{
  "id": "nucl-th/0105057",
  "version": "v1",
  "published": "2001-05-22T12:56:00.000Z",
  "updated": "2001-05-22T12:56:00.000Z",
  "title": "Chiral Dynamics and Nuclear Matter",
  "authors": [
    "N. Kaiser",
    "S. Fritsch",
    "W. Weise"
  ],
  "comment": "18 pages, 8 figures",
  "journal": "Nucl.Phys. A697 (2002) 255-276",
  "doi": "10.1016/S0375-9474(01)01231-3",
  "categories": [
    "nucl-th"
  ],
  "abstract": "We calculate the equation of state of isospin-symmetric nuclear matter in the three-loop approximation of chiral perturbation theory. The contributions to the energy per particle $\\bar E(k_f)$ from one- and two-pion exchange diagrams are ordered in powers of the Fermi momentum $k_f$ (modulo functions of $k_f /m_\\pi$). It is demonstrated that, already at order ${\\cal O}(k_f^4)$, two-pion exchange produces realistic nuclear binding. The underlying saturation mechanism is surprisingly simple (in the chiral limit), namely the combination of an attractive $k_f^3$-term and a repulsive $k_f^4$-term. The empirical saturation point and the nuclear compressibility $K\\simeq 250 $MeV are well reproduced at order ${\\cal O}(k_f^5)$ with a momentum cut-off of $\\Lambda \\simeq 0.65$ GeV which parametrizes short-range dynamics. No further short-distance terms are required in our calculation of nuclear matter. In the same framework we calculate the density-dependent asymmetry energy and find $A_0\\simeq 34 $MeV at the saturation point, in good agreement with the empirical value. The pure neutron matter equation of state is also in fair qualitative agreement with sophisticated many-body calculations and a resummation result of effective field theory, but only for low neutron densities $\\rho_n <0.25 $fm$^{-3}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-05-22T12:56:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12.38.Bx",
      "21.65.+f"
    ],
    "keywords": [
      "nuclear matter",
      "chiral dynamics",
      "two-pion exchange produces realistic nuclear",
      "pure neutron matter equation",
      "saturation point"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. A"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 557060
    }
  }
}