{
  "id": "1311.3563",
  "version": "v1",
  "published": "2013-11-14T16:13:09.000Z",
  "updated": "2013-11-14T16:13:09.000Z",
  "title": "Evolved Chiral NN+3N Hamiltonians for Ab Initio Nuclear Structure Calculations",
  "authors": [
    "Robert Roth",
    "Angelo Calci",
    "Joachim Langhammer",
    "Sven Binder"
  ],
  "comment": "21 pages, 16 figures, 2 tables",
  "categories": [
    "nucl-th"
  ],
  "abstract": "We discuss the building blocks for a consistent inclusion of chiral three-nucleon (3N) interactions into ab initio nuclear structure calculations beyond the lower p-shell. We highlight important technical developments, such as the similarity renormalization group (SRG) evolution in the 3N sector, a JT-coupled storage scheme for 3N matrix elements with efficient on-the-fly decoupling, and the importance truncated no-core shell model with 3N interactions. Together, these developments make converged ab initio calculations with explicit 3N interactions possible also beyond the lower p-shell. We analyze in detail the impact of various truncations of the SRG-evolved Hamiltonian, in particular the truncation of the harmonic-oscillator model space used for solving the SRG flow equations and the omission of the induced beyond-3N contributions of the evolved Hamiltonian. Both truncations lead to sizable effects in the upper p-shell and beyond and we present options to remedy these truncation effects. The analysis of the different truncations is a first step towards a systematic uncertainty quantification of all stages of the calculation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-14T16:13:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "21.30.-x",
      "21.45.Ff",
      "21.60.De",
      "05.10.Cc"
    ],
    "keywords": [
      "ab initio nuclear structure calculations",
      "truncated no-core shell model",
      "evolved chiral",
      "hamiltonian",
      "truncation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevC.90.024325",
      "journal": "Physical Review C",
      "year": 2014,
      "month": "Aug",
      "volume": 90,
      "number": 2,
      "pages": "024325"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1264541,
      "adsabs": "2014PhRvC..90b4325R"
    }
  }
}