Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1826563 | Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment | 2010 | 6 Pages |
Abstract
Particle–core interaction is a well-developed model of halo formation in high-intensity beams. In this paper, we present an analytical solution for averaged, single particle dynamics, around a uniformly charged beam. The problem is analyzed through a sequence of canonical transformations of the Hamiltonian, which describes nonlinear particle oscillations. A closed form expression for maximum particle deviation from the axis is obtained. The results of this study are in good agreement with numerical simulations and with previously obtained data.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Instrumentation
Authors
Yuri K. Batygin,