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Beam-Beam Effects in Muon Collider (First Look). A.Valishev 8/7/06. Simulation Code. Developed at KEK by K.Ohmi for KEK-B, also applied to other e+e- machines Strong-strong PIC simulation, 1e5 macro-particles, transverse mesh 128x128 3D and 2D versions. 2D used here.
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Beam-Beam Effects in Muon Collider (First Look) A.Valishev 8/7/06
Simulation Code • Developed at KEK by K.Ohmi for KEK-B, also applied to other e+e- machines • Strong-strong PIC simulation, 1e5 macro-particles, transverse mesh 128x128 • 3D and 2D versions. 2D used here
Simulation Parameters 2 Transverse aperture = 10 sigma
N=3.3e11 xi=0.18, dmp=1e-6 R=1000 Qx=20.53 Qy=20.535 Qx=20.52 Qy=20.525
N=2e11 xi=0.11 Qx=Qy=20.52 dmp=1e-6 R=1000 Y0=0 Y0=0.2 sigma
N=2e11 xi=0.11 Qx=Qy=20.52 R=1000 Dmp=1e-6 Dmp=2e-4
N=5e11 xi=0.27 R=1000 dmp=1e-4 Qx=20.52 Qy=20.52 Qx=20.51 Qy=20.51
N=5e11 xi=0.27 Qx=20.505 Qy=20.507 dmp=1e-4 R=1000 R=1500
Summary • 2D simulation predicts that operation at xi~0.3 is possible in the vicinity of ½ resonance (20.505) • Things to study further • 3D case • Unequal tunes/beta* • Chromatic effects • Mobius optics • Include muon decay • ?