Abstract
The study of spin dynamics in synchrotrons has evolved over the years as has the desire for achieving polarized particle beams of the highest possible beam energies. A selection of reviews of the dynamics of polarized beams may be found in [1]–[9]. In this chapter, we focus on experimental data and describe spin transport in circular accelerators and transport lines. Except where explicitly mentioned, radiative effects in electron accelerators or very high energy proton accelerators are not treated here. We begin with a review of the Thomas-BMT equation for spin motion. This will be given in terms of the SU(2) spinor representation. Spinor algebra will be introduced and applied in the description of techniques used for preserving the beam polarization during acceleration through depolarizing resonances at moderate beam energies.
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References
E.D. Courant: Bull. Am. Phys. Soc. 7, 33 (1962); E.D. Courant, R.D. Ruth: The Acceleration of Polarized Protons in Circular Accelerators. BNL 51270 (1980)
A.W. Chao: Polarization of a Stored Electron Beam. In: Proc. 1981 Fermilab Summer School, Batavia, 1981 vol. 1, p. 395
A.W. Chao: Nucl. Instr. Meth. A 180, 29 (1981)
A.W. Chao, K. Yokoya: An Alternative Longitudinal Polarization Scheme for Tristan. KEK 81–7 (1981)
B.W. Montague: Phys. Rep. 113, 1 (1984)
S.Y. Lee: Spin Dynamics and Snakes in Synchrotrons ( World Scientific, Singapore, 1997 )
D.P. Barber: Electron and Proton Spin Polarization in Storage Rings — an Introduction. In: Proc. Advanced ICFA Beam Dynamics Workshop on Quantum Aspects in Beam Physics ed. by P. Chen ( World Scientific, Singapore, 1999 )
G.H. Hoffstaetter: A Modern View of High Energy Polarized Proton Beams, Springer Tracts in Modern Physics, to be published
M. Vogt: Bounds on the Maximum Attainable Equilibrium Spin Polarization of Protons at High Energy in HERA. Ph.D. thesis, University of Hamburg, DESY-THESIS-2000–054 (2000)
L.H. Thomas: Philos. Mag. 3, 1 (1927)
V. Bargman, L. Michel, V.L. Telegdi: Phys. Rev. Lett. 2, 435 (1959)
J.D. Jackson: Classical Electrodynamics ( Wiley and Sons, New York, 1975 )
T. Roser: In Handbook of Accelerator Physics and Engineering ed. by A.W. Chao, M. Tigner, second edition (World Scientific, Singapore, Singapore, 2002 )
T. Limberg, P. Emma, R. Rossmanith: The North Arc of the SLC as a Spin Rotator. In: Proc. IEEE PAC 93, Washington, DC, 1993 ( IEEE, Piscataway 1993 ) p. 429
P. Emma, T. Limberg, R. Rossmanith: Depolarization in the SLC Collider Arcs. In: Proc. EPAC 94, London, 1994 ( World Scientific, Singapore 1994 )
T. Khoe, R.L. Kustom, R.L. Martin et al.: Part. Accel. 6, 213 (1975)
E. Grorud, J.L. Laclare, G. Leleux et al.: ‘Crossing of Depolarization Resonances at Saturne (Saclay)’. In: Proc. High Energy Spin Physics(Brookhaven, 1982)
F.Z. Khiari, P.R. Cameron, G.R. Court et al.: Phys. Rev. D 39, 45 (1989)
H. Sato, D. Arakawa, S. Hiramatsu et al.: Nucl. Instr. Meth. A 272, 617 (1988)
A.D. Krisch, S.R. Mane, R.S. Raymond, et al.: Phys. Rev. Lett. 63, 1137 (1989)
J.E. Goodwin, H.O. Meyer, M.G. Minty et al.: Phys. Rev. Lett. 64, 2779 (1990)
J.E. Goodwin: Ph.D. dissertation, Indiana University (1990)
H. Spinka, D. Underwood, L. Ahrens et al.: ‘Commissioning and Future Plans for Polarized Protons in RHIC’. In: Proc. PAC 2001, Chicago, Illinois, 2001 ( IEEE, Piscataway 2001 )
D.P. Barber, M. Boge, H.D. Bremer et al.: Nucl. Instr. Meth. A 338, 166 (1994)
R. Rossmanith, R. Schmidt. Nucl. Instr. Meth. A 236, 231 (1985)
D.P. Barber, G. Ripken: In: A. Chao, M. Tigner (eds.): Handbook of Accelerator Physics and Engineering, second edition ( World Scientific, Singapore, 2002 )
M. Böge, R. Brinkmann. Optimization of Electron Spin Polarization by Application of a Beam Based Alignment Technique in the HERA Electron Ring. In: Proc. 1995 Conf. in Accelerator Alignment, Tsukuba, Japan, 1995, p. 412
R. Brinkmann, M. Boege: Beam Based Alignment and Polarization Optimization in the HERA Electron Ring. In: Proc. EPAC 94, London, 1994 ( World Scientific, Singapore 1994 )
E. Gianfelice: Measurement of Beam Polarization and a 72°/72° Spin Matched Optics. In: HERA Accelerator Studies 2000 ed. by G. Hoffstaetter. DESY HERA 00–07 (2000)
R. Assmann, A. Blondel, B. Dehning et al.: ‘Deterministic Harmonic Spin Matching in LEP’. In: Proc. EPAC 94, London, 1994 ( World Scientific, Singapore 1994 ) p. 932
A.A. Sokolov, I.M. Ternov: Soy. Phys. Dokl. 8, 1203 (1964)
M. Froissart, R. Stora: Nucl. Instr. Meth. 7, 297 (1960)
Y. Cho, R.L. Martin, E.F. Parker et al. In: Proc. of High Energy Spin Symposium, Argonne, 1976 AIP Conf. Proc. 35(12), 396 (1976)
D.D. Caussyn, Ya.S. Derbenev, T.J.P. Ellison et al.: Phys. Rev. Lett. 73, 28572859 (1994)
S. Tepikian, S.Y. Lee, E.D. Courant: Part. Accel. 17, 1 (1986)
Ya.S. Derbenev, A.M. Kondratenko: In: Proc. of the 10th Intl. Conf. on High Energy Accel., Protvino, 1977 v. 2, p. 70
Ya.S. Derbenev: Part. Accel. 8, 115 (1978)
K. Steffen: Note on the Choice of Siberian Snake Configurations in Proton Rings. DESY HERA 85–24 (1985)
K. Steffen: Design of an Orthogonal Snake Pair for Proton Rings in the Few Gev Energy Range. DESY HERA 87–11 (1987)
K. Steffen: How to Avoid Imperfection Spin Resonances in a Protron Ring with Snakes. DESY 89–024 (1989)
E.D. Courant: Hybrid Helical Snakes and Rotators for RHIC. BNL-61920, BNLAD-133 (1995)
E. Courant, W. Fischer, A. Luccio et al.: ‘The Use of Helical Dipole Magnets in the RHIC Project’. In: Proc. Spin 96, Amsterdam, 1996
D.P. Barber, M. Boge, H.D. Bremer et al.: Phys. Lett. B343, 436 (1995)
B.W. Montague: CERN/ISR-LTD/76–2 (1976)
J. Buon: Prescriptions for 90-Percent Spin Rotators in Electron Rings. LAL/RT/81–08 (1981)
S.Y. Lee, S. Tepikian: Phys. Rev. Lett. 56, 1635 (1986)
R.A. Phelps, V.A. Anferov, B.B. Blinov et al.: Phys. Rev. Lett. 78, 2772 (1997)
T. Roser. In: Proc. 1990 Partial Siberian Snake Workshop, Brookhaven, NY, 1990
B. Blinov, C.M. Chu, E.D. Courant et al.: Phys. Rev. Lett. 73, 1621 (1994)
H. Huang, L. Ahrens, J.G. Alessi, et al.: Phys. Rev. Lett. 73, 2982 (1994)
M. Bai, L. Ahrens, J.G. Alessi et al.: Phys. Rev. Lett. 80, 21, 4673 (1998)
D.A. Crandell, V.A. Anferov, B.B. Blinov et al.: Phys. Rev. Lett. 77, 1763, 4673 (1996)
S.Y. Lee: Prospects for Polarization at RHIC and SSC. In: AIP Conf. Proc. 224, (1991) p.35
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Minty, M.G., Zimmermann, F. (2003). Polarization Issues. In: Measurement and Control of Charged Particle Beams. Particle Acceleration and Detection. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-08581-3_10
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