{
  "id": "1112.3463",
  "version": "v2",
  "published": "2011-12-15T09:47:01.000Z",
  "updated": "2011-12-16T17:29:17.000Z",
  "title": "He$_2^{3+}$ and HeH$^{2+}$ molecular ions in a strong magnetic field: the Lagrange mesh approach",
  "authors": [
    "Horacio Olivares Pilón"
  ],
  "comment": "8 pages, 1 figure, 2 tables. arXiv admin note: text overlap with arXiv:0912.1043",
  "categories": [
    "astro-ph.HE",
    "physics.atom-ph"
  ],
  "abstract": "Accurate calculations for the ground state of the molecular ions He$_2^{3+}$ and HeH$^{2+}$ placed in a strong magnetic field $B\\gtrsim 10^{2}$ a.u. ($\\approx 2.35 \\times 10^{11}$G) using the Lagrange-mesh method are presented. The Born-Oppenheimer approximation of zero order (infinitely massive centers) and the parallel configuration (molecular axis parallel to the magnetic field) are considered. Total energies are found with 9-10 s.d. The obtained results show that the molecular ions He$_2^{3+}$ and HeH$^{2+}$ exist at $B > 100$\\,a.u. and $B > 1000$\\,a.u., respectively, as predicted in \\cite{Tu:2007} while a saddle point in the potential curve appears for the first time at $B \\sim 80$ a.u. and $B \\sim 740$ a.u., respectively.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-12-16T17:29:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "strong magnetic field",
      "molecular ions",
      "lagrange mesh approach",
      "molecular axis parallel",
      "potential curve appears"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.physleta.2012.03.044",
      "journal": "Physics Letters A",
      "year": 2012,
      "month": "Apr",
      "volume": 376,
      "number": 19,
      "pages": 1608
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1081597,
      "adsabs": "2012PhLA..376.1608O"
    }
  }
}