Separatrix formalism applied to linacs accelerating particles with different charge to mass ratio

TL;DR: In this paper, the authors developed separatrix formalism for superconducting linear accelerators and showed that the behaviour of the quasi-synchronous velocity along a linac can be adjusted by a cavity phasing.

Abstract: We have developed separatrix formalism for superconducting (SC) linear accelerators [1]. It is shown that behaviour of the quasi-synchronous velocity along a linac can be adjusted by a cavity phasing. This gives a great possibility to accelerate particles with different charge to mass ratio. In this article we present design optimization of the accelerating structure from the longitudinal motion point of view. Starting from the structures for one kind of particles we come to the structures for acceleration more than one kind of particles.