"TITLE","AUTHORS","SUBJECT","SUBJECT_RELATED","DESCRIPTION","PUBLISHER","AVAILABILITY","RESEARCH_ORG","SPONSORING_ORG","PUBLICATION_COUNTRY","PUBLICATION_DATE","CONTRIBUTING_ORGS","LANGUAGE","RESOURCE_TYPE","TYPE_QUALIFIER","JOURNAL_ISSUE","JOURNAL_VOLUME","RELATION","COVERAGE","FORMAT","IDENTIFIER","REPORT_NUMBER","DOE_CONTRACT_NUMBER","OTHER_IDENTIFIER","DOI","RIGHTS","ENTRY_DATE","OSTI_IDENTIFIER","PURL_URL" "Transversal effects of the space charge in an electrified particle beam (the proton synchrotron Saturne) (1963); Les effets transversaux de la charge d'espace dans les faisceaux de particules electrisees (synchrotron a protons Saturne) (1963)","Faure, J; Gouttefangeas, M; Levy-Mandel, R; Vienet, R; Lago, B; Loeb, J [Commissariat a l'Energie Atomique, Saclay (France). Centre d'Etudes Nucleaires]","43 PARTICLE ACCELERATORS; ANALYTICAL SOLUTION; BEAM INJECTION; BOLTZMANN EQUATION; CHARGE DENSITY; COULOMB FIELD; GAUSS FUNCTION; PROTON BEAMS; SATURNE; SPACE CHARGE; STATISTICAL MODELS","","This is a study of the repulsive electrostatic forces existing inside a proton beam focused by the magnetic field of a circular accelerator. The general equation that rules the variation of beam density versus time can be rewritten by a fairly simple reasoning, A numerical method to solve this equation is then developed. The next step is then to find an optimum beam, a gaussian distribution of density being proposed allowing to find an analytical solution to the problem. (authors) [French] On etudie l'action des forces electrostatiques de repulsion qui existent dans un faisceau de protons focalise par le champ magnetique d'un accelerateur circulaire. L'equation generale qui regit la variation de densite du faisceau au cours du temps est retrouvee par un raisonnement simple. On developpe une methode numerique de resolution de cette equation. On pose le probleme de la recherche d'un faisceau optimal et on propose une loi de repartition gaussienne de densite qui permet de trouver une solution analytique au probleme. (auteurs)","","Available from INIS in electronic form","CEA Saclay, 91 - Gif-sur-Yvette (France)","","France","1963-07-01","","French","Technical Report","","","","Other Information: 8 refs","","Medium: ED; Size: 36 pages","","CEA-R-2313","","TRN: FR06R2313110072","https://doi.org/","","2010-01-07","20808567","https://www.osti.gov/etdeweb/servlets/purl/20808567"