Studies of collective instabilities in muon collider rings

Journal Article · Wed May 01 04:00:00 EDT 1996 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.50904· OSTI ID:286506

Cheng, W; Sessler, A M; Wurtele, J S ^[1]

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1. Lawrence Berkeley National Laboratory, Berkeley, California 94720 (United States)

Using a macroparticle model for both synchrotron motion and betatron motion, we provide formulae for the beam centroid shift, the tune shifts and the growth rates of the longitudinal and transverse head-tail instabilities. Both single turn and multi-turn effects are included. The transient amplitudes based on the two-particle model are estimated. We estimate the microwave instability for the muon collider, using three sets of design parameter, and three different impedance models: resonator, resistive wall and a SLAC-like or a CEBAF-like rf accelerating structure. For momentum compaction {alpha}{approx_equal}10{sup {minus}5}, the synchrotron oscillation period is about a hundred turns, the impedance of the ring is dominated by the rf cavities, and the microwave instability is well beyond threshold. For {alpha}{lt}10{sup {minus}6}, the synchrotron oscillation period is longer than the effective storage time, and the beam dynamics in the collider like that in a linac. For this case, the BBU instability is the most important collective effect. The implications of using BNS damping are briefly discussed. The growth rates of the head-tail instability due to longitudinal and transverse chromaticities, are presented. Finally we discuss briefly the beam dynamics issues related to the beam-beam interaction and a quasi-isochronous ring. {copyright} {ital 1996 American Institute of Physics.}

• Research Organization: Lawrence Berkeley National Laboratory
• Sponsoring Organization: USDOE
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 286506
• Report Number(s): CONF-9510295--
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 372; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
BEAM DYNAMICS
LEPTONIC DECAY
MUON BEAMS
STABILITY
STORAGE RINGS
TEV RANGE 01-10
TUNING