{
  "id": "2009.13808",
  "version": "v1",
  "published": "2020-09-29T06:31:29.000Z",
  "updated": "2020-09-29T06:31:29.000Z",
  "title": "On the event rate and luminosity function of superluminous supernovae",
  "authors": [
    "Wen-Chang Zhao",
    "Xiao-Xin Xue",
    "Xiao-Feng Cao"
  ],
  "comment": "14 pages, 5 figures, 2 tables, accepted for publication in New Astronomy",
  "categories": [
    "astro-ph.HE"
  ],
  "abstract": "We calculate the rate per unit volume of hydrogen-poor superluminous supernovae (SLSNe-I) based on the 17 events discovered with the Pan-STARRS1 Medium Deep Survey (PS1 MDS). Two forms of the luminosity function (LF) are assumed : a log-normal form and a single power-law form, respectively. The rate of SLSNe-I is assumed to be proportional to the cosmic star formation rate with an additional redshift evolution of $(1+z)^{\\alpha}$. Our results show that the single power-low form fits the data better than the log-normal form, and the event rate of SLSNe-I is proportional to the cosmic star formation rate directly (with $\\alpha=0$). We measure the SLSNe-I rate to be about $40 ~\\rm{yr^{-1}Gpc^{-3} }$ at a weighted mean redshift of $\\overline z=0.89$, which is consistent with previous works.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-29T06:31:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "luminosity function",
      "event rate",
      "superluminous supernovae",
      "cosmic star formation rate",
      "log-normal form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}