First results of proton spin tracking in a

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First results of proton spin tracking in a figure-8 ring V. S. Morozov JLab

First results of proton spin tracking in a figure-8 ring V. S. Morozov JLab F. Méot BNL MEIC R&D meeting, February 5, 2015

Ion Collider Ring Using an earlier 1415 m version of the ion collider ring

Ion Collider Ring Using an earlier 1415 m version of the ion collider ring Not a systematic study, none of the parameters have been optimized Main goals: – Learn Zgoubi – Demonstration of some of the aspects of the figure-8 concept Linear optics from Zgoubi V. S. Morozov and F. Méot, MEIC R&D meeting, February 5, 2015 2

Spin-Tracking Perfect Figure-8 Ring Ion collider ring without errors Zgoubi sanity check 60 Ge.

Spin-Tracking Perfect Figure-8 Ring Ion collider ring without errors Zgoubi sanity check 60 Ge. V/c protons Three particles moving along the closed orbit with initially longitudinal, radial, and vertical spins 200 103 turns = ~0. 94 s longitudinal radial V. S. Morozov and F. Méot, MEIC R&D meeting, February 5, 2015 vertical 3

Spin-Tracking Perfect Figure-8 Ring Three particles start at IP with 0. 2 mrad horizontal

Spin-Tracking Perfect Figure-8 Ring Three particles start at IP with 0. 2 mrad horizontal and vertical angles Effect of the incoherent part of the resonance strength due to emittance longitudinal radial V. S. Morozov and F. Méot, MEIC R&D meeting, February 5, 2015 vertical 4

Error Effect and Correction One of the arc dipoles rolled by 0. 2 mrad

Error Effect and Correction One of the arc dipoles rolled by 0. 2 mrad Closed orbit without correction Longitudinal spin without stabilization and with 1 longitudinal rotation V. S. Morozov and F. Méot, MEIC R&D meeting, February 5, 2015 5

Error Effect and Correction One of the arc quadrupoles misaligned vertically by 10 m

Error Effect and Correction One of the arc quadrupoles misaligned vertically by 10 m Longitudinal spin without stabilization and with 2 longitudinal rotation V. S. Morozov and F. Méot, MEIC R&D meeting, February 5, 2015 6

Acceleration From G = 114. 5 (59. 9 Ge. V/c) to 115. 5 (60.

Acceleration From G = 114. 5 (59. 9 Ge. V/c) to 115. 5 (60. 4 Ge. V/c) in 2 105 turns G Longitudinal spin in a perfect lattice V. S. Morozov and F. Méot, MEIC R&D meeting, February 5, 2015 7

Acceleration Longitudinal spin with the 0. 2 mrad dipole roll error without stabilization and

Acceleration Longitudinal spin with the 0. 2 mrad dipole roll error without stabilization and with 5 longitudinal rotation V. S. Morozov and F. Méot, MEIC R&D meeting, February 5, 2015 8

Conclusions Have a tool for spin tracking World’s first (as far as we can

Conclusions Have a tool for spin tracking World’s first (as far as we can tell) spin tracking in a figure-8 ring Demonstrated some of the figure-8 features Relatively easy to use Straightforward model assumptions Seems to work well on a million turn scale Would probably be hard to go beyond a few seconds of beam time Not entirely symplectic V. S. Morozov and F. Méot, MEIC R&D meeting, February 5, 2015 9