{
  "annotation_id": "16ff4b65-987c-4d15-a32f-4ef30ee05834",
  "date_created": "2026-03-02T18:00:15.527000Z",
  "date_modified": "2026-03-02T18:00:15.527000Z",
  "file_hash": "1108269c30adb3ddd7d3fbc2a8416f1f15a22fec78654acefcd7b5d1bf93dbe9",
  "private": false,
  "record": {
    "abstract": "We apply the chiral color dielectric model to low- and medium-energy\nscattering within the coupled $\\pi$N and $\\pi\\Delta$ system. Dynamic baryon\nstates in which quarks are confined by the scalar color-dielectric field are\nconstructed in Fock space. Spurious motion of the center of mass is eliminated\nby constructing momentum eigenstates via a Peierls-Yoccoz projection. The\nrelativistic Lippmann-Schwinger equation is solved for the complex energies of\nthe T matrix poles, and the pole positions of the nucleon and delta are used to\nfix the few parameters of the model. The $S$- and $P$-wave phase shifts, the\nbare N and $\\Delta$ masses, the renormalized $\\pi$NN and $\\pi$N$\\Delta$\ncoupling constants, and the $\\pi$NN and $\\pi$N$\\Delta$ vertex functions are\npredicted. nucleon and delta are used to fix the few parameters of the model.\nThe $S$- and $P$-wave phase shifts, the bare N and $\\Delta$ masses, the\nrenormalized $\\pi$NN and $\\pi$N$\\Delta$ coupling constants, and the $\\pi$NN and\n$\\pi$N$\\Delta$ vertex functions are predicted.",
    "arxiv_id": "nucl-th/9412021",
    "authors": [
      "Dinghui Lu",
      "Shashikant C. Phatak",
      "Rubin H. Landau"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.51.2207",
    "journal_ref": "Phys.Rev.C51:2207-2217,1995",
    "title": "Pion-Nucleon Scattering and the $\\pi$NN Coupling Constant in the Chiral   Color Dielectric Model",
    "url": "https://arxiv.org/abs/nucl-th/9412021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7ee24088-145d-4ff8-a0cf-089dd96fe90f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}