{
  "id": "2307.02111",
  "version": "v1",
  "published": "2023-07-05T08:38:00.000Z",
  "updated": "2023-07-05T08:38:00.000Z",
  "title": "Event Rate of Fast Radio Burst from Binary Neutron-star Mergers",
  "authors": [
    "Zhi-Lin Chen",
    "Rui-Chong Hu",
    "Da-Bin Lin",
    "En-Wei Liang"
  ],
  "comment": "11 pages, 2 figures, accepted for publication in Astrophysical Journal",
  "categories": [
    "astro-ph.HE"
  ],
  "abstract": "It is proposed that one-off fast radio burst (FRB) with periodic structures may be produced during the inspiral phase of a binary neutron-star (BNS) merger. In this paper, we study the event rate of such kind of FRB. We first investigate the properties of two one-off FRBs with periodic structures (i.e., FRB~20191221A and FRB~20210213A) in this scenario, by assuming the fast magnetosonic wave is responsible for their radio emission. For the luminosities and periods of these bursts, it is found that the pre-merger BNS with magnetic field strength $B\\gtrsim 10^{12}\\,{\\rm Gs}$ is required. This is relatively high compared with that of the most of the BNSs observed in our Galaxy, of which the magnetic field is around $10^{9}\\,{\\rm Gs}$. Since the observed BNSs in our Galaxy are the binaries without suffering merger, a credited event rate of BNS-merger originated FRBs should be estimated by considering the evolution of both the BNS systems and their magnetic fields. Based on the population synthesis and adopting a decaying magnetic field of NSs, we estimate the event rate of BNS-mergers relative to their final magnetic fields. We find that the rapid merged BNSs tend to merge with high magnetization, and the event rate of BNS-merger originated FRBs, i.e., the BNS-mergers with both NSs' magnetic field being higher than $10^{12}\\,{\\rm Gs}$ is $\\sim8\\times10^{4}\\,\\rm{yr}^{-1}$ ($19 \\%$ of the total BNS-mergers) in redshift $z<1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-05T08:38:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "event rate",
      "binary neutron-star mergers",
      "bns-merger originated frbs",
      "periodic structures",
      "one-off fast radio burst"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}