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Initial Beam-Beam studies

Initial Beam-Beam studies. January 20, 2014. Contents. The beam-beam code and the two parameter sets used. The beam-beam effects on the phase space of the proton beam. Effects of shifting the waist of the beam. Effects on the spent beams.

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Initial Beam-Beam studies

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  1. Initial Beam-Beam studies January 20, 2014

  2. Contents • The beam-beam code and the two parameter sets used. • The beam-beam effects on the phase space of the proton beam. • Effects of shifting the waist of the beam. • Effects on the spent beams. • Effects on the phase space of the spent electron beam.

  3. Beam code and Parameters • The code in use is Guinea pig, two versions are used for the different simulations, the C version, guinea 1.4.4 and the c++ version guinea_pig++

  4. Transverse Effects Nominal High Luminosity

  5. Longitudinal Effects Nominal High Luminosity

  6. Longitudinal Effects

  7. Luminosity Measurements with Offsets Nominal Parameters High Luminosity Luminosity m-2s-1 Luminosity m-2s-1 Horizontal Offset x/σ Horizontal Offset x/σ

  8. Angles With Offsets (Protons) Mean Angle μr Mean Angle μr Horizontal Offset x/σ Horizontal Offset x/σ

  9. Angles With Offsets (Electrons) Mean Angle μr Mean Angle μr Horizontal Offset x/σ Horizontal Offset x/σ

  10. Trajectories with offsets Nominal Parameters High Luminosity Head-on 1σ offset

  11. Luminosity Measurements with Tracking Nominal Parameters High Luminosity Luminosity m-2s-1 Luminosity m-2s-1 Turns x10 Turns x10 Turns x10 Turns x10

  12. Induce an instability Attempt to induce instability in recirculating proton beam by matching the electron beam to always hit with a set offset at the same section of the beam, based on the horizontal tune.

  13. Induced Instability • Red= nominal without longitudinal motion • Green=nominal with longitudinal motion • Blue=HL without longitudinal motion • Purple=HL with longitudinal motion Horizontal Position m Turn

  14. Induced Instability (cont’d) Nominal Parameters High Luminosity Normalized Emittance Normalized Emittance Turn Turn Red lines indicate no longitudinal motion, green lines indicate longitudinal motion

  15. Waist Shifts Nominal Parameters High Luminosity 1.1% increase 18.7% increase

  16. Waist Shifts Combined with Offsets Nominal Parameters High Luminosity Waist Shift Waist Shift Offset Offset

  17. Trajectories with offsets and waist shift Nominal Parameters 30,000 μm High Luminosity Head-on 1σ offset

  18. Spent Electron Beam Nominal Parameters High Luminosity Red particles show the beam without beam-beam effects, green particles show the electron beam with beam-beam effects.

  19. Spent Electron Beam (At Max Luminosity Waist Shift 0.6 σz) Nominal Parameters High Luminosity Red particles show the beam without beam-beam effects, green particles show the electron beam with beam-beam effects.

  20. Conclusions • The beam beam effects on the ion beam are rather small • The beam beam effects on the electron beam are quite large • The effects on the spent beam are of particular importance in the high luminosity parameter set • Could have a nonlinear response to offsets

  21. Backup 1

  22. Backup 2 STDEV Angle μr STDEV Angle μr Horizontal Offset x/σ Horizontal Offset x/σ

  23. Backup 3 STDEV Angle μr STDEV Angle μr Horizontal Offset x/σ Horizontal Offset x/σ

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