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Quad Channel Cooling Update: Evaluation of FODO Lattice in Study 2A at Fermilab

This document provides an update on the evaluation of quad channel cooling using a FODO lattice configuration for Study 2A, referencing previous work by Makino, Johnstone, Errede, and Berz. Using ICOOL simulations, the study examines a 1.5m long cell with specific parameters on cell angles and magnetic fields. It outlines the advantages of quad channels in terms of reduced magnetic field impact and costs, while also discussing the drawbacks of weak focusing and elliptical beam profiles. Recommendations and evaluations for integrating this cooling system are also included.

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Quad Channel Cooling Update: Evaluation of FODO Lattice in Study 2A at Fermilab

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  1. Quad Channel CoolingUpdate David Neuffer Fermilab

  2. Quad Channel • Previously developed by Makino, Johnstone, Errede, Berz • In this study, evaluated for Study 2A compatible case using ICOOL

  3. FODO Study2A • Use 1.5m long cell – FODO lattice • 60º to 90º/cell at P = 215MeV/c • max = 2.6m;min=0.9 to 0.6m • B’ = 4 to 6 T/m

  4. Simulation Results • Cooling in FODO cells • 2 1cm LiH slabs • Gas H2

  5. Advantages of Quad Channel • No large magnetic fields along the axis • Reduced breakdown problems • Magnets much cheaper • No Amplitude–Momentum correlation in Cooling • No beam angular momentum effects • No preferred absorber location (gas cavity OK) Disadvantages of FODO Quad channel • No low * region • Relatively weak focusing • Elliptical beam profiles

  6. Use in Study2A? • Replace Cooler with FODO cooler • Solenoid to lattice “match” with 4 quads, ~2m (not well-optimized) With H2 absorbers, similar to Study 2A LiH performance ECALC9 initially used, but ECALC9 valid only for symmetric (x=y) solenoidal lattices. With x-y version of Ecalc9, similar to Study2A To Do Better Matching Extend to Buncher/Rotator ??

  7. Evaluate with x-y emittances • Ecalc9xy written • Separately evaluates εx, εy, x, y, etc. • Acceptance is: • Ax + Ay < ref1, ref2 • with H2 absorber • Same as study 2A baseline • Study 2A acceptance same under ecalc9 and ecalc9xy • LiH absorber • Quad channel, match not well optimized Ecalc9xy quad channel Ecalc9 Study2A 5000 initial particles

  8. Extend to buncher/rotator ? • Try placing solenoid to quad match before buncher • Does not work well • Low-energy beam is immediately lost (E<~80 MeV) (P<150MeV/c) • ~1/2 beam lost in first few meters of buncher • Only ~50% of Study 2A • Quad focusing does not work for very broad energy spread of buncher/rotator • Does work for cooler • Matches energy acceptance quads solenoids

  9. Conference call Meeting

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