{
  "id": "2309.01348",
  "version": "v1",
  "published": "2023-09-04T04:14:21.000Z",
  "updated": "2023-09-04T04:14:21.000Z",
  "title": "$ΛΛ$ Interaction in a Nuclear Density Functional Theory and Hyperon Puzzle of the Neutron Star",
  "authors": [
    "Soonchul Choi",
    "Emiko Hiyama",
    "Chang Ho Hyun",
    "Myung-Ki Cheoun"
  ],
  "categories": [
    "nucl-th"
  ],
  "abstract": "A Skyrme-type effective potential is determined to describe the interaction between $\\Lambda$ hyperons in nuclear medium. Experimental data of the binding energies of the double-$\\Lambda$ ($\\Lambda\\Lambda$) nuclei with mass numbers $A=10$--$13$ are used to fit the parameters of the $\\Lambda\\Lambda$ interaction. As a result of the fitting, we obtain eight different sets of the $\\Lambda\\Lambda$ interaction parameters, which reproduces the input data within 5\\% deviation from the experimental data on average. The eight $\\Lambda\\Lambda$ interactions are plugged in the calculation of the heavier $\\Lambda\\Lambda$ nuclei and the neutron star equation of state to explore the issue of hyperon puzzle. We found that the $\\Lambda\\Lambda$ interaction, specifically, p-wave interaction makes the equation of state stiff enough that the maximum mass of the neutron star can be as large as, or above $2\\;M_\\odot$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-04T04:14:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nuclear density functional theory",
      "hyperon puzzle",
      "experimental data",
      "neutron star equation",
      "p-wave interaction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}