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Abstract: Particle-core interaction is the well-developed model of halo formation inhigh-intensity beams. In present paper an analytical solution for averagedsingle particle dynamics around uniformly charged beam core is obtained. Theproblem is analyzed through sequence of canonical transformations ofHamiltonian describing nonlinear particle oscillations. An analyticalexpression for maximum particle deviation from the axis is obtained. Results ofthe study are in good agreement with numerical simulations and with previouslyachieved data.



Author: Yuri K. Batygin

Source: https://arxiv.org/



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