{
  "annotation_id": "48f152d4-6955-4dd7-863c-4193cf72331e",
  "date_created": "2026-03-02T18:01:21.843000Z",
  "date_modified": "2026-03-02T18:01:21.843000Z",
  "file_hash": "593e5076f721ff7d8522bc563c53a539557ed124dba37f57f62d42c64361647c",
  "private": false,
  "record": {
    "abstract": "We present results on the stability of quantum systems consisting of a\nnegative charge $-q_1$ with mass $m_{1}$ and two positive charges $q_2$ and\n$q_3$, with masses $m_{2}$ and $m_{3}$, respectively. We show that, for given\nmasses $m_{i}$, each instability domain is convex in the plane of the variables\n$(q_{1}/q_{2}, q_{1}/q_{3})$. A new proof is given of the instability of muonic\nions $(\\alpha, p, \\mu^-)$. We then study stability in some critical regimes\nwhere $q_3\\ll q_2$: stability is sometimes restricted to large values of some\nmass ratios; the behaviour of the stability frontier is established to leading\norder in $q_3/q_2$. Finally we present some conjectures about the shape of the\nstability domain, both for given masses and varying charges, and for given\ncharges and varying masses.",
    "arxiv_id": "physics/9812031",
    "authors": [
      "Ali Krikeb",
      "Andre Martin",
      "Jean-Marc Richard",
      "Tai T. Wu"
    ],
    "categories": [
      "physics.atom-ph",
      "quant-ph"
    ],
    "title": "On the Stability Domain of Systems of Three Arbitrary Charges",
    "url": "https://arxiv.org/abs/physics/9812031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "07de332b-fd27-431c-a82d-4b53b92ec994",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}