{
  "annotation_id": "549085b7-d100-4adc-a2c4-cbd46b3c5c9b",
  "date_created": "2026-03-02T18:00:39.182000Z",
  "date_modified": "2026-03-02T18:00:39.182000Z",
  "file_hash": "bb5ecc5987c3b48fe8eed0e8dc421c595d28deaef530aa51ceb3ef86fe20d8ef",
  "private": false,
  "record": {
    "abstract": "The evolution of two colliding beams in a linear accelerator can be described\nby two coupled Vlasov equations. In PEP-NOTE-325 by S. Kheifets and A. W. Chao\nthe case without external focusing was considered. In this paper we derive the\nequilibrium distribution and the tune shift in the presence of external\nfocusing. Motion is considered only in the vertical direction and the beams are\npresumed to be one-dimensional.",
    "arxiv_id": "physics/0208075",
    "authors": [
      "Bjoern S. Schmekel",
      "Joseph T. Rogers"
    ],
    "categories": [
      "physics.acc-ph"
    ],
    "title": "Equilibrium Distribution and Tune Shift of Beams in a Linear Collider",
    "url": "https://arxiv.org/abs/physics/0208075"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1c1213b0-3e96-4cea-b512-accf8c7f9a89",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}