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WEA2C2 Measurement of Transverse Statistical Dependence for Non-Gaussian Beam Distributions via Resonances in the CERN PSB resonance, space-charge, experiment, luminosity 231
 
  • E.R. Lamb, F. Asvesta, H. Bartosik, G. Sterbini
    CERN, Meyrin, Switzerland
  • E.R. Lamb
    EPFL, Lausanne, Switzerland
  
  This work ad­dresses the ori­gins and the ef­fects of the sta­tis­ti­cal de­pen­dence in non-Gauss­ian beam dis­tri­b­u­tions with the ul­ti­mate goal to iden­tify the most rep­re­sen­ta­tive case for track­ing sim­u­la­tions across the CERN ac­cel­er­a­tor com­plex. Start­ing from the ob­ser­va­tion that non-Gauss­ian heavy-tailed trans­verse beam pro­files can be re­con­structed from 4D phase space dis­tri­b­u­tions under two dif­fer­ent con­di­tions (sta­tis­ti­cal in­de­pen­dence or de­pen­dence in the x-y plane), we con­sider space charge dom­i­nated beams in­ter­act­ing with the lat­tice non­lin­ear res­o­nances to per­form mea­sure­ments to study the mech­a­nisms that lead to non-Gauss­ian dis­tri­b­u­tions. Fi­nally, we ex­plore the beam dy­nam­ics im­pli­ca­tions of the above hy­pothe­ses in terms of de­pen­dent loss processes across the trans­verse planes.  
slides icon Slides WEA2C2 [1.249 MB]  
DOI • reference for this paper ※ doi:10.18429/JACoW-HB2023-WEA2C2  
About • Received ※ 30 September 2023 — Revised ※ 08 October 2023 — Accepted ※ 11 October 2023 — Issued ※ 21 October 2023
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