{
  "id": "1003.4383",
  "version": "v2",
  "published": "2010-03-23T11:39:18.000Z",
  "updated": "2010-06-28T08:52:40.000Z",
  "title": "Effective field theory of 3He",
  "authors": [
    "Shung-ichi Ando",
    "Michael C. Birse"
  ],
  "comment": "18 pages, 6 figures; further discussion and references added",
  "journal": "J. Phys. G: Nucl. Part. Phys. 37 (2010) 105108",
  "doi": "10.1088/0954-3899/37/10/105108",
  "categories": [
    "nucl-th"
  ],
  "abstract": "3He and the triton are studied as three-body bound states in the effective field theory without pions. We study 3He using the set of integral equations developed by Kok et al. which includes the full off-shell T-matrix for the Coulomb interaction between the protons. To leading order, the theory contains: two-body contact interactions whose renormalized strengths are set by the NN scattering lengths, the Coulomb potential, and a three-body contact interaction. We solve the three coupled integral equations with a sharp momentum cutoff, Lambda, and find that a three-body interaction is required in 3He at leading order, as in the triton. It also exhibits the same limit-cycle behavior as a function of Lambda, showing that the Efimov effect remains in the presence of the Coulomb interaction. We also obtain the difference between the strengths of the three-body forces in 3He and the triton.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-06-28T08:52:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "effective field theory",
      "coulomb interaction",
      "integral equations",
      "full off-shell t-matrix",
      "sharp momentum cutoff"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics G Nuclear Physics",
      "year": 2010,
      "month": "Oct",
      "volume": 37,
      "number": 10,
      "pages": 105108
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 849749,
      "adsabs": "2010JPhG...37j5108A"
    }
  }
}