c23anyxwdb9s8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:54Z",
      "native_id": "2610.11499",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.11499"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.atom-ph",
      "subfield": "amo"
    }
  ],
  "title": "Response of the near-threshold resonances of the $\\bm{dtμ}$ molecular ion to an effective atomic $2s$--$2p$ splitting",
  "title_text": "Response of the near-threshold resonances of the dtμ molecular ion to an effective atomic 2s--2p splitting",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:54Z",
  "url": "https://research.draconitic.com/paper/c23anyxwdb9s8",
  "venue": "arXiv",
  "versions": []
}