{
  "id": "nucl-th/0610060",
  "version": "v1",
  "published": "2006-10-16T12:14:57.000Z",
  "updated": "2006-10-16T12:14:57.000Z",
  "title": "Scales in nuclear matter: Chiral dynamics with pion nucleon form factors",
  "authors": [
    "N. Kaiser",
    "M. Mühlbauer",
    "W. Weise"
  ],
  "comment": "13 pages, 6 figures",
  "journal": "Eur.Phys.J.A31:53-60,2007",
  "doi": "10.1140/epja/i2006-10159-8",
  "categories": [
    "nucl-th"
  ],
  "abstract": "A systematic calculation of nuclear matter is performed which includes the long-range correlations between nucleons arising from one- and two-pion exchange. Three-body effects from $2\\pi$-exchange with excitations of virtual $\\Delta(1232)$-isobars are also taken into account in our diagrammatic calculation of the energy per particle $\\bar E(k_f)$. In order to eliminate possible high-momentum components from the interactions we introduce at each pion-baryon vertex a form factor of monopole type. The empirical nuclear matter saturation point, $\\rho_0 \\simeq 0.16 $fm$^{-3}$, $\\bar E_0\\simeq -16 $MeV, is well reproduced with a monopole mass of $\\Lambda \\simeq 4\\pi f_\\pi \\simeq 1.16 $GeV. As in the recent approach based on the universal low-momentum $NN$-potential $V_{\\rm low-k}$, the inclusion of three-body effects is crucial in order to achieve saturation of nuclear matter. We demonstrate that the dependence of the pion-exchange contributions to $\\bar E(k_f)$ on the ''resolution'' scale $\\Lambda$ can be compensated over a wide range of $\\Lambda$ by counterterms with two ''running'' contact-couplings. As a further application we study the in-medium chiral condensate $<\\bar q q >(\\rho)$ beyond the linear density approximation. For $\\rho \\leq 1.5 \\rho_0$ we find small corrections from the derivative $d \\bar E(k_f)/d m_\\pi$, which are stable against variations of the monopole regulator mass $\\Lambda$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-10-16T12:14:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "21.65.+f",
      "12.38.Bx"
    ],
    "keywords": [
      "pion nucleon form factors",
      "chiral dynamics",
      "three-body effects",
      "empirical nuclear matter saturation point"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 729169
    }
  }
}