{
  "abstract": "Based on the oscillation modes of a bunch subject to the space-charge force, we discuss the decoherence of the dipole oscillation, the beam transfer function, and the beam instability. The longitudinal phase space is discretized into \\(n_l\\times n_J\\) grids in the azimuthal and radial directions, respectively. The transverse dipole moment in the longitudinal phase space is represented by a vector of length \\(n_l n_J\\), and the transformation given by the Vlasov equation is represented by a matrix transformation of size \\(n_l n_J\\times n_l n_J\\). Solving the eigenvalue problem of this matrix gives the \\(n_l n_J\\) eigen-oscillation modes of the bunch. Using the resulting eigenvectors within a standard linear-algebraic treatment, we analyze these three phenomena. The analysis was performed for the Rapid Cycling Synchrotron (RCS) of the China Spallation Neutron Source (CSNS) using \\(n_l=41\\) and \\(n_J=40\\), and it visualizes the features related to the continuous distribution of the tune, Landau damping, and isolated modes separated from the continuous tune region.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.29094",
  "author_total": 7,
  "authors": [
    {
      "name": "Kazuhito Ohmi"
    },
    {
      "name": "Liangsheng Huang"
    },
    {
      "name": "Hanyang Liu"
    },
    {
      "name": "Li Rao"
    },
    {
      "name": "Renjun Yang"
    },
    {
      "name": "Sheng Wang"
    },
    {
      "name": "Mingyang Huang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0e6ycvgkps660.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.29094",
  "fulltext_url": null,
  "id": "0e6ycvgkps660",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.29094",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.acc-ph"
    ],
    [
      "openalex",
      "2202|Particle accelerators and beam dynamics"
    ]
  ],
  "openalex": "W7223237471",
  "pdf_url": "https://arxiv.org/pdf/2610.29094",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0e6ycvgkps660.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:19Z",
      "native_id": "2610.29094",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.29094"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.acc-ph",
      "subfield": "applied-instrumentation"
    }
  ],
  "title": "Oscillation modes, Decoherence, Beam Transfer Functions, and Instabilities for a Beam Subjected to Space-Charge Forces",
  "title_text": "Oscillation modes, Decoherence, Beam Transfer Functions, and Instabilities for a Beam Subjected to Space-Charge Forces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:19Z",
  "url": "https://research.draconitic.com/paper/0e6ycvgkps660",
  "venue": "arXiv",
  "versions": []
}