{
  "id": "1912.06008",
  "version": "v1",
  "published": "2019-12-12T15:00:21.000Z",
  "updated": "2019-12-12T15:00:21.000Z",
  "title": "Probing the mid-layer structure of red giants I. Mixed-mode coupling factor as a seismic diagnosis",
  "authors": [
    "C. Pinçon",
    "M. -J. Goupil",
    "K. Belkacem"
  ],
  "comment": "27 pages, accepted in A\\&A",
  "categories": [
    "astro-ph.SR"
  ],
  "abstract": "The space-borne missions CoRoT and Kepler have already brought stringent constraints on the internal structure of low-mass evolved stars, a large part of which results from the detection of mixed modes. However, all the potential of these oscillation modes as a diagnosis of the stellar interior has not been fully exploited yet. In particular, the coupling factor or the gravity-offset of mixed modes, $q$ and $\\varepsilon_{\\rm g}$, are expected to provide additional constraints on the mid-layers of red giants, which are located between the hydrogen-burning shell and the neighborhood of the base of the convective zone. In the present paper, we investigate the potential of the coupling factor in probing the mid-layer structure of evolved stars. Guided by typical stellar models and general physical considerations, we modeled the coupling region along with evolution. We subsequently obtained an analytical expression of $q$ based on the asymptotic theory of mixed modes and compared it to observations. We show that the value of $q$ is degenerate with respect to the thickness of the coupling evanescent region and the local density scale height. A structural interpretation of the global variations in $q$ observed on the subgiant and the red giant branches, as well as on the red clump, was obtained in the light of this model. We demonstrate that $q$ has the promising potential to probe the migration of the base of the convective region as well as convective extra-mixing in evolved red giant stars with typically $\\nu_{\\rm max} \\lesssim 100~\\mu$Hz. We also show that the frequency-dependence of $q$ cannot be neglected in the oscillation spectra of such stars, which is in contrast with what is assumed in the current measurement methods. This analytical study paves the way for a more quantitative exploration of the link of $q$ with the internal properties of evolved stars using stellar models.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-12T15:00:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "red giant",
      "mixed-mode coupling factor",
      "mid-layer structure",
      "seismic diagnosis",
      "mixed modes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}