Full spin flipping in the presence of full Siberian Snake
This paper proposes a new design of spin flipper for high-energy accelerators to obtain full spin flip with the spin tune staying at half integer. The traditional technique of using a single rf spin rotator with a fixed spin rotation axis and an oscillating spin rotation, either an rf dipole or solenoid, as spin flipper to achieve full spin flip in the presence of a full Siberian snake has been demonstrated [ B. B. Blinov et al. Phys. Rev. Lett. 81 2906 (1998); B. B. Blinov et al. Phys. Rev. Lett. 88 014801 (2001); V. S. Morozov et al. Phys. Rev. ST Accel. Beams 7 024002 (2004); R. A. Phelps AIP Conf. Proc. 338 361 (1994); Ya. S. Derbenev et al. Part. Accel. 8 115 (1978)]. However, this technique requires one to change the snake configuration to move the spin tune away from half integer which is not practical for an operational high-energy polarized proton collider such as RHIC where beam and polarization lifetime are sensitive to small changes. Based on the conceptual designs to use rf dipoles to achieve full spin flip with the spin tune at half integer [T. Roser, BNL Report No. BNL-52453, 1994; R. A. Phelps, BNL Report No. BNL-52453, 1994], this paper presents a compact design of a spin flipper for a high-energy accelerator. The theory of the new spin flipper technique and numerical simulations are also presented.