{
  "id": "0904.1139",
  "version": "v1",
  "published": "2009-04-07T13:18:12.000Z",
  "updated": "2009-04-07T13:18:12.000Z",
  "title": "Low-momentum NN interactions and all-order summation of ring diagrams of symmetric nuclear matter",
  "authors": [
    "L. -W. Siu",
    "J. W. Holt",
    "T. T. S. Kuo",
    "G. E. Brown"
  ],
  "comment": "8 pages, 7 figures",
  "journal": "Phys.Rev.C79:054004,2009",
  "doi": "10.1103/PhysRevC.79.054004",
  "categories": [
    "nucl-th"
  ],
  "abstract": "We study the equation of state for symmetric nuclear matter using a ring-diagram approach in which the particle-particle hole-hole ($pphh$) ring diagrams within a momentum model space of decimation scale $\\Lambda$ are summed to all orders. The calculation is carried out using the renormalized low-momentum nucleon-nucleon (NN) interaction $V_{low-k}$, which is obtained from a bare NN potential by integrating out the high-momentum components beyond $\\Lambda$. The bare NN potentials of CD-Bonn, Nijmegen and Idaho have been employed. The choice of $\\Lambda$ and its influence on the single particle spectrum are discussed. Ring-diagram correlations at intermediate momenta ($k\\simeq$ 2 fm$^{-1}$) are found to be particularly important for nuclear saturation, suggesting the necessity of using a sufficiently large decimation scale so that the above momentum region is not integrated out. Using $V_{low-k}$ with $\\Lambda \\sim 3$ fm$^{-1}$, we perform a ring-diagram computation with the above potentials, which all yield saturation energies $E/A$ and Fermi momenta $k_F^{(0)}$ considerably larger than the empirical values. On the other hand, similar computations with the medium-dependent Brown-Rho scaled NN potentials give satisfactory results of $E/A \\simeq -15$ MeV and $k_F^{(0)}\\simeq 1.4$ fm$^{-1}$. The effect of this medium dependence is well reproduced by an empirical 3-body force of the Skyrme type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-07T13:18:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "21.30.-x",
      "21.45.Ff",
      "21.65.Mn"
    ],
    "keywords": [
      "symmetric nuclear matter",
      "low-momentum nn interactions",
      "ring diagrams",
      "all-order summation",
      "bare nn potential"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review C",
      "year": 2009,
      "month": "May",
      "volume": 79,
      "number": 5,
      "pages": "054004"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 817483,
      "adsabs": "2009PhRvC..79e4004S"
    }
  }
}