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Adiabaticity of emittance exchange due to crossing of the coupling resonance

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 expl...

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Autores principales: Bazzani, A., Capoani, F., Giovannozzi, M., Neishtadt, A.I.
Lenguaje:eng
Publicado: 2021
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevAccelBeams.24.094002
http://cds.cern.ch/record/2766503
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author Bazzani, A.
Capoani, F.
Giovannozzi, M.
Neishtadt, A.I.
author_facet Bazzani, A.
Capoani, F.
Giovannozzi, M.
Neishtadt, A.I.
author_sort Bazzani, A.
collection CERN
description 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 of Hamiltonian mechanics, which explains in detail various features of the emittance exchange process.
id cern-2766503
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2021
record_format invenio
spelling cern-27665032021-10-02T02:45:18Zdoi:10.1103/PhysRevAccelBeams.24.094002http://cds.cern.ch/record/2766503engBazzani, A.Capoani, F.Giovannozzi, M.Neishtadt, A.I.Adiabaticity of emittance exchange due to crossing of the coupling resonancephysics.acc-phAccelerators and Storage RingsIn 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 of Hamiltonian mechanics, which explains in detail various features of the emittance exchange process.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.arXiv:2105.04219oai:cds.cern.ch:27665032021-05-10
spellingShingle physics.acc-ph
Accelerators and Storage Rings
Bazzani, A.
Capoani, F.
Giovannozzi, M.
Neishtadt, A.I.
Adiabaticity of emittance exchange due to crossing of the coupling resonance
title Adiabaticity of emittance exchange due to crossing of the coupling resonance
title_full Adiabaticity of emittance exchange due to crossing of the coupling resonance
title_fullStr Adiabaticity of emittance exchange due to crossing of the coupling resonance
title_full_unstemmed Adiabaticity of emittance exchange due to crossing of the coupling resonance
title_short Adiabaticity of emittance exchange due to crossing of the coupling resonance
title_sort adiabaticity of emittance exchange due to crossing of the coupling resonance
topic physics.acc-ph
Accelerators and Storage Rings
url https://dx.doi.org/10.1103/PhysRevAccelBeams.24.094002
http://cds.cern.ch/record/2766503
work_keys_str_mv AT bazzania adiabaticityofemittanceexchangeduetocrossingofthecouplingresonance
AT capoanif adiabaticityofemittanceexchangeduetocrossingofthecouplingresonance
AT giovannozzim adiabaticityofemittanceexchangeduetocrossingofthecouplingresonance
AT neishtadtai adiabaticityofemittanceexchangeduetocrossingofthecouplingresonance