{
  "id": "1908.11484",
  "version": "v1",
  "published": "2019-08-29T23:51:43.000Z",
  "updated": "2019-08-29T23:51:43.000Z",
  "title": "$Ω$-deuteron Interaction and $Ω$ Hypernuclei",
  "authors": [
    "Faisal Etminan",
    "Mohammad Mehdi Firoozabadi"
  ],
  "comment": "5 pages, 4 figures",
  "categories": [
    "nucl-th"
  ],
  "abstract": "A simple folding model for $\\Omega$-deuteron with maximal spin $\\left(I\\right)J^{P}=\\left(0\\right)5/2^{+}$ is presented. The $\\Omega$ particle is taken to orbit an unperturbed deuteron in a $\\Omega$-deuteron potential based on a separable $\\Omega$-nucleon potential obtained in lattice QCD. The folding model approximate the three-body problem to a two-body problem is investigated in this context. The upper bound for binding energy, scattering length and effective range of $\\Omega$ particle on a deuteron are approximated. Our calculation of binding energy from simple two-body approximation are in good agreement by reported results from three-body problem. While the interaction of $\\Omega$-nucleon are strong enough to form two-body bound states, it is desirable to check possibility of $\\Omega$ hypernuclei. We derive a single-folding potential for $\\Omega$ hypernuclei from the $\\Omega$-nucleon potential obtained in lattice QCD. We calculate the binding energy of the $\\Omega$ hypernuclei and estimate the effect of coulomb force to check existence of $\\Omega$ hypernuclei.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-29T23:51:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hypernuclei",
      "deuteron interaction",
      "binding energy",
      "form two-body bound states",
      "nucleon potential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}