Studies of collective instabilities in muon collider rings
- 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 Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 286506
- Report Number(s):
- CONF-9510295-; ISSN 0094-243X; TRN: 96:022443
- Journal Information:
- AIP Conference Proceedings, Vol. 372, Issue 1; Conference: 9. advanced ICFA beam dynamic workshop: beam dynamics and technology issues for Mu{sup +}Mu{sup -} colliders, Montauk, NY (United States), 15-20 Oct 1995; Other Information: PBD: May 1996
- Country of Publication:
- United States
- Language:
- English
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