Proceedings of the 1997 Particle Accelerator Conference (Cat. No.97CH36167)
DOI: 10.1109/pac.1997.751004
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Evaluation of "round colliding beams" for Tevatron

Abstract: This paper presents investigation of the proposed use of round beams for increasing the luminosity in colliders. The main idea of round beams is briefly discussed. Numerical simulations of round colliding beams for the Tevatron are much in favor of round beams, because they provide reduction of harmful impact of beam-beam forces on beam sizes, particles diffusion and better stability with respect to errors and imperfections.

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Cited by 3 publications
(4 citation statements)
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“…This work has originally appeared in July 1998 as Preprint FERMILAB-FN-671. Ideas presented in this relatively unknown paper had sprung off previous studies of integrable systems [6,7] and round colliding beams [8]. The report has not only played a critical role in establishment of the beam-beam compensation with electron lenses in the Tevatron, but also was a stepping stone toward further development of the concept of nonlinear integrable optics [10] and ongoing experimental studies of such systems with magnets and electron lenses in the IOTA test accelerator at Fermilab [11].…”
Section: Acknowledgmentsmentioning
confidence: 86%
See 1 more Smart Citation
“…This work has originally appeared in July 1998 as Preprint FERMILAB-FN-671. Ideas presented in this relatively unknown paper had sprung off previous studies of integrable systems [6,7] and round colliding beams [8]. The report has not only played a critical role in establishment of the beam-beam compensation with electron lenses in the Tevatron, but also was a stepping stone toward further development of the concept of nonlinear integrable optics [10] and ongoing experimental studies of such systems with magnets and electron lenses in the IOTA test accelerator at Fermilab [11].…”
Section: Acknowledgmentsmentioning
confidence: 86%
“…The largest "leaf" is the antiproton footprint due to head-on collisions with round Gaussian proton beam with charge distribution 𝜌 𝑝 (𝑟) = 𝐶 exp(−𝑟 2 /2𝜎 2 ). The smaller one shows the footprint in the case when electron beam with a charge density profile proportional to 𝜌 𝑝 (𝑟) = −𝐶 • 0.83/(1 + (𝑟/𝜎) 8 ) is installed on the antiproton orbit. For convenience of presentation, we have separated the two plots horizontally, as in fact the second one would be around zero tune point 𝜈 ( 𝑥,𝑦) ≈ 0.…”
Section: Introductionmentioning
confidence: 99%
“…A breakthrough in the study of dynamical systems was the realization that nonlinear integrable optics (NIO) can be implemented in an accelerator with certain lattice symmetries using special magnets or electron lenses [2][3][4][5][33][34][35][36]. The design and first experimental results using nonlinear magnets in IOTA are described in refs.…”
Section: Nonlinear Integrable Opticsmentioning
confidence: 99%
“…The value of 𝜖 parameterizes the strength of the nonlinearity. The McMillan transformation can be generalized to two dimensions and applied to the transverse motion of a particle in a storage ring [2][3][4]33]. The ring is modeled as two main elements: (i) a linear arc with equal amplitude functions 𝛽 𝑥 = 𝛽 𝑦 = β at the electron lens and equal phase advances 𝜇 𝑥 = 𝜇 𝑦 = 2𝜋𝜈 equal to an odd multiple of 𝜋/2, corresponding to a tune 𝜈 = 1/4; (ii) a radial nonlinear kick 𝑘 𝑒 𝑟/ 1 + (𝑟/𝑎) 2 at the electron lens, where 𝑘 𝑒 is the strength (eq.…”
Section: Mcmillan Lensmentioning
confidence: 99%