Author: Burov, A.V.
Paper Title Page
TUA1I1
Inverse Stability Problem in Beam Dynamics  
 
  • A.V. Burov
    Fermilab, Batavia, Illinois, USA
 
  Funding: Fermilab is operated by Fermi Research Alliance, LLC under Contract No. DE-AC02-07CH11359 with the United States Department of Energy.
Beam stability is conventionally described by means of the stability diagram, which is a threshold line in a complex plane of a particular intensity parameter, the coherent tune shift; the diagram separates stable and unstable states. The incoherent tune spread of the beam particles normally causes the transverse stability diagram to be an asymmetric bell-shaped curve above the real axis; for a given optical nonlinearity, the diagram is determined by the beam distribution function only. Recently, such a diagram was measured by means of an antidamper, see S. Antipov et al., Phys. Rev. Lett. 126, 164801 (2021). Such measurements open the door to a new method of beam diagnostics, finding the beam phase space density as a solution of an inverse stability problem. The main idea, methods of its implementation, possible obstacles and optimizations are discussed.
 
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THAFP04 Investigation of Tail-dominated Instability in the Fermilab Recycler Ring 403
 
  • O. Mohsen, R. Ainsworth, A.V. Burov
    Fermilab, Batavia, Illinois, USA
 
  In our recent operational run, a single bunch, tail-dominated instability was observed in the Fermilab Recycler ring. This instability exclusively occurs in the vertical plane when the chromaticity is close to zero. In this study, we conduct a detailed analysis of this instability under different operational parameters. We investigate the impact of space charge on the head-tail motion and propose potential interpretations of the underlying mechanism of the instability. Moreover, we explore methods to mitigate this instability in the future.  
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poster icon Poster THAFP04 [0.892 MB]  
DOI • reference for this paper ※ doi:10.18429/JACoW-HB2023-THAFP04  
About • Received ※ 25 September 2023 — Revised ※ 09 October 2023 — Accepted ※ 11 October 2023 — Issued ※ 29 October 2023
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