| Paper | Title | Page |
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| MOPD34 | Relaxation, Emittance Growth, and Halo Formation in the Transport of Initially Mismatched Beams | 134 |
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A theoretical framework that allows to accurately calculate the distribution functions and the emittance growth of an initially mismatched charged-particle beam after it relaxes to equilibrium is presented. The theory can be used to obtain the fraction of particles which will evaporate from the beam to form the halo. It is applied both to highly space charge dominated beams*, as well as to beams with finite initial emittance** with general initial distributions***. Results based on an approximation of the theory that allows simpler analytic expressions for the final stationary state are also presented. The calculated emittance growth and final beam distribution are found to be in good agreement with N-particle beam simulations. * Nunes, Pakter, Rizzato, Phys. Plasmas 14, 023104 (2007). |