{
  "id": "2302.08667",
  "version": "v1",
  "published": "2023-02-17T03:18:49.000Z",
  "updated": "2023-02-17T03:18:49.000Z",
  "title": "Neutron skin thickness of $^{116,118,120,122,124}$Sn determined from reaction cross sections of proton scattering",
  "authors": [
    "Shingo Tagami",
    "Tomotsugu Wakasa",
    "Masanobu Yahiro"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2211.16688",
  "categories": [
    "nucl-th"
  ],
  "abstract": "The cross sections of SDR in the Sb isotopes have been measured. Within the model used, the neutron-skin thicknesses $r_{\\rm skin}({\\rm exp})$ deduced $0.12 \\pm 0.06$fm for $^{116}$Sn, $0.13 \\pm 0.06$fm for $^{118}$Sn, $0.18 \\pm 0.07$fm for $^{120}$Sn, $0.22 \\pm 0.07$fm for $^{122}$Sn, $0.19 \\pm 0.07$fm for $^{124}$Sn. We tested the chiral (Kyushu) $g$-matrix folding model for $^{12}$C+$^{12}$C scattering, and found that the Kyushu $g$-matrix folding model is reliable for reaction cross sections $\\sigma_{\\rm R}$ in $30 < E_{\\rm in} < 100 $MeV and $250 < E_{\\rm in} < 400$MeV. We determine neutron skin thickness $r_{\\rm skin}({\\rm exp})$, using measured $\\sigma_{\\rm R}$ of $^{4}$He+$^{116,120,224}$Sn scattering. The results are $r_{\\rm skin}({\\rm exp})=0.242 \\pm 0.140$fm for $^{116}$Sn, $r_{\\rm skin}({\\rm exp})=0.377 \\pm 0.140$fm for $^{120}$Sn, $r_{\\rm skin}({\\rm exp})=0.180 \\pm 0.142$fm for $^{124}$Sn. The $\\sigma_{\\rm R}$ are available for proton scattering on $^{116,118,120,122,124}$Sn with high accuracy. Our aim is to determine $r_{\\rm skin}({\\rm exp})$ for $^{116,118,120,122,124}$Sn with small errors by using the Kyushu $g$-matrix folding model. Our model is the folding model with the densities scaled from the D1S-GHFB+AMP neutron density. The proton radii of D1S-GHFB+AMP agree with those calculated with the isotope shift method based on the electron scattering. We then scale the neutron densities so as to reproduce the $\\sigma_{\\rm R}({\\rm exp})$. In $30 < E_{\\rm in} < 65$MeV, we determine $r_{\\rm skin}({\\rm exp})$ from measured $\\sigma_{\\rm R}$. The values are $r_{\\rm skin}({\\rm exp})=0.118 \\pm 0.021$~fm for $^{116}$Sn, $0.112 \\pm 0.021$fm for $^{118}$Sn, $0.124 \\pm 0.021$fm for $^{120}$Sn, $0.156 \\pm 0.022$fm for $^{124}$Sn. As for $^{122}$Sn, the skin value in $30 < E_{\\rm in} < 50$MeV is $0.122 \\pm 0.024$fm. Our results are consistent with the previous values.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-02-17T03:18:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "reaction cross sections",
      "matrix folding model",
      "proton scattering",
      "determine neutron skin thickness",
      "neutron density"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}