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PS2 Gamma Transition Jump Scheme

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PS2 Gamma Transition Jump Scheme

Wolfgang Bartmann

PS2 Meeting, 20-Feb 2008

- Calculation by Elias Métral and Dieter Möhl (see last meeting) results in a necessary Δγtrof 1.5 for the PS2
- Dispersion free straights and horizontal phase advances of ~90° per cell allow us to implement a first order jump scheme (i.e. change in γtr is proportional to pulse current) as performed in RHIC Δγtr= γtr3/2C ∙ ∑i ki∙Di2(Risselada, 1990)
- Asymmetric (delayed) jump in order to reduce space charge effects at transition (Dieter Möhl, 1969)

PS2 Gamma Transition Jump Scheme

3 QF Doublets (µx = 180°) per LSS to compensate for ΔQ

ΔDx/√βx

Δβx /βx

4 QF Quadruplets (µx = 90°) per arc to increase γtr

s

s

(Bai & Peggs, Beam 07)

PS2 Gamma Transition Jump Scheme

Qx= 14.28 (µ = 88.6°)chosen to avoid nonlinear resonances2 quadrupole families:

Qy= 11.62 (µ = 72.1°) kqf = 0.0824 m-2

γtr= 11.60kqd = -0.0737 m-2

PS2 Gamma Transition Jump Scheme

Qx= 14.282 additional quadrupole families:

Qy= 11.61Jump quads: kqf = 0.0791 m-2

γtr= 11.1Compensation quads: kqf = 0.0912 m-2

PS2 Gamma Transition Jump Scheme

Qx= 14.502 additional quadrupole families:

Qy= 11.54 Jump quads: kqf = 0.0897 m-2

γtr= 12.6Compensation quads: kqf = 0.0696 m-2

PS2 Gamma Transition Jump Scheme

- Proposed γtrjumps can be performed with reasonable quadrupole strenghtes
- For the Δγtr= +1.0 case: Tune shift has to be reduced to 0 with simultaneously optimising the optics
- With ΔγtrandΔt (follows from Elias) calculation of dI/dt for the magnets
- Estimation of:
possible second order effects andconsequences of optics distortions on phys./dyn. aperture

PS2 Gamma Transition Jump Scheme