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Excitation of half-integer resonances by random quadrupole field errors in the BETA-BEAM RCS

The Rapid Cycling Synchrotron of the Beta-Beam facility has been designed to operatewith horizontal and vertical tunes between 6 and 7 in order to avoid systematicresonances up to the fourth order. Nevertheless, unavoidable magnet imperfections mayexcite non systematic second order resonances which...

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Detalles Bibliográficos
Autores principales: Lachaize, A, Tkatchenko, A
Lenguaje:eng
Publicado: 02/0
Materias:
Acceso en línea:http://cds.cern.ch/record/1355347
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author Lachaize, A
Tkatchenko, A
author_facet Lachaize, A
Tkatchenko, A
author_sort Lachaize, A
collection CERN
description The Rapid Cycling Synchrotron of the Beta-Beam facility has been designed to operatewith horizontal and vertical tunes between 6 and 7 in order to avoid systematicresonances up to the fourth order. Nevertheless, unavoidable magnet imperfections mayexcite non systematic second order resonances which may pertub particle motion.In this paper an Hamiltonian treatment based on a well established formalism [1-3] is used to analyze the resonance excitation and to suggest correction schemes minimizing their effects.[1] A. Schoch. Theory of linear and non linear perturbations of betatron oscillations inalternating gradient synchrotrons. CERN 52-21, 1958.[2] G. Guignard. A general treatment of resonances in accelerators. CERN 78-11, 1978.[3] J-L. Laclare, G. Leleux, and A. Tkatchenko. Resonnances quadrupolaires- aleatoiresquadrupolaires et corrections. DSS-GERS- 74-91/TP-06, 1974.
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institution Organización Europea para la Investigación Nuclear
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spelling cern-13553472019-09-30T06:29:59Zhttp://cds.cern.ch/record/1355347engLachaize, ATkatchenko, AExcitation of half-integer resonances by random quadrupole field errors in the BETA-BEAM RCS12: TASK 12The Rapid Cycling Synchrotron of the Beta-Beam facility has been designed to operatewith horizontal and vertical tunes between 6 and 7 in order to avoid systematicresonances up to the fourth order. Nevertheless, unavoidable magnet imperfections mayexcite non systematic second order resonances which may pertub particle motion.In this paper an Hamiltonian treatment based on a well established formalism [1-3] is used to analyze the resonance excitation and to suggest correction schemes minimizing their effects.[1] A. Schoch. Theory of linear and non linear perturbations of betatron oscillations inalternating gradient synchrotrons. CERN 52-21, 1958.[2] G. Guignard. A general treatment of resonances in accelerators. CERN 78-11, 1978.[3] J-L. Laclare, G. Leleux, and A. Tkatchenko. Resonnances quadrupolaires- aleatoiresquadrupolaires et corrections. DSS-GERS- 74-91/TP-06, 1974.EURISOL-12-25-2009-0015oai:cds.cern.ch:135534702/09/09
spellingShingle 12: TASK 12
Lachaize, A
Tkatchenko, A
Excitation of half-integer resonances by random quadrupole field errors in the BETA-BEAM RCS
title Excitation of half-integer resonances by random quadrupole field errors in the BETA-BEAM RCS
title_full Excitation of half-integer resonances by random quadrupole field errors in the BETA-BEAM RCS
title_fullStr Excitation of half-integer resonances by random quadrupole field errors in the BETA-BEAM RCS
title_full_unstemmed Excitation of half-integer resonances by random quadrupole field errors in the BETA-BEAM RCS
title_short Excitation of half-integer resonances by random quadrupole field errors in the BETA-BEAM RCS
title_sort excitation of half-integer resonances by random quadrupole field errors in the beta-beam rcs
topic 12: TASK 12
url http://cds.cern.ch/record/1355347
work_keys_str_mv AT lachaizea excitationofhalfintegerresonancesbyrandomquadrupolefielderrorsinthebetabeamrcs
AT tkatchenkoa excitationofhalfintegerresonancesbyrandomquadrupolefielderrorsinthebetabeamrcs