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Advances for a Solenoid/Dipole 6D Cooling Ring

Advances for a Solenoid/Dipole 6D Cooling Ring. X. Ding, UCLA Muon Accelerator Program-Winter Meeting Jefferson Lab. Collaborators. D. Cline (UCLA) Al. Garren (PBL) H. Kirk (BNL) J. S. Berg (BNL). Outline. 1. Evolution of the Solenoid/Dipole Ring Cooler Design

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Advances for a Solenoid/Dipole 6D Cooling Ring

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  1. Advances for a Solenoid/Dipole 6D Cooling Ring X. Ding, UCLA Muon Accelerator Program-Winter Meeting Jefferson Lab

  2. Collaborators • D. Cline (UCLA) • Al. Garren (PBL) • H. Kirk (BNL) • J. S. Berg (BNL) X.Ding

  3. Outline 1. Evolution of the Solenoid/Dipole Ring Cooler Design 2. Analysis of lattices (Beam Dynamics) 3. 6D Cooling 4. Summary X.Ding

  4. Evolution of the Solenoid/Dipole Ring Cooler(Racetrack Lattice) X.Ding

  5. Evolution of the Solenoid/Dipole Ring Cooler(Problem with the Racetrack Lattice) • Excessive losses in lattice • Low working momentum (145 MeV/c): large dispersion • Very limited energy acceptance • Strong transverse/longitudinal couping • Non-robust cooling rate X.Ding

  6. Solenoid Dipole Evolution of the Solenoid/Dipole Ring Cooler(Four-sided Lattice) X.Ding

  7. Evolution of the Solenoid/Dipole Ring Cooler(Switch from racetrack to 4-sided) • Reduce dispersion • High energy operation: XZ partition numbers improved • Improve dynamic aperture • Achieve robust 6D cooling X.Ding

  8. Evolution of the Solenoid/Dipole Ring Cooler (Specifications) X.Ding

  9. Analysis of Lattices(Racetrack: Left, 4-sided: Right)Dispersion is reduced in the 4-sided cooling ring X.Ding

  10. Analysis of Lattices Time of Flight minimum for the 4-sided lattice moves to higher energy and it can increase lattice energy X.Ding

  11. Analysis of Lattices Dynamic Aperture (4-sided Lattice) X.Ding

  12. 6D Cooling (4 sided ring) Layout of RF Cavity & LH2 Absorber in a 4-sided ring quadrant SOL- SOL+ SOL- SOLS+ SOLS- SOLS+ SOLS- SOL+ LH2 LH2 B RF RF RF RF oos 2os oo+os o o 2 oo o o 2oo o o 2oo o o oo +os 2os oos X.Ding

  13. 6D Cooling (4 sided ring)Cold Beam -- Equilibrium (LH2-Wedge/23 deg, with Stochastics) X.Ding

  14. 6D Cooling (4 sided ring)Damping without Stochastics(LH2-Wedge/23 deg) X.Ding

  15. 6D Cooling (4 sided ring)6D Cooling with Stochastics (LH2-Wedge/23 deg) X.Ding

  16. 6D Cooling (4 sided ring)6D Cooling with Stochastics (LH2-Wedge/23 deg) X.Ding

  17. 6D Cooling (Modified 4-sided Lattice) 4 sided lattice Modified 4 sided lattice X.Ding

  18. 6D Cooling (Modified 4-sided Lattice)Cold Beam -- Equilibrium (LH2-Wedge/23 deg, with Stochastics) Transmission is much improved X.Ding

  19. 6D Cooling (Modified 4 sided ring)6D Cooling with Stochastics (LH2-Wedge/23 deg) 6D cooling is much improved and transmission is higher for the modified 4 –sided lattice X.Ding

  20. 6D Cooling (Modified 4 sided ring)6D Cooling with Stochastics (LH2-Wedge/23 deg) X.Ding

  21. Summary • The achromat lattices of the Dipole/Solenoid Ring Coolers are designed. • The analysis of the lattices for their linear parameters and dynamic aperture are performed. • The simulation demonstrates that our modified four sided ring cooler has a robust 6D cooling. X.Ding

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