HADRON BEAM-BEAM DIFFUSION IN 2.5-D*.

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The standard analysis of modulational diffusion for general nonlinearities is qualitatively summarized, and compared to the particular case of a beam-beam simulation with two kicks per turn, plus tune modulation. A simulation with realistic Tevatron parameters shows amplitude growth over long timescales of order 10{sup 4} synchrotrons periods. The simulated amplitude growth is qualitatively similar to the predictions of modulational diffusion, showing large discrete steps in the evolution speed as the tune distance from the nearest 2-D weak coupling resonance is varied. However, the simulation shows a fundamental difference is that the observed amplitude growth is approximately exponential in time, ... continued below

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6 pages

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SATOGATA,T. April 12, 1999.

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The standard analysis of modulational diffusion for general nonlinearities is qualitatively summarized, and compared to the particular case of a beam-beam simulation with two kicks per turn, plus tune modulation. A simulation with realistic Tevatron parameters shows amplitude growth over long timescales of order 10{sup 4} synchrotrons periods. The simulated amplitude growth is qualitatively similar to the predictions of modulational diffusion, showing large discrete steps in the evolution speed as the tune distance from the nearest 2-D weak coupling resonance is varied. However, the simulation shows a fundamental difference is that the observed amplitude growth is approximately exponential in time, and not approximately root time as predicted in the standard analysis. Possible reasons for this and other discrepancies are briefly discussed.

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6 pages

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INIS; OSTI as DE00011452

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  • WORKSHOP ON BEAM-BEAM EFFECTS IN LARGE HADRON COLLIDERS, CERN, GENEVA (CH), 04/12/1999--04/16/1999

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  • Report No.: BNL--66502
  • Report No.: KB0202000
  • Grant Number: AC02-98CH10886
  • Office of Scientific & Technical Information Report Number: 11452
  • Archival Resource Key: ark:/67531/metadc624418

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Office of Scientific & Technical Information Technical Reports

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  • April 12, 1999

Added to The UNT Digital Library

  • June 16, 2015, 7:43 a.m.

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  • Nov. 9, 2015, 12:26 p.m.

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SATOGATA,T. HADRON BEAM-BEAM DIFFUSION IN 2.5-D*., article, April 12, 1999; Upton, New York. (digital.library.unt.edu/ark:/67531/metadc624418/: accessed November 12, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.