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Progress in Quad Ring Coolers

Progress in Quad Ring Coolers. Ring Cooler Workshop UCLA March 7-8, 2002. Snowmass 01. Strategy. Explore Ring Cooling Designs Use only Quads & Dipoles Obtain Longitudinal Cooling Maintain/Reduce Transverse Emittance Linear Lattice Design (SYNCH) Cooling Simulation (ICOOL).

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Progress in Quad Ring Coolers

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  1. Progress in Quad Ring Coolers Ring Cooler Workshop UCLA March 7-8, 2002

  2. Snowmass 01 Strategy • Explore Ring Cooling Designs • Use only Quads & Dipoles • Obtain Longitudinal Cooling • Maintain/Reduce Transverse Emittance • Linear Lattice Design (SYNCH) • Cooling Simulation (ICOOL)

  3. The Snowmass Lattice • 4 m drift available for rf • Low b (25 cm) at absorber • Pseudo-combined function dipole • Allows for matching straight sections • 450 bending cell • b x max > b y max • Cell tune is ~ 3/4 x y

  4. Single Particle DynamicNo Stochastic Processes • Longitudinal phase space damping increases with degree of wedge angle • Horizontal phase space reduces for wedge angles < 150 and increases for angles > 150 • Vertical phase space reduces • at a rate independent of wedge angles 10 ns S D R D V

  5. Snowmass Lattice Performance Beam momentum 500 MeV/c 25 cm LH2 wedges Wedge angle 100 Rf frequency 201.25 MHz Emax = 10 MV/m 10 ns S D R • initial ey > initialex • ey and ez decreases • ex increases • Transmission 40% • Total Merit = Transmission x • (ex ey ez )initial/ (ex ey ez )final D V

  6. Equilibrium Emittances • Problem is noted with the equilibrium horizontal emittance, which is much • higher than expected Horizontal equilibrium emittance persists even for 00 wedges. Higher order dispersion effects?

  7. The Berkeley Lattice • 4 m drift available for rf • Low b (25 cm) at absorber • Pseudo-combined function dipole • Allows for matching straight sections • 22.50 bending cell • b y max > b x max • Cell tune is ~ 3/4 y x

  8. Berkeley Lattice Equilibrium Emittances • Horizontal equilibrium emittance increases with wedge angle but 00 wedge angle behaves as expected Longitudinal equilibrium emittance declines with increasing wedge angle

  9. Berkeley Lattice Performance Beam momentum 500 MeV/c 25 cm LH2 wedges Wedge angle 200 Rf frequency 201.25 MHz Emax = 8 MV/m 10 ns S D R • ey and ez decreases • ex nearly constant • Transmission 60% • Total Merit = Transmission x • (ex ey ez )initial/ (ex ey ez )final D V

  10. Consider Decay Losses ) final Total merit peaks near 8 full turns. 200 to 300 wedges are best.

  11. What has been accomplished • The SYNCH + ICOOL approach works well • Emittance exchange has been demonstrated • This quad ring design does not replace Study II front end but can follow it • Transmission losses are still high • Need to consider realistic quads (L = 20cm ; R = 20 cm) • Horizontal - vertical coupling should be considered • Skew quads • Solenoids • Need to incorporate soft edges

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