{
  "id": "2305.16814",
  "version": "v1",
  "published": "2023-05-26T10:48:26.000Z",
  "updated": "2023-05-26T10:48:26.000Z",
  "title": "The Fate of excited state of $^4\\text{He}$",
  "authors": [
    "Mario Gattobigio",
    "Alejandro Kievsky"
  ],
  "categories": [
    "nucl-th",
    "physics.atm-clus"
  ],
  "abstract": "We investigate the properties of the excited state of $^4\\mathrm{He}$, $^4\\mathrm{He}^*$, within the framework of Efimov physics and its connection to the unitary point of the nuclear interaction. We explore two different approaches to track the trajectory of $^4\\mathrm{He}^*$ as it crosses the $^3\\mathrm{H}$+p threshold and potentially becomes a resonant state. The first approach involves an analytical continuation of the energy with respect to the Coulomb coupling, while the second approach introduces an artificial four-body force that it is gradually released. By utilizing Pad\\'e approximants and extrapolation techniques, we estimate the energy and width of the resonance. Our results suggest a central energy value of $E_R=0.060(3)$ MeV and a width of $\\Gamma/2=0.036(6)$ MeV using the Coulomb analysis, and $E_R=0.068(1)$ MeV and $\\Gamma/2=0.007(5)$ MeV with the four-body force analysis. Interestingly, these results are consistent with calculations based on {\\it ab-initio} nuclear interactions but differ from the accepted values of the $0^+$ resonance energy and width. This highlights the challenges in accurately determining the properties of resonant states in light nuclei and calls for further investigations and refinements in theoretical approaches.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-26T10:48:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "excited state",
      "nuclear interaction",
      "resonant state",
      "central energy value",
      "artificial four-body force"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}