{
  "id": "2305.18336",
  "version": "v1",
  "published": "2023-05-25T11:00:10.000Z",
  "updated": "2023-05-25T11:00:10.000Z",
  "title": "A study of medium effects in elastic $πN$ and $πA$ scatterings",
  "authors": [
    "Hyeon-dong Han"
  ],
  "comment": "MSc Thesis. arXiv admin note: substantial text overlap with arXiv:2112.11060",
  "categories": [
    "nucl-th",
    "hep-ph",
    "nucl-ex"
  ],
  "abstract": "The elastic $\\pi N$ scattering is investigated for the $I=3/2$ channel dominated by the $\\Delta(1232)$ resonance at finite baryon density, employing the effective Lagrangian approach at the tree-level Born approximation. The quark-meson coupling (QMC) model is employed to describe the in-medium baryon properties that are constructed at the quark level, such as the nucleon and $\\Delta$ masses, and $\\Delta$ full decay width. I reproduce the experimental data of the cross-section in a vacuum as a justification of our approach and then analyze the in-medium total and differential cross-sections as well as proton-spin asymmetry. Following the results of the in-medium elastic $\\pi N$ scattering calculation, the elastic $\\pi A$ scattering is investigated at finite baryon density in the framework of the Eikonal Glauber model for the light nuclei, $^4\\mathrm{He}$ and $^{12}\\mathrm{C}$. For the description of the finite nuclei, the Wood-Saxon density profile, and an expansion of the charge distribution as a sum of Gaussians are employed in this study. The nuclear density distribution $\\rho_A$, effective baryon mass $m^*_B$, in-medium decay width $\\Gamma^*_\\Delta$, and in-medium coupling constants $f^*_{\\pi NN}$ and $f^*_{\\pi N \\Delta}$ are analyzed as well as the total cross-section. The results show that the effective baryon mass and cross-sections in the medium decrease as density increases except for the $\\Delta$ decay width, which increases as the density increases. The elastic $\\pi A$ scattering at the tree-level Born approximation reproduces well the experimental data for $^4\\mathrm{He}$ but overestimates for $^{12}\\mathrm{C}$. Results for the in-medium $\\Delta$ resonance and other findings in this work will be relevant for the relativistic heavy-ion collision experiments.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-25T11:00:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "medium effects",
      "decay width",
      "scattering",
      "finite baryon density",
      "effective baryon mass"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}