{
  "id": "hep-ph/9612457",
  "version": "v2",
  "published": "1996-12-24T10:02:42.000Z",
  "updated": "1997-08-05T10:05:30.000Z",
  "title": "Masses, decays and mixings of gluonia in QCD",
  "authors": [
    "Stephan Narison"
  ],
  "comment": "33 pages, latex 2e source+19 figures inside the text, compressed files, minor changes (version to appear in Nucl.Phys. B) Montpellier preprint PM 96/37",
  "journal": "Nucl.Phys.B509:312-356,1998",
  "doi": "10.1016/S0550-3213(97)00562-2",
  "categories": [
    "hep-ph",
    "hep-lat",
    "nucl-th"
  ],
  "abstract": "We compute the masses and decay widths of gluonia using QCD spectral sum rules and low-energy theorems. In the scalar sector, one finds a gluonium having a mass $M_G=(1.5\\pm 0.2)$ GeV, which decays mainly into the $U(1)_A$ channels $\\eta\\eta'$ and 4$\\pi^0$. However, for a consistency of the whole approach, one needs broad-low mass gluonia (the $\\sigma$ and its radial excitation), which couple strongly to the quark degrees of freedom similarly to the $\\eta'$ of the $U(1)_A$ sector. Combining these results with the ones for the $\\bar qq$ quarkonia, we present maximal quark-gluonium mixing schemes, which can provide quite a good description of the complex spectra and various decay widths of the observed scalar mesons $\\sigma(1.0),f_0(0.98),f_0(1.37),f_0(1.5)$ and $f_J(1.71)$. In the tensor sector, the gluonium mass is found to be $M_T\\simeq (2.05\\pm 0.19)$ GeV, which makes the $\\zeta(2.2)$ a good $2^{++}$ gluonium candidate, even though we expect a rich population of $2^{++}$ gluonia in this region. In the pseudoscalar channel, the gluonium mass is found to be $M_P\\simeq (2.05\\pm 0.19)$ GeV, while we also show that the $E/\\iota(1.44)$ couples more weakly to the gluonic current than the $\\eta'$, which can favour its interpretation as the first radial excitation of the $\\eta'(0.96)$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1997-08-05T10:05:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "12.40.Yx"
    ],
    "keywords": [
      "decay widths",
      "gluonium mass",
      "qcd spectral sum rules",
      "needs broad-low mass gluonia",
      "first radial excitation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 427803
    }
  }
}