{
  "annotation_id": "18a89d91-6ce2-4b3a-a91b-c57b3449061b",
  "date_created": "2026-03-02T18:01:21.749000Z",
  "date_modified": "2026-03-02T18:01:21.749000Z",
  "file_hash": "b1a49fd5523da09cf6296388d8d0db0de6d8c5175c04b2d0a1ef9726f59140b2",
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  "record": {
    "abstract": "The electronic structure of the hydrogen molecule is investigated for the\nparallel configuration. The ground states of the Sigma manifold are studied for\nungerade and gerade parity as well as singlet and triplet states covering a\nbroad regime of field strengths from B = 0 up to B = 100a.u. A variety of\ninteresting phenomena can be observed. For the ^1Sigma_g state we found a\nmonotonous decrease of the equilibrium distance and a simultaneously increase\nof the dissociation energy with growing magnetic field strength. The ^3\\Sigma_g\nstate is shown to develop an additional minimum which has no counterpart in\nfield-free space. The ^1\\Sigma_u state shows a monotonous increase in the\ndissociation energy with first increasing and than decreasing internuclear\ndistance of the minimum. For this state the dissociation channel is H_2 to H^-\n+ H^+ for magnetic-field strengths B greater than 20a.u. due to the existence\nof strongly bound H^- states in strong magnetic fields. The repulsive\n^3\\Sigma_u state possesses a very shallow van der Waals minimum for\nmagnetic-field strengths smaller than 1.0a.u. within the numerical accuracy of\nour calculations. The ^1\\Sigma_g and ^3\\Sigma_u states cross as a function of B\nand the ^3\\Sigma_u state, which is an unbound state, becomes the ground state\nof the hydrogen molecule in magnetic fields B greater than 0.2a.u. This is of\nparticular interest for the existence of molecular hydrogen in the vicinity of\nwhite dwarfs. In superstrong fields the ground state is again a strongly bound\nstate, the ^3\\Pi_u state.",
    "arxiv_id": "physics/9711020",
    "authors": [
      "T. Detmer",
      "P. Schmelcher",
      "F. K. Diakonos",
      "L. S. Cederbaum"
    ],
    "categories": [
      "physics.chem-ph"
    ],
    "doi": "10.1103/PhysRevA.56.1825",
    "journal_ref": "Physical Review A 56, 1825-1838 (1997)",
    "title": "The hydrogen molecule in magnetic fields: The ground states of the Sigma   manifold of the parallel configuration",
    "url": "https://arxiv.org/abs/physics/9711020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "12547b2e-c536-40be-8083-95e0c3eb283b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}