{
  "id": "2104.03263",
  "version": "v1",
  "published": "2021-04-07T17:09:41.000Z",
  "updated": "2021-04-07T17:09:41.000Z",
  "title": "Analytical Solutions for Radiation-Driven Winds in Massive Stars II: The $δ$-slow Regime",
  "authors": [
    "I. Araya",
    "A. Christen",
    "M. Curé",
    "L. S. Cidale",
    "R. O. J. Venero",
    "C. Arcos",
    "A. C. Gormaz-Matamala",
    "M. Haucke",
    "P. Escárate",
    "H. Clavería"
  ],
  "comment": "8 pages, 1 figure, accepted for publication in MNRAS",
  "categories": [
    "astro-ph.SR"
  ],
  "abstract": "Accurate mass-loss rates and terminal velocities from massive stars winds are essential to obtain synthetic spectra from radiative transfer calculations and to determine the evolutionary path of massive stars. From a theoretical point of view, analytical expressions for the wind parameters and velocity profile would have many advantages over numerical calculations that solve the complex non-linear set of hydrodynamic equations. In a previous work, we obtained an analytical description for the fast wind regime. Now, we propose an approximate expression for the line-force in terms of new parameters and obtain a velocity profile closed-form solution (in terms of the Lambert $W$ function) for the $\\delta$-slow regime. Using this analytical velocity profile, we were able to obtain the mass-loss rates based on the m-CAK theory. Moreover, we established a relation between this new set of line-force parameters with the known stellar and m-CAK line-force parameters. To this purpose, we calculated a grid of numerical hydrodynamical models and performed a multivariate multiple regression. The numerical and our descriptions lead to good agreement between their values.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-07T17:09:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "massive stars",
      "slow regime",
      "radiation-driven winds",
      "analytical solutions",
      "fast wind regime"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}