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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...
Autores principales: | , , , |
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Lenguaje: | eng |
Publicado: |
2021
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1103/PhysRevAccelBeams.24.094002 http://cds.cern.ch/record/2766503 |
_version_ | 1780971227796471808 |
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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 |