Emittance limitation in cooled hadron beams

Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers

Volumn 42, Issue 7 A, 2003, Pages 4584-4592

  Okabe, Kota ^a   Okamoto, Hiromi ^a  

^a HIROSHIMA UNIVERSITY   (Japan)

Author keywords

Beam cooling; Coherent resonance; Space charge dominated beam; Storage ring

Indexed keywords

CHARGED PARTICLES; COMPUTER SIMULATION; COOLING; ELECTRIC SPACE CHARGE; ELECTRON RESONANCE; MOLECULAR DYNAMICS; STORAGE RINGS; TEMPERATURE;

EMITTANCE LIMITATION; HADRON BEAMS; PARTICLE IN CELL METHODS; SPACE CHARGE DOMINATED BEAM;

PARTICLE BEAMS;

EID: 0141717885     PISSN: 00214922     EISSN: None     Source Type: Journal    
DOI: 10.1143/jjap.42.4584     Document Type: Article

References (26)

1. J. Bosser (ed.): Proc. of Workshop on Beam Cooling and Related Topics (CERN, Geneva, 1994).
2. D. M. Maletic and A. G. Ruggiero (eds.): Crystalline Beams and Related Issues (World Scientific, Singapore, 1996).
3. J. S. Hangst, M. Kristensen, J. S. Nielsen, O. Poulsen, J. P. Schiffer and P. Shi: Phys. Rev. Lett. 67 (1991) 1238.
4. W. Petrich, M. Grieser, R. Grimm, A. Gruber, D. Habs, H.-J. Miesner, D. Schwalm, B. Wanner, H. Wernoe, A. Wolf, R. Grieser, G. Huber, R. Klein, T. Kühl, R. Neumann and S. Schröder: Phys. Rev. A 48 (1993) 2127.
5. N. Madsen, P. Bowe, M. Drewsen, L. H. Hornekaer, N. Kjaergaard, A. Labrador, J. S. Nielsen, J. P. Schiffer, P. Shi and J. S. Hangst: Phys. Rev. Lett. 83 (1999) 4301.
6. H. Okamoto and S. Machida: Nucl. Instrum. Meth. A 482 (2002) 65.
7. The space-charge potential itself does not induce resonances but the periodic nature of external fields is essential. In fact, a perfectly matched beam traveling through a uniform focusing channel is always stable against perturbation even at very high density as long as we take a well realistic distribution function.
8. F. J. Sacherer: Ph.D. thesis, University of California, Lawrence Radiation Laboratory Report UCRL-18454, 1968.
9. R. L. Gluckstern: Proc. of the Linear Accelerator Conf., ed. M. R. Tracy (Fermilab, Batavia, IL, 1970) p. 811.
10. H. Okamoto and K. Yokoya: Nucl. Instrum. Methods A 482 (2002) 52.
11. Owing to the existence of momentum dispersion, eq. (3) involves many additional terms that are not present in eq. (4). These dispersive terms can be a source of novel resonant instability. Sea ref. 6 for more detail.
12. I. Hofmann, L. J. Laslett, L. Smith and H. Haber: Part. Accel. 13 (1983) 145.
13. J. Struckmeier and M. Reiser: Part. Accel. 14 (1984) 227.
14. T. Katayama, A. Andou, K. Chiba, T. Hattori, T. Honma, K. Kanazawa, A. Mizobuchi, H. Mutou, N. Nakai, S. Ninomiya, A. Noda, K. Noda, M. Sekiguchi, F. Soga, T. Tanabe, N. Ueda, S. Watanabe, T. Watanabe and M. Yoshizawa: Proc. of the 2nd European Particle Accelerator Conf., eds. P. Martin and P. Mandrillon (Editions Frontiéres, Gif-sur-Yvette, 1990) p. 577.
15. S. Machida and M. Ikegami: AIP Conf. Proc. 448 (1998) 73.
16. T. P. Wangler, K. R. Crandall, R. S. Mills and R. Reiser: IEEE Trans. Nucl. Sci. 32 (1985) 2196.
17. I. Hofmann and J. Struckmeier: Part. Accel. 21 (1987) 69.
18. Since the Sacherer's argument of resonance crossing was based on the envelope equation, it was not very clear whether a higher-order stopband could give rise to tune locking. The results in Fig. 7, however, indicate that higher-order resonances can also be a source of tune locking.
19. J. Wei, X.-P. Li and A. M. Sessler: Brookhaven National Laboratory Report BNL-52381, Upton, New York (1993).
20. P. P. Ewald: Ann. Phys. (Leipzig) 64 (1921) 253.
21. It is possible to extend one-dimensional cooling force to the other two degrees of freedom by using the resonant coupling method. H. Okamoto, A. M. Sessler and D. Möhl: Phys. Rev. Lett. 72 (1994) 3977.
22. H. Okamoto: Phys. Rev. E 50 (1994) 4982.
23. J. Wei, H. Okamoto and A. M. Sessler: Phys. Rev. Lett. 80 (1998) 2606.
24. H. Okamoto and J. Wei: Phys. Rev. E 58 (1998) 3817.
25. H. Okamoto: Phys. Plasmas 9 (2002) 322.
26. J. Wei, A. Draeseke, A. M. Sessler and X.-P. Li: Crystalline Beams and Related Issues D. M. Maletic and A. G. Ruggiero (eds.): p. 229 in ref. 2.