advances for a solenoid/dipole 6d cooling ring
DESCRIPTION
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 - PowerPoint PPT PresentationTRANSCRIPT
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Advances for a Solenoid/Dipole 6D Cooling Ring
X. Ding, UCLA
Muon Accelerator Program-Winter MeetingJefferson Lab
3/1/11
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Collaborators
• D. Cline (UCLA)• Al. Garren (PBL)• H. Kirk (BNL)• J. S. Berg (BNL)
X.Ding3/1/11
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Outline
1. Evolution of the Solenoid/Dipole Ring
Cooler Design 2. Analysis of lattices (Beam Dynamics)3. 6D Cooling4. Summary
X.Ding3/1/11
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Evolution of the Solenoid/Dipole Ring Cooler(Racetrack Lattice)
4X.Ding3/1/11
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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
3/1/11 X.Ding 5
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DipoleSolenoid
Evolution of the Solenoid/Dipole Ring Cooler(Four-sided Lattice)
X.Ding3/1/11
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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
3/1/11 X.Ding 7
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Racetrack ring 4 sided ring 4 sided ring(modified)
Momentum 145 MeV/c 145 MeV/c 145 MeV/c
Superperiods 2 4 4
Arc length 6 m 7 m 6 m
Straight section length 5.85 m 5 m 5 m
Superperiod length & xytunes
11.85 m, 1.748 12 m, 1.75 11 m, 1.75
Circumference 23.7 m 48 m 44 m
Evolution of the Solenoid/Dipole Ring Cooler
(Specifications)
X.Ding3/1/11
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Analysis of Lattices(Racetrack: Left, 4-sided: Right)
Dispersion is reduced in the 4-sided cooling ring
3/1/11 X.Ding 9
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Analysis of Lattices
X.Ding3/1/11
Time of Flight minimum for the 4-sided lattice moves to higher energy and it can increase lattice energy
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Analysis of Lattices Dynamic Aperture (4-sided Lattice)
X.Ding3/1/11
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6D Cooling (4 sided ring)
Layout of RF Cavity & LH2 Absorber in a 4-sided ring quadrant
B
SOL+ SOL- SOLS+ SOLS-
o o 2oo o o oo +os 2os oosoos 2os oo+os o o 2 oo o o 2oo
SOLS+ SOLS- SOL- SOL+LH2
RF RFLH2
RFRF
12X.Ding3/1/11
Accelerating gradient, RF phase and frequency
15 MV/m, 30 degree,201.25 MHz
Length and energy loss rate in the LH2 wedge absorber
19.5cm, 0.3 MeV/cm
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6D Cooling (4 sided ring)Cold Beam -- Equilibrium
(LH2-Wedge/23 deg, with Stochastics)
X.Ding3/1/11
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6D Cooling (4 sided ring)Damping without Stochastics
(LH2-Wedge/23 deg)
X.Ding3/1/11
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6D Cooling (4 sided ring) 6D Cooling with Stochastics
(LH2-Wedge/23 deg)
X.Ding3/1/11
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6D Cooling (4 sided ring) 6D Cooling with Stochastics
(LH2-Wedge/23 deg)
Number of turns 0 15 Reduction
Normalizes Horizontal emittance (mm) 6.97 4.955 1.4067
Normalized Vertical emittance (mm) 10.62 4.319 2.459
Normalized Longitudinal emittance (mm) 20.12 6.749 2.981
6D emittance (mm3) 1489.3 144.4 10.3
Transmission (%) 100 39.0
X.Ding3/1/11
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6D Cooling (Modified 4-sided Lattice)
3/1/11 X.Ding 17
4 sided lattice
Modified 4 sided lattice
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6D Cooling (Modified 4-sided Lattice)Cold Beam -- Equilibrium
(LH2-Wedge/23 deg, with Stochastics)
3/1/11 X.Ding 18
Transmission is much improved
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6D Cooling (Modified 4 sided ring) 6D Cooling with Stochastics
(LH2-Wedge/23 deg)
3/1/11 X.Ding 19
6D cooling is much improved and transmission is higher for the modified 4 –sided lattice
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6D Cooling (Modified 4 sided ring) 6D Cooling with Stochastics
(LH2-Wedge/23 deg)
3/1/11 X.Ding 20
Number of turns 0 15 Reduction
Normalizes Horizontal emittance (mm) 12.59 5.338 2.36
Normalized Vertical emittance (mm) 14.98 3.911 3.83
Normalized Longitudinal emittance (mm) 21.77 8.489 2.56
6D emittance (mm3) 1489.3 144.4 23.2
Transmission (%) 100 65.8
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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.
3/1/11 X.Ding 21