{
  "id": "2301.09872",
  "version": "v1",
  "published": "2023-01-24T09:15:44.000Z",
  "updated": "2023-01-24T09:15:44.000Z",
  "title": "Temperature of the hot $α$-source: a guidance to probe the Bose-Einstein condensation of $α$ clusters in the heavy-ion collision",
  "authors": [
    "Jun Su",
    "Long Zhu"
  ],
  "categories": [
    "nucl-th"
  ],
  "abstract": "Recent experimental efforts were made to explore the Bose-Einstein condensation in multi-$\\alpha$ system using the heavy-ion collisions. This Letter provides a explanation why no signatures were observed and a guidance for future experiments. More precisely, a harmonic oscillator model is developed to study the multi-$\\alpha$ source at or near zero temperature. The temperature and particle population of the multi-$\\alpha$ sources observed in the current experiments are extracted. It is found that almost no $\\alpha$ particles occupy the ground state in those multi-$\\alpha$ sources. The critical temperature for the multi-$\\alpha$-condensed states are predicted, which provides a guidance for the future experiments to probe the Bose-Einstein condensation of $\\alpha$ clusters in the heavy-ion collisions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-24T09:15:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bose-einstein condensation",
      "heavy-ion collision",
      "harmonic oscillator model",
      "experimental efforts",
      "zero temperature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}