Estimates of diffusion due to long-range beam-beam collisions

Physical Review Special Topics - Accelerators and Beams

Volumn 5, Issue 7, 2002, Pages 41-52

  Papaphilippou, Y ^a,c   Zimmermann, F ^b  

^a BROOKHAVEN NATIONAL LABORATORY   (United States)

^b CERN   (Switzerland)

^c EUROPEAN SYNCHROTRON RADIATION FACILITY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18144432062     PISSN: 10984402     EISSN: 10984402     Source Type: Journal    
DOI: 10.1103/PhysRevSTAB.5.074001     Document Type: Article

References (17)

1. L. R. Evans, in Proceedings of the CERN Accelerator School on Antiprotons in Colliding Beam Facilities, Geneva, Switzerland, 1984 (CERN Report No. CERN 84-15, 1984), p. 319.
2. M. Meddahi, Ph.D. thesis, University de Paris VII, 1991 [CERN Report No. CERN SL/91-30 (BI), 1991].
3. K. Cornells, in Proceedings of the Workshop on Beam-Beam Effects in Large Hadron Colliders-LHC99, Geneva, 1999, edited by J. Poole and F. Zimmermann (CERN Report No. CERN-SL-99-039 AP), 1999, p. 2; T. Satogata and S. Peggs, ibid., p. 108; F. Zimmermann, Ph.D. thesis, University of Hamburg, 1993.
4. K. Cornells, in Proceedings of the Workshop on Beam-Beam Effects in Large Hadron Colliders-LHC99, Geneva, 1999, edited by J. Poole and F. Zimmermann (CERN Report No. CERN-SL-99-039 AP), 1999, p. 2; T. Satogata and S. Peggs, ibid., p. 108; F. Zimmermann, Ph.D. thesis, University of Hamburg, 1993.
5. K. Cornells, in Proceedings of the Workshop on Beam-Beam Effects in Large Hadron Colliders-LHC99, Geneva, 1999, edited by J. Poole and F. Zimmermann (CERN Report No. CERN-SL-99-039 AP), 1999, p. 2; T. Satogata and S. Peggs, ibid., p. 108; F. Zimmermann, Ph.D. thesis, University of Hamburg, 1993.
6. J. Irwin, Superconducting Super Collider Report No. 233, 1989 (unpublished).
7. Y. Papaphilippou and F. Zimmermann, Phys. Rev. ST Accel. Beams 2, 104001 (1999).
8. L. Leunissen, H. Grote, and F. Schmidt, in Proceedings of the EPAC 2000, Vienna, edited by M. Regler (European Physical Society, Geneva, 2000).
9. J. Laskar, Astron. Astrophys. 198, 341 (1988); H. S. Dumas and J. Laskar, Phys. Rev. Lett. 70, 2975 (1993); J. Laskar, Physica (Amsterdam) 67D, 257 (1993); J. Laskar and D. Robin, Part. Accel. 54, 183 (1996).
10. J. Laskar, Astron. Astrophys. 198, 341 (1988); H. S. Dumas and J. Laskar, Phys. Rev. Lett. 70, 2975 (1993); J. Laskar, Physica (Amsterdam) 67D, 257 (1993); J. Laskar and D. Robin, Part. Accel. 54, 183 (1996).
11. J. Laskar, Astron. Astrophys. 198, 341 (1988); H. S. Dumas and J. Laskar, Phys. Rev. Lett. 70, 2975 (1993); J. Laskar, Physica (Amsterdam) 67D, 257 (1993); J. Laskar and D. Robin, Part. Accel. 54, 183 (1996).
12. J. Laskar, Astron. Astrophys. 198, 341 (1988); H. S. Dumas and J. Laskar, Phys. Rev. Lett. 70, 2975 (1993); J. Laskar, Physica (Amsterdam) 67D, 257 (1993); J. Laskar and D. Robin, Part. Accel. 54, 183 (1996).
13. C. Polymilis, Ch. Skokos, G. Kollias, G. Servizi, and G. Turchetti, J. Phys. A 33, 1055 (2000).
14. A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Motion (Springer-Verlag, New York, 1992), p. 258.
15. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972), p. 376.
16. I. Gradshteyn and J. Ryzhik, Table of Integrals, Series, and Products (Academic Press, San Diego, 1994), 5th ed.
17. B. V. Chirikov, Phys. Rep. 52, 5 (1979).