{
  "annotation_id": "4ba6bbfd-01a7-4100-b0fa-bd13043ad5f9",
  "date_created": "2026-03-02T18:00:53.179000Z",
  "date_modified": "2026-03-02T18:00:53.179000Z",
  "file_hash": "da22cc74e7e290a27d2a662b98599d535d49c54bf43ea24949a8e9cad21fb85a",
  "private": false,
  "record": {
    "abstract": "A general equation for the centroid motion of free, continuous, intense beams\npropagating off-axis in solenoidal periodic focusing fields is derived. The\ncentroid equation is found to be independent of the specific beam distribution\nand may exhibit unstable solutions. A new Vlasov equilibrium for off-axis beam\npropagation is also obtained. Properties of the equilibrium and the relevance\nof centroid motion to beam confinement are discussed.",
    "arxiv_id": "physics/0410156",
    "authors": [
      "Jorge S. Moraes",
      "Renato Pakter",
      "Felipe B. Rizzato"
    ],
    "categories": [
      "physics.plasm-ph"
    ],
    "title": "Stability of off-axis motion for intense particle beams in periodically   focusing channels",
    "url": "https://arxiv.org/abs/physics/0410156"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "21ab95d6-7269-4709-a721-4dfc1e9bfb42",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}