Collective instabilities of the 50-50 GeV muon collider

K. Ng
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Abstract

Single bunch instabilities for the 50-50 GeV muon collider are discussed. An impedance budget for the collider is estimated. An |/spl eta/|=1/spl times/10/sup -6/ is desired to avoid excessive RF systems. Potential-well distortion can be compensated by RF cavities. Longitudinal microwave growth can be reduced by smoothing the bunch distribution before injection. Transverse microwave instability can be damped by chromaticities and octupoles. Beam breakup can be cured by BNS damping in principle, but is nontrivial in practice.
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50-50 GeV介子对撞机的集体不稳定性
讨论了50-50 GeV介子对撞机的单束不稳定性。估计了对撞机的阻抗预算。一个|/spl eta/|=1/spl times/10/sup -6/是为了避免过多的射频系统。势阱失真可以通过射频腔来补偿。通过在注入前平滑束束分布,可以降低纵向微波生长。横向微波不稳定性可以通过色度和八极来抑制。理论上,BNS阻尼可以治愈梁的破碎,但在实际应用中,这是一个不容忽视的问题。
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