{
  "annotation_id": "5f764519-17d7-4b61-a568-37a3a6dbdb66",
  "date_created": "2026-03-02T18:00:39.605000Z",
  "date_modified": "2026-03-02T18:00:39.605000Z",
  "file_hash": "c05a3a187dc106c6b70ca7ef6a33c4b2450e20bcd8f02c1a5c2311029ad18890",
  "private": false,
  "record": {
    "abstract": "By the use of the variational method with exponential trial functions the\nupper and lower bounds of energy are calculated for a number of\nnon-relativistic three-body Coulomb and nuclear systems. The formulas for\ncalculation of upper and lower bounds for exponential basis are given, the\nlower bounds for great part of systems were calculated for the first time. By\ncomparison of calculations for different bases the efficiency of exponential\ntrial functions and their universality in respect to masses of particles and\ninteraction are demonstrated. The advantage of exponential basis manifests\nmostly evident for the systems with comparable masses, though its use in\none-center and two-center problems is justified too. For effective solution of\ntwo-center problem a carcass modification of the trial function is proposed.\nThe stability of various three-particle Coulomb systems is analyzed.",
    "arxiv_id": "physics/0203043",
    "authors": [
      "A. G. Donchev",
      "N. N. Kolesnikov",
      "V. I. Tarasov"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "title": "Exponential Basis in Two-Sided Variational Estimates of Energy for   Three-Body Systems",
    "url": "https://arxiv.org/abs/physics/0203043"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0bfb2026-11bf-4ac4-9136-80363e36dd96",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}