PhysRevAccelBeams.24.094002.pdf (2.39 MB)
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Adiabaticity of emittance exchange due to crossing of the coupling resonance

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posted on 04.10.2021, 15:34 by A Bazzani, F Capoani, M Giovannozzi, Anatoly NeishtadtAnatoly Neishtadt
In circular accelerators, crossing the linear coupling resonance induces the exchange of the transverse emittances, provided the process is adiabatic. This has been considered in some previous works, where the description of the phenomenon has been laid down, and, more recently, where a possible explanation of the numerical results has been proposed. In this paper, we introduce a theoretical framework to analyze the crossing process, based on the theory of adiabatic invariance for Hamiltonian mechanics, which explains in detail various features of the emittance exchange process.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review Accelerators and Beams

Volume

24

Issue

9

Publisher

American Physical Society

Version

VoR (Version of Record)

Rights holder

© The Authors

Publisher statement

This is an Open Access Article. It is published by the American Physical Society under the Creative Commons Attribution 4.0 International Licence (CC BY 4.0). Full details of this licence are available at: https://creativecommons.org/licenses/by/4.0/

Acceptance date

09/09/2021

Publication date

2021-09-24

Copyright date

2021

eISSN

2469-9888

Language

en

Depositor

Prof Anatoly Neishtadt. Deposit date: 10 September 2021

Article number

094002

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