{
  "id": "1711.08206",
  "version": "v1",
  "published": "2017-11-22T10:12:55.000Z",
  "updated": "2017-11-22T10:12:55.000Z",
  "title": "The formation rate of short gamma-ray bursts and gravitational waves",
  "authors": [
    "G. Q. Zhang",
    "F. Y. Wang"
  ],
  "comment": "29 pages, 8 figures, 2 tables, accepted for publication in ApJ",
  "categories": [
    "astro-ph.HE",
    "astro-ph.CO"
  ],
  "abstract": "In this paper, we study the luminosity function and formation rate of short gamma-ray bursts (sGRBs). Firstly, we derive the $E_p-L_p$ correlation using 16 sGRBs with redshift measurements and determine the pseudo redshifts of 284 Fermi sGRBs. Then, we use the Lynden-Bell c$^-$ method to study the luminosity function and formation rate of sGRBs without any assumptions. A strong evolution of luminosity $L(z)\\propto (1+z)^{4.47}$ is found. After removing this evolution, the luminosity function is $ \\Psi (L) \\propto L_0 ^ {- 0.29 \\pm 0.01} $ for dim sGRBs and $ \\psi (L) \\propto L_0 ^ {- 1.07 \\pm 0.01} $ for bright sGRBs, with the break point $8.26 \\times 10^{50} $ erg s$^{-1}$. We also find that the formation rate decreases rapidly at $z<1.0$, which is different with previous works. The local formation rate of sGRBs is 7.53 events Gpc$^{-3}$ yr$^{-1}$. Considering the beaming effect, the local formation rate of sGRBs including off-axis sGRBs is $ 203.31^{+1152.09}_{-135.54} $ events Gpc$^{-3}$ yr$^{-1}$. We also estimate that the event rate of sGRBs detected by the advanced LIGO and Virgo is $0.85^{+4.82}_{-0.56} $ events yr$^{-1}$ for NS-NS binary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-11-22T10:12:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "short gamma-ray bursts",
      "gravitational waves",
      "luminosity function",
      "local formation rate",
      "events gpc"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}