{
  "id": "1801.07925",
  "version": "v1",
  "published": "2018-01-24T11:11:48.000Z",
  "updated": "2018-01-24T11:11:48.000Z",
  "title": "Stability of the 2+2 fermionic system with point interactions",
  "authors": [
    "Thomas Moser",
    "Robert Seiringer"
  ],
  "comment": "LaTeX, 10 pages",
  "categories": [
    "math-ph",
    "cond-mat.quant-gas",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We give a lower bound on the ground state energy of a system of two fermions of one species interacting with two fermions of another species via point interactions. We show that there is a critical mass ratio m_c \\approx 0.58 such that the system is stable, i.e., the energy is bounded from below, for m \\in [m_c, m_c^{-1}]. So far it was not known whether this 2+2 system exhibits a stable region at all or whether the formation of four-body bound states causes an unbounded spectrum for all mass ratios, similar to the Thomas effect. Our result gives further evidence for the stability of the more general N+M system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-24T11:11:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "point interactions",
      "fermionic system",
      "ground state energy",
      "four-body bound states",
      "thomas effect"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}