{
  "annotation_id": "ecf4b60e-7c39-4651-9b3f-6af527fc9627",
  "date_created": "2026-03-02T18:00:57.275000Z",
  "date_modified": "2026-03-02T18:00:57.275000Z",
  "file_hash": "3fdf2a284b79e4b1231902ba20db174a610c026007e40ad6d313927290af25c0",
  "private": false,
  "record": {
    "abstract": "The leading Lie generators, including the chromatic effects, due to hard-edge\nfringe field of single multipole and solenoid are derived from the vector\npotentials within a Hamiltonian system. These nonlinear generators are applied\nto the interaction region of PEP-II to analyze the linear errors due to the\nfeed-down from the off-centered quadrupoles and solenoid. The nonlinear effects\nof tune shifts at large amplitude, the synchro-betatron sidebands near half\ninteger and their impacts on the dynamic aperture are studied in the paper.",
    "arxiv_id": "physics/0505159",
    "authors": [
      "Yunhai Cai",
      "Yuri Nosochkov"
    ],
    "categories": [
      "physics.acc-ph"
    ],
    "title": "Dynamical Effects Due to Fringe Field of the Magnet in Circular   Accelerators",
    "url": "https://arxiv.org/abs/physics/0505159"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bce9a8d4-062b-485e-93d0-233c5d6c30c4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}