{
  "id": "2109.01159",
  "version": "v1",
  "published": "2021-09-02T18:08:17.000Z",
  "updated": "2021-09-02T18:08:17.000Z",
  "title": "High-Order Multipole and Binary Love Number Universal Relations",
  "authors": [
    "Daniel A. Godzieba",
    "David Radice"
  ],
  "comment": "14 pages, 6 figures, 3 tables",
  "categories": [
    "astro-ph.HE",
    "gr-qc"
  ],
  "abstract": "Using a data set of approximately 2 million phenomenological equations of state consistent with observational constraints, we construct new equation-of-state-insensitive universal relations that exist between the multipolar tidal deformability parameters of neutron stars, $\\Lambda_l$, for several high-order multipoles ($l = 5,6,7,8$). We confirm the existence of a universal relation between the radius of the $1.4 M_\\odot$ NS, $R_{1.4}$ and the reduced tidal parameter of the binary, $\\tilde{\\Lambda}$, and the chirp mass. We extend this relation to a large number of chirp masses and to the radii of isolated NSs of different mass $M$, $R_M$. We find that there is an optimal value of $M$ for every $\\mathcal{M}$ such that the uncertainty in the estimate of $R_M$ is minimized when using the relation. We discuss the utility and implications of these relations for the upcoming LIGO O4 run and third-generation detectors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-02T18:08:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "binary love number universal relations",
      "high-order multipole",
      "chirp mass",
      "multipolar tidal deformability parameters",
      "upcoming ligo o4 run"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}