Advances for a solenoid dipole 6d cooling ring
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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

Advances for a Solenoid/Dipole 6D Cooling Ring

X. Ding, UCLA

Muon Accelerator Program-Winter Meeting

Jefferson Lab


Collaborators
Collaborators

  • D. Cline (UCLA)

  • Al. Garren (PBL)

  • H. Kirk (BNL)

  • J. S. Berg (BNL)

X.Ding


Outline
Outline

1. Evolution of the Solenoid/Dipole Ring

Cooler Design

2. Analysis of lattices (Beam Dynamics)

3. 6D Cooling

4. Summary

X.Ding



Evolution of the solenoid dipole ring cooler problem with the racetrack lattice
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


Evolution of the solenoid dipole ring cooler four sided lattice

Solenoid

Dipole

Evolution of the Solenoid/Dipole Ring Cooler(Four-sided Lattice)

X.Ding


Evolution of the solenoid dipole ring cooler switch from racetrack to 4 sided
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



Analysis of lattices racetrack left 4 sided right dispersion is reduced in the 4 sided cooling ring
Analysis of Lattices(Racetrack: Left, 4-sided: Right)Dispersion is reduced in the 4-sided cooling ring

X.Ding


Advances for a solenoid

Analysis of Lattices

Time of Flight minimum for the 4-sided lattice moves to higher energy and it can increase lattice energy

X.Ding


Advances for a solenoid

Analysis of Lattices

Dynamic Aperture (4-sided Lattice)

X.Ding


Advances for a solenoid

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


6d cooling 4 sided ring cold beam equilibrium lh 2 wedge 23 deg with stochastics
6D Cooling (4 sided ring)Cold Beam -- Equilibrium (LH2-Wedge/23 deg, with Stochastics)

X.Ding


6d cooling 4 sided ring damping without stochastics lh 2 wedge 23 deg
6D Cooling (4 sided ring)Damping without Stochastics(LH2-Wedge/23 deg)

X.Ding


6d cooling 4 sided ring 6d cooling with stochastics lh 2 wedge 23 deg
6D Cooling (4 sided ring)6D Cooling with Stochastics (LH2-Wedge/23 deg)

X.Ding


6d cooling 4 sided ring 6d cooling with stochastics lh 2 wedge 23 deg1
6D Cooling (4 sided ring)6D Cooling with Stochastics (LH2-Wedge/23 deg)

X.Ding


6d cooling modified 4 sided lattice
6D Cooling (Modified 4-sided Lattice)

4 sided lattice

Modified 4 sided lattice

X.Ding


6d cooling modified 4 sided lattice cold beam equilibrium lh 2 wedge 23 deg with stochastics
6D Cooling (Modified 4-sided Lattice)Cold Beam -- Equilibrium (LH2-Wedge/23 deg, with Stochastics)

Transmission is much improved

X.Ding


6d cooling modified 4 sided ring 6d cooling with stochastics lh 2 wedge 23 deg
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


6d cooling modified 4 sided ring 6d cooling with stochastics lh 2 wedge 23 deg1
6D Cooling (Modified 4 sided ring)6D Cooling with Stochastics (LH2-Wedge/23 deg)

X.Ding


Summary
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