2 - CERN Accelerator School

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Scattering processes - I Two main categories considered: Scattering on residual gas -> > similar to scattering on a thin foil (the gas replaces the foil…) foil Δε kσ = 2 2 2 14 MeV / c β pc t k q p β 2 pβ ⎟ p Lrad ⎟ ⎛ ⎞ ⎜ ⎝ ⎠ π NB: βpct ct represents the scatterer length until time t NB: β p ct represents the where average beta Intra-beam Intra beam scattering, i.e. Coulomb scattering between charged particles in the beam. Massimo Giovannozzi CAS - 2-14 14 October 2005 22 β This is is why good vacuum is is necessary!
Intra-beam Intra beam scattering Multiple (small angle) Coulomb scattering between particles. charged Single scattering events lead to Touscheck effect. All three degrees of freedom are affected. Scattering processes - II Massimo Giovannozzi CAS - 2-14 14 October 2005 23
Page 1 and 2: Introduction Emittance mittance gr
Page 3 and 4: Introduction - II In the case of a
Page 5 and 6: Introduction - IV Filamentation is
Page 7 and 8: x p i xi Multiple Coulomb scatterin
Page 9 and 10: Scattering through thin foil - IV F
Page 11 and 12: The solution of the system is Scatt
Page 13 and 14: Exercises… Exercises Compute the
Page 15 and 16: Steering errors: Injection process
Page 17 and 18: Example of beam distribution genera
Page 19 and 20: Optics errors: Optical parameters (
Page 21: ε after fil. rms = ε rms ⎛ ⎜
Page 25 and 26: Scattering processes - IV Features
Page 27 and 28: Diffusive phenomena: Others Resonan
Page 29 and 30: PS ejection: 72 bunches in 1 turn A
Page 31 and 32: Transverse manipulation: novel mult
Page 33 and 34: Tune variation Phase space portrait
Page 35: Some references D. Edwards, M. Syph

2 - CERN Accelerator School

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