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PS2 Gamma Transition Jump Scheme. Wolfgang Bartmann PS2 Meeting, 20-Feb 2008. Ingredients. Calculation by Elias Métral and Dieter Möhl (see last meeting) results in a necessary Δγ tr of 1.5 for the PS2

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Ps2 gamma transition jump scheme

PS2 Gamma Transition Jump Scheme

Wolfgang Bartmann

PS2 Meeting, 20-Feb 2008


Ingredients
Ingredients

  • 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


Jump scheme
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


Optics without jump
Optics without jump

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= 11.60 kqd = -0.0737 m-2

PS2 Gamma Transition Jump Scheme


Optics for tr 0 5
Optics forΔγtr= -0.5

Qx= 14.28 2 additional quadrupole families:

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

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

PS2 Gamma Transition Jump Scheme


Optics for tr 1 0
Optics forΔγtr= +1.0

Qx= 14.50 2 additional quadrupole families:

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

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

PS2 Gamma Transition Jump Scheme


Conclusion and outlook
Conclusion and Outlook

  • 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 and consequences of optics distortions on phys./dyn. aperture

PS2 Gamma Transition Jump Scheme


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