• Open Access

Beam-beam amplitude detuning with forced oscillations

R. Tomás, X. Buffat, S. White, J. Barranco, P. Gonçalves Jorge, and T. Pieloni
Phys. Rev. Accel. Beams 20, 101002 – Published 9 October 2017

Abstract

Recently, relations were established between the coefficients of free and forced amplitude detuning polynomial expansions. The forced oscillations were considered only in a single plane. In this paper we extend and generalize previous results by developing analytical equations that transform the free amplitude detuning function into the amplitude detuning involving forced oscillations in both transverse planes. These are used to obtain closed approximated formulas for the beam-beam amplitude detuning with forced oscillations. Formulas are compared to single and multiparticle simulations.

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  • Received 12 July 2017

DOI:https://doi.org/10.1103/PhysRevAccelBeams.20.101002

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Accelerators & Beams

Authors & Affiliations

R. Tomás* and X. Buffat

  • CERN, CH-1211 Geneva, Switzerland

S. White

  • ESRF, 38000 Grenoble, France

J. Barranco, P. Gonçalves Jorge, and T. Pieloni

  • EPFL, CH-1015 Lausanne, Switzerland

  • *rogelio.tomas@cern.ch

Article Text

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Issue

Vol. 20, Iss. 10 — October 2017

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