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PS2 Gamma Transition Jump Scheme

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

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  1. PS2 Gamma Transition Jump Scheme Wolfgang Bartmann PS2 Meeting, 20-Feb 2008

  2. 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

  3. 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

  4. 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

  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

  6. 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

  7. 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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