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  • Open Access

Single kick approximations for beam-beam deflections

Takahiko Koyama

  • Laboratory of Nuclear Studies, Cornell University, Ithaca, New York 14853

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Phys. Rev. ST Accel. Beams 2, 024001 – Published 22 February, 1999

DOI: https://doi.org/10.1103/PhysRevSTAB.2.024001

Abstract

A six-dimensional symplectic beam-beam interaction map using finite discrete slices of a strong beam is extended to infinitesimal slices. The new map is calculated under the assumption of a longitudinal Gaussian distribution with approximations. A round Gaussian beam is simulated to demonstrate accuracies of the approximations.

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References (4)

  1. S. Krishnagopal and R. Siemann, Phys. Rev. D 41, 2312 (1990).
  2. H. M. Kohji Hirata and F. Ruggiero, Part. Accel. 40, 205 (1993).
  3. R. Talman, in Physics of Particle Accelerators, Melvin Month and Margaret Deines, AIP Conf. Proc. No. 153 (AIP, New York,1987).
  4. S. Krishnagopal, Ph.D. thesis, Cornell University, 1991.

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Phys. Rev. ST Accel. Beams 2, 024001– Published 22 February, 1999
  • Received 19 November 1998
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