{
  "id": "0804.4670",
  "version": "v1",
  "published": "2008-04-29T18:36:45.000Z",
  "updated": "2008-04-29T18:36:45.000Z",
  "title": "The $N^*(1710)$ as a resonance in the $ππN$ system",
  "authors": [
    "K. P. Khemchandani",
    "A. Martínez Torres",
    "E. Oset"
  ],
  "journal": "Eur.Phys.J.A37:233-243,2008",
  "doi": "10.1140/epja/i2008-10625-3",
  "categories": [
    "nucl-th"
  ],
  "abstract": "We study the $\\pi \\pi N$ system by solving the Faddeev equations, for which the input two-body $t$-matrices are obtained by solving the Bethe-Salpeter equation in the coupled channel formalism. The potentials for the $\\pi \\pi$, $\\pi N$ sub-systems and their coupled channels are obtained from chiral Lagrangians, which have been earlier used to study resonances in these systems successfully. In this work, we find a resonance in the $\\pi\\pi N$ system with a mass of $1704 - i 375/2$ MeV and with quantum numbers $I=1/2$, $J^\\pi =1/2^+$. We identify this state with the $N^*(1710)$. This peak is found where the energies of the $\\pi \\pi$ sub-system fall in the region of the $\\sigma$ resonance. We do not find evidence for the Roper resonance in our study indicating a more complex structure for this resonance, nor for any state with total isospin $I=3/2$ or $5/2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-29T18:36:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14.20.Gk",
      "21.45.-v"
    ],
    "keywords": [
      "faddeev equations",
      "complex structure",
      "input two-body",
      "roper resonance",
      "sub-system fall"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "European Physical Journal A",
      "year": 2008,
      "month": "Aug",
      "volume": 37,
      "pages": 233
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 784628,
      "adsabs": "2008EPJA...37..233K"
    }
  }
}