{
  "id": "hep-ph/0508038",
  "version": "v2",
  "published": "2005-08-02T21:01:41.000Z",
  "updated": "2005-10-11T23:00:44.000Z",
  "title": "Skyrme model and Isospin Chemical Potential",
  "authors": [
    "M. Loewe",
    "S. Mendizabal",
    "J. C. Rojas"
  ],
  "comment": "13 pages, 7 figures",
  "journal": "Phys.Lett. B632 (2006) 512-516",
  "doi": "10.1016/j.physletb.2005.10.082",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We discuss the stability of the Skyrmion solution in the presence of a finite isospin chemical potential $\\mu$. Solving numerically the mass of the Skyrmion as function of $\\mu$, we find a critical value $\\mu_c=222.8$ MeV where the Skyrmion mass vanishes. We compare the exact numerical treatment with an analytical discussion based on a special shape for the profile of the Skyrmion due to Atiyah and Manton. The extension of this ansatz for finite $\\mu$ works quite well for $\\mu<121$ MeV. Then, for small values of $\\mu$, where the analytical approach is valid, we consider the possibility of having an angular deformation for the Skyrmionic profile, which is possible for finite values of $\\mu$. This is however, a small effect. Finally we introduce finite temperature corrections, which strength the instability induced by the chemical potential, finding the dependence of the critical temperature on $\\mu$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-10-11T23:00:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "skyrme model",
      "skyrmion mass vanishes",
      "finite isospin chemical potential",
      "finite temperature corrections",
      "skyrmion solution"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 688939
    }
  }
}