Abstract
An approach of vacuum acceleration by the longitudinal electric field of laser Bessel beam is proposed in this letter. Laser Bessel beam, truncated by a set of annular slits, exhibits several special zones over its propagation path, where an electron could avoid deceleration as it slides into the decelerating phase. Because of the “diffraction-free” properties of Bessel beam, a long interaction distance could be sustained and multistage configuration becomes possible. With the help of single particle model, the potential of a multistage acceleration scheme driven by a Laser Bessel beam is shown.