{
  "annotation_id": "0744eb83-2161-4530-a558-ede3f212f4f9",
  "date_created": "2026-03-02T18:00:35.995000Z",
  "date_modified": "2026-03-02T18:00:35.995000Z",
  "file_hash": "859039cbac6d374a788589c04f20e7dbd92e9f540dd93dcf40b81a7dd017ff28",
  "private": false,
  "record": {
    "abstract": "Building on the Renormalization Group (RG) method the beam-beam interaction\nin circular colliders is studied. A regularized symplectic RG beam-beam map,\nthat describes successfully the long-time asymptotic behavior of the original\nsystem has been obtained. The integral of motion possessed by the regularized\nRG map has been used to construct the invariant phase space density (stationary\ndistribution function), and a coupled set of nonlinear integral equations for\nthe distributions of the two colliding beams has been derived.",
    "arxiv_id": "physics/0106101",
    "authors": [
      "Stephan I. Tzenov"
    ],
    "categories": [
      "physics.acc-ph",
      "nlin.PS"
    ],
    "title": "Renormalization Group Approach to the Beam-Beam Interaction in Circular   Colliders",
    "url": "https://arxiv.org/abs/physics/0106101"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e68f62bb-8f9e-4127-81e2-3b79ca1b4393",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}