HADRON BEAM-BEAM DIFFUSION IN 2.5-D*. [electronic resource].

Imprint: Washington, D.C. : United States. Dept. of Energy. Office of Energy Research ; Oak Ridge, Tenn. : distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy, 1999
Physical description: 1 online resource (6 pages ) : digital, PDF file.

Online

Contributor: Brookhaven National Laboratory Researcher; United States. Dept. of Energy. Office of Energy Research. Sponsor; United States. Dept. of Energy. Office of Scientific and Technical Information. Distributor; SATOGATA, T. Author

Summary: 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 10⁴ 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.

Subjects: Amplitudes.; Diffusion.; Fermilab Tevatron.; Hadrons.; Modulation.; Resonance.; Computerized Simulation.; Beam-Beam Interactions.; Particle Accelerators.

Publication date: 1999
Note: Published through SciTech Connect.; 04/12/1999.; "bnl--66502"; " kb0202000"; "KB0202000"; WORKSHOP ON BEAM-BEAM EFFECTS IN LARGE HADRON COLLIDERS, CERN, GENEVA (CH), 04/12/1999--04/16/1999.; SATOGATA, T.
Funding information: AC02-98CH10886; RC1000