{
  "id": "0804.1210",
  "version": "v1",
  "published": "2008-04-08T08:36:11.000Z",
  "updated": "2008-04-08T08:36:11.000Z",
  "title": "On the nature of the $Λ(1405)$ and $Λ(1670)$ from their $N_c$ behavior in chiral dynamics",
  "authors": [
    "L. Roca",
    "T. Hyodo",
    "D. Jido"
  ],
  "comment": "29 pages, 8 figures",
  "journal": "Nucl.Phys.A809:65-87,2008",
  "doi": "10.1016/j.nuclphysa.2008.05.014",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We study the behavior with the number of colors ($N_c$) of the $\\Lambda(1405)$ and $\\Lambda(1670)$ resonances obtained dynamically within the chiral unitary approach. The leading order meson-baryon interaction, used as the kernel of the unitarization procedure, manifests a nontrivial $N_c$ dependence of the flavor SU(3) representation for baryons. As a consequence, the SU(3) singlet (or $\\bar{K}N$) component of the $\\Lambda(1405)$ states remains bound in the large $N_c$ limit, while the other components dissolve into the continuum. Introducing explicit SU(3) breaking, we obtain the $N_c$ dependence of the excitation energy, masses and widths of the physical $\\Lambda(1405)$ and $\\Lambda(1670)$ resonance. The $N_c$ behavior of the decay width is found to be different from the general counting rule for a $qqq$ state, indicating the dynamical origin of these resonances.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-08T08:36:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11.30.Rd",
      "14.20.-c",
      "11.15.Pg"
    ],
    "keywords": [
      "chiral dynamics",
      "chiral unitary approach",
      "states remains bound",
      "leading order meson-baryon interaction",
      "dependence"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nuclear Physics A",
      "year": 2008,
      "month": "Aug",
      "volume": 809,
      "number": 1,
      "pages": 65
    },
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 783016,
      "adsabs": "2008NuPhA.809...65R"
    }
  }
}