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This work presents a particle-core model for an inhomogeneous and mismatched nonneutral charged particle beam. The beam is azimuthally symmetric, initially cold, and is confined by an external constant magnetic field inside a cylindrical conducting pipe. The core description is based on a previous developed Lagrangian approach. The relaxation time and the phase-space topology of the particle-core model is in reasonable agreement with full self-consistent N-particle beam numerical simulations

A particle-core model for inhomogeneous and mismatched charged particle beams