1 Advances for a Solenoid/Dipole 6D Cooling Ring X. Ding, UCLA Muon Accelerator Program-Winter Meeting Jefferson Lab 3/1/11.

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Presentation transcript:

1 Advances for a Solenoid/Dipole 6D Cooling Ring X. Ding, UCLA Muon Accelerator Program-Winter Meeting Jefferson Lab 3/1/11

2 Collaborators D. Cline (UCLA) Al. Garren (PBL) H. Kirk (BNL) J. S. Berg (BNL) X.Ding3/1/11

3 Outline 1. Evolution of the Solenoid/Dipole Ring Cooler Design 2. Analysis of lattices (Beam Dynamics) 3. 6D Cooling 4. Summary X.Ding3/1/11

Evolution of the Solenoid/Dipole Ring Cooler (Racetrack Lattice) 4X.Ding3/1/11

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 3/1/11X.Ding5

6 Dipole Solenoid Evolution of the Solenoid/Dipole Ring Cooler (Four-sided Lattice) X.Ding3/1/11

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 3/1/11X.Ding7

8 Racetrack ring4 sided ring (modified) Momentum145 MeV/c Superperiods244 Arc length6 m7 m6 m Straight section length5.85 m5 m Superperiod length & xytunes m, m, m, 1.75 Circumference23.7 m48 m44 m Evolution of the Solenoid/Dipole Ring Cooler (Specifications) X.Ding3/1/11

Analysis of Lattices (Racetrack: Left, 4-sided: Right) Dispersion is reduced in the 4-sided cooling ring 3/1/11X.Ding9

10 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

11 Analysis of Lattices Dynamic Aperture (4-sided Lattice) X.Ding3/1/11

6D Cooling (4 sided ring) Layout of RF Cavity & LH 2 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+ LH 2 RF LH 2 RF 12X.Ding3/1/11 Accelerating gradient, RF phase and frequency 15 MV/m, 30 degree, MHz Length and energy loss rate in the LH 2 wedge absorber 19.5cm, 0.3 MeV/cm

13 6D Cooling (4 sided ring) Cold Beam -- Equilibrium (LH 2 -Wedge/23 deg, with Stochastics) X.Ding3/1/11

14 6D Cooling (4 sided ring) Damping without Stochastics (LH 2 -Wedge/23 deg) X.Ding3/1/11

15 6D Cooling (4 sided ring) 6D Cooling with Stochastics (LH 2 -Wedge/23 deg) X.Ding3/1/11

16 6D Cooling (4 sided ring) 6D Cooling with Stochastics (LH 2 -Wedge/23 deg) Number of turns015Reduction Normalizes Horizontal emittance (mm) Normalized Vertical emittance (mm) Normalized Longitudinal emittance (mm) D emittance (mm 3 ) Transmission (%) X.Ding3/1/11

6D Cooling (Modified 4-sided Lattice) 3/1/11X.Ding17 4 sided lattice Modified 4 sided lattice

6D Cooling (Modified 4-sided Lattice) Cold Beam -- Equilibrium (LH 2 -Wedge/23 deg, with Stochastics) 3/1/11X.Ding18 Transmission is much improved

6D Cooling (Modified 4 sided ring) 6D Cooling with Stochastics (LH 2 -Wedge/23 deg) 3/1/11X.Ding19 6D cooling is much improved and transmission is higher for the modified 4 –sided lattice

6D Cooling (Modified 4 sided ring) 6D Cooling with Stochastics (LH 2 -Wedge/23 deg) 3/1/11X.Ding20 Number of turns015Reduction Normalizes Horizontal emittance (mm) Normalized Vertical emittance (mm) Normalized Longitudinal emittance (mm) D emittance (mm 3 ) Transmission (%)

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. 3/1/11X.Ding21