Betatron pumping

A new particle acceleration method that is based on betatron acceleration is proposed for cyclic accelerators; however, in contrast to the betatron, the acceleration process can be repeated without loss of the previously gained energy. This is achieved by an appropriate radial change of the orbits. Use is being made of an azimuth-independent vector potential with components that are different functions of time. Explicit calculations are made in first-order perturbation theory. Accelerated are any magnetically guided charged particles independently of charge sign, particle mass and energy, cyclotron and betatron frequencies, and phases, also simultaneously. Large acceleration rates may be achievable, as well as a ratchet-like performance. Possible applications and implications are discussed