Muon Cooling Rings Lattices composed of dipoles and

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Muon Cooling Rings Lattices composed of dipoles and solenoids A. Garren, H. Kirk, D.

Muon Cooling Rings Lattices composed of dipoles and solenoids A. Garren, H. Kirk, D. Cline, Y. Fukui, and K. Lee Muon Collider Workshop, BNL MC Workshop BNL 07 Dec. 3 -7, 2007

Dipole-only cooling ring The closed orbits are all similar so the ring has large

Dipole-only cooling ring The closed orbits are all similar so the ring has large momentum acceptance. MC Workshop BNL 07 Scaling 0 -gradient wedge dipole rings have been studied. They show good cooling potential. We wish to build on these by adding straight sections and solenoids in a racetrack configuration. Solenoids between the magnets increase the focusing to make each arc achromatic. The result is that the straight sections have zero dispersion. Such a ring can be easily changed into an S-shaped open configuration. 2

Small ring for cooling demonstration MC Workshop BNL 07 3

Small ring for cooling demonstration MC Workshop BNL 07 3

Racetrack ring Arcs have 360 deg phase, dispersion is zero in straight sections. Absorbers

Racetrack ring Arcs have 360 deg phase, dispersion is zero in straight sections. Absorbers in arcs, RF and injection in straight sections. MC Workshop BNL 07 4

b MC Workshop BNL 07 5

b MC Workshop BNL 07 5

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MC Workshop BNL 07 6

MC Workshop BNL 07 7

MC Workshop BNL 07 7

Features of the S-configuration Allows easy injection and extraction. Can be tapered as the

Features of the S-configuration Allows easy injection and extraction. Can be tapered as the beam is cooled. MC Workshop BNL 07 8

Simulation with ICOOL • Runs to date with initial cold beams show that the

Simulation with ICOOL • Runs to date with initial cold beams show that the equilibrium emittances in x, y and z vary predictably with absorber wedge angle. • Beam momentum around 100 Me. V/c looks favorable. • Dynamic aperture needs work. MC Workshop BNL 07 9

MC Workshop BNL 07 10

MC Workshop BNL 07 10

MC Workshop BNL 07 11

MC Workshop BNL 07 11

MC Workshop BNL 07 12

MC Workshop BNL 07 12

MC Workshop BNL 07 13

MC Workshop BNL 07 13