| [1] |
L. H. Thomas, Phil. Mag., 3: 1 (1927); V. Bargmann, L. Michel, and V. L. Telegdi, Phys. Rev. Lett., 2: 435 (1959) |
| [2] |
D. P. Barber, J. Ellison, and K. Heinemann, Phys. Rev. ST Accel. Beams, 7: 124002 (2004) |
| [3] |
M. Vogt, Bounds on the Maximum Attainable Equilibrium Spin Polarization of Protons at High Energy in HERA, Doctorate Thesis (Hamburg: University of Hamburg 2000); DESY preprint, DESY-THESIS 2000, 2000-054 |
| [4] |
G. H. Hoffstaetter and M. Vogt, Phys. Rev. E, 70: 056501 (2004) |
| [5] |
I. Alexseev et al, Design Manual - Polarized proton Collider at RHIC, BNL 1998 |
| [6] |
M. Bai el al, Phys. Rev. Lett., 96: 174801 (2006) |
| [7] |
M. Froissart and R. Stora, Nucl. Instrum. Methods, 7: 297 (1960) |
| [8] |
Y. Derbenev, and A. Kondratenko, Part. Accel., 8: 115 (1978) |
| [9] |
S. Y. Lee and S. Tepikian, Phys. Rev. Lett., 56: 1635 (1986) |
| [10] |
S. Y. Lee, Spin Dynamics and Snakes in Synchrotrons, (Singapore: World Scientific, 1997) |
| [11] |
E. D. Courant and R. D. Ruth, BNL preprint, BNL-Report 1980, 51270 |
| [12] |
S. R. Mane, FNAL preprint, FNAL-TM 1988, 1515 |
| [13] |
S. R. Mane, Nucl. Instrum. Methods A, 587: 188 (2008) |
| [14] |
S. R. Mane, Nucl. Instrum. Methods A, 485: 277 (2002) |
| [15] |
S. R. Mane, Nucl. Instrum. Methods A, 498: 1 (2003) |
| [16] |
S. R. Mane, Nucl. Instrum. Methods A, 528: 677 (2004) |
| [17] |
D. P. Barber, R. Jaganathan, and M. Vogt, Spin Tune in the Single Resonance Model with a Pair of Siberian Snakes, in Proceedings of the 15th International Spin Physics Symposium, Vol. 675, edited by Y I. Makdisi, A U. Luccio, and W. W. MacKay (New York: AIP Conference Proceedings, 2003), p.741; arXiv:physics/0502121 |
| [18] |
D. P. Barber and M. Vogt, New J. Phys., 8: 296 (2006) |
| [19] |
G. H. Hoffstaetter, High-energy polarized proton beams: A modern view, in Springer Tracts in Modern Physics, Vol. 218, (New York: Springer-Verlag, 2006), p.1-177 |
| [20] |
V. Schoefer et al, in Proceedings of IPAC2012 (New Orleans, USA, 2012); for the measured store polarization deterioration data in RHIC fills, refer to the RHIC spin group website: https://wiki.bnl.gov/rhicspin/RHIC_spin_Group |
| [21] |
Z. Duan, M. Bai, T. Roser and Q. Qin, in Proceedings of 21th International Spin Physics Symposium (Beijing, China, 2014) |
| [22] |
F. Schmidt, E. Forest, and E. McIntosh, CERN preprint, CERN-SL 2002, 2002-044-AP; KEK preprint KEK-REPORT 2002. 2002-3 |
| [23] |
S. Mane, KEK preprint, KEK-Report 2009, 2009-8 |
| [24] |
E. Forest, Y. Nogiwa, The FPP, and PTC Libraries, in Proceedings of 9th International Computational Accelerator Physics Conference, edited by O. Boine-Frankenheim, S. Russenschuck, and F. Schmidt, (Geneva:, CERN, 2006), p.17 |
| [25] |
V. I. Ptitsyn and Y. M. Shatunov, Helical Spin Rotators and Snakes, in Proceedings of Third Workshop on Siberian Snakes and Spin Rotators, edited by A. Luccio and T. Roser, (New York: BNL, 1994), p.15; BNL preprint, BNL-Report 1994, 52453 |
| [26] |
Y. K. Batygin and T. Katayama, Phys. Rev. E, 58: 1019 (1998) |
| [27] |
A. Luccio and M. Syphers, BNL preprint, AGS/RHIC/SN 1997, 068 |
| [28] |
K. Hirata, Handbook of Accelerator Physics and Engineering, edited by A. W. Chao, K. H. Mess, M. Tigner and F. Zimmermann, 2nd edition, 1st printing (ingapore: World Scientific, 2013) |
| [29] |
K. Heinemann and G. H. Hoffsttter, Physical Review E, 54: 4240 (1996) |
| [30] |
J. Laskar, C. Froeschl and A. Celletti, Physica D, 56: 253 (1992) |
| [31] |
V. Ptitsyn, M. Bai and T. Roser, in Proceedings of IPAC2010 (Kyoto, Japan, 2010) |