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Space-Charge Dominated Beams in Synchrotrons
Author(s) -
S. Y. Lee,
H. Okamoto
Publication year - 1998
Publication title -
physical review letters
Language(s) - English
Resource type - Journals
eISSN - 1079-7114
pISSN - 0031-9007
DOI - 10.1103/physrevlett.80.5133
Subject(s) - betatron , physics , space charge , synchrotron , spallation , envelope (radar) , proton , space (punctuation) , equations of motion , dispersion (optics) , nuclear physics , charge (physics) , beam (structure) , neutron , computational physics , atomic physics , classical mechanics , optics , electron , quantum mechanics , telecommunications , radar , linguistics , philosophy , computer science
The equations of motion for space-charge dominated beams in synchrotron are derived. We that the space-charge force generates an identical defocusing function to the betatron motion dispersion function. The self-consistent envelope equation obeys the Kapchinskij–Vladimirskij-t equation similar to that of the linear transport system. We employ these results to analyze the sta of the crystalline beams, and discuss the implication on the high intensity proton driver for the neu spallation sources. [S0031-9007(98)06214-0]

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