{
  "id": "2409.02791",
  "version": "v1",
  "published": "2024-09-04T15:06:39.000Z",
  "updated": "2024-09-04T15:06:39.000Z",
  "title": "The Interaction of Moving $\\mathbf{Q\\bar{Q}}$ and QQq in the Thermal Plasma",
  "authors": [
    "Xuan Liu",
    "Sheng Lin",
    "Xun Chen"
  ],
  "categories": [
    "hep-ph"
  ],
  "abstract": "The strength of the force between heavy quarks is studied for heavy quarkonium ($\\mathrm{Q\\bar{Q}}$) and doubly heavy baryons ($\\mathrm{QQq}$) at finite temperature and rapidity using the gauge/gravity duality in this paper. The strength of the interaction is defined as an effective running coupling $\\alpha$ from lattice. By considering the $\\mathrm{Q\\bar{Q}}$ and $\\mathrm{QQq}$ moving through the thermal quark-gluon plasma, we find that the interaction of heavy quarks for $\\mathrm{Q\\bar{Q}}$ is small and remains almost constant when $L<0.2\\,\\mathrm{fm}$. The strength of the interaction for $\\mathrm{QQq}$ is always less than that for $\\mathrm{Q\\bar{Q}}$ and approaches a constant when $L<0.4\\,\\mathrm{fm}$. The $\\alpha$ and the maximum of effective running coupling $\\tilde{\\alpha}$ for both $\\mathrm{Q\\bar{Q}}$ and $\\mathrm{QQq}$ decrease with increasing temperature or rapidity. Through comparison, we find that $\\mathrm{QQq}$ is more sensitive to changes in temperature and rapidity, and the interaction force between quarks is always less than that of $\\mathrm{Q\\bar{Q}}$, indicating that $\\mathrm{Q\\bar{Q}}$ is more stable than $\\mathrm{QQq}$ in the presence of temperature and rapidity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-04T15:06:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "thermal plasma",
      "heavy quarks",
      "thermal quark-gluon plasma",
      "doubly heavy baryons",
      "finite temperature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}