{
  "annotation_id": "bbc761bd-050d-4dd5-87a2-98b6a72fdf80",
  "date_created": "2026-03-02T18:00:53.741000Z",
  "date_modified": "2026-03-02T18:00:53.741000Z",
  "file_hash": "0ca482b246a4147f4759c53eea632b3cf76cf35d1f52f77ae53189eca9c6c499",
  "private": false,
  "record": {
    "abstract": "Coherent beam-beam tune shift of unsymmetrical beam-beam interactions was\nstudied experimentally and numerically in HERA where the lepton beam has a very\nlarge beam-beam parameter (up to $\\xi_y=0.272$). Unlike the symmetrical case of\nbeam-beam interactions, the ratio of the coherent and incoherent beam-beam tune\nshift in this unsymmetrical case of beam-beam interactions was found to\ndecrease monotonically with increase of the beam-beam parameter. The results of\nself-consistent beam-beam simulation, the linearized Vlasov equation, and the\nrigid-beam model were compared with the experimental measurement. It was found\nthat the coherent beam-beam tune shifts measured in the experiment and\ncalculated in the simulation agree remarkably well but they are much smaller\nthan those calculated by the linearized Vlasov equation with the single-mode\napproximation or the rigid-beam model. The study indicated that the single-mode\napproximation in the linearization of Vlasov equation is not valid in the case\nof unsymmetrical beam-beam interactions. The rigid-beam model is valid only\nwith a small beam-beam parameter in the case of unsymmetrical beam-beam\ninteractions.",
    "arxiv_id": "physics/0409054",
    "authors": [
      "Lihui Jin",
      "Jicong Shi",
      "Georg H. Hoffstaetter"
    ],
    "categories": [
      "physics.acc-ph",
      "physics.class-ph"
    ],
    "doi": "10.1103/PhysRevE.71.036501",
    "journal_ref": "Phys.Rev.E71:036501,2005",
    "title": "Coherent Beam-Beam Tune Shift of Unsymmetrical Beam-Beam Interactions   with Large Beam-Beam Parameter",
    "url": "https://arxiv.org/abs/physics/0409054"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5e0963f1-8fc1-40d9-92f2-aa584f44d173",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}