{
  "id": "1305.3589",
  "version": "v1",
  "published": "2013-05-15T19:05:05.000Z",
  "updated": "2013-05-15T19:05:05.000Z",
  "title": "Energy Dependence of Profile Functions in $\\rm{p\\bar p}$ and $\\rm pp$ Scattering",
  "authors": [
    "Anderson Kendi Kohara",
    "Erasmo Ferreira",
    "Takeshi Kodama"
  ],
  "comment": "9 pages, 11 figures (20 eps files), LISHEP 2013 Workshop Proceedings",
  "categories": [
    "hep-ph"
  ],
  "abstract": "We construct analytical forms in the impact parameter $b$-space for the real and imaginary amplitudes describing elastic pp and $\\rm p \\bar p $ scattering. The amplitudes converted analytically to the momentum transfer $t$-space have magnitudes, slopes, curvatures, zeros, signs, obeying phenomenological and theoretical expectations, and describe with high precision all details of the data, in the full-t range, and for energies from 20 GeV to 7 TeV. The connection of forward with large-$|t|$ behavior allows precise determination of total cross-sections, slopes and other scattering parameters. We study the properties and the energy dependence of the $b$-space profile functions, observing that the real part has fundamental influence in the structure of $d\\sigma/dt$ at intermediate and large $|t|$ values. We discuss the 540/546 GeV and 1.8/1.96 TeV data from CERN SPS and Fermilab TEVATRON and the 7 TeV results from TOTEM measurements at LHC, and investigate the extrapolation to 14 TeV and higher energies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-15T19:05:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "energy dependence",
      "profile functions",
      "scattering",
      "imaginary amplitudes describing elastic pp",
      "real part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1233545,
      "adsabs": "2013arXiv1305.3589K"
    }
  }
}