Effects of overlapping parametric resonances on the particle diffusion process

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 5, 1999, Pages 6051-6060

  Ng, K Y ^b   Ball, M ^a   Brabson, B ^a   Budnick, J ^a   Ellison, M ^a   Fung, K M ^a   Hamilton, B ^a   Hsi, W C ^a   Jeon, D ^a   Kang, X ^a   Kiang, L L ^a   Lee, S Y ^a   Pei, A ^a   Riabko, A ^a   Sloan, T ^a  

^a INDIANA UNIVERSITY   (United States)

^b NONE   (United States)

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[No Author keywords available]

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ARTICLE;

EID: 4243556371     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.6051     Document Type: Article

References (25)

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4. High-intensity particle beams in synchrotrons can encounter transverse or longitudinal collective instabilities, particularly near the transition energy. Above the transition energy, a higher-energy particle takes a longer time to complete one revolution than that of the reference particle, as if it has a negative mass. Because all particles isochronously orbit around the synchrotron at the transition energy, i.e., the synchrotron tune becomes zero, the beam bunch can suffer a collective beam instability called the negative mass instability and lead to uncontrolled beam loss. To minimize the effect of collective beam instability, one usually employs controlled beam manipulation schemes by reducing the line density of the circulating beam, or a faster acceleration rate. Similarly, at low energy, a double-rf system has been used to alleviate space-charge effects by reducing the peak current of the beam bunch. Since the double-rf system increases the synchrotron tune spread of the beam so that Landau damping is enhanced 9, and at the same time changes the time structure of the beam bunch so that the effective impedance is modified, it has also been used to overcome multibunch instabilities.
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25. Small bunch dilution at (Formula presented) Hz for (Formula presented) shown in Fig. 44(f) was probably due to an uncontrollable (Formula presented) shift of the relative phase between two rf systems.