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Generator-invertor-damper system of electron (positron) bunches moving in cold plasma

It is shown that high accelerating gradient can be obtained in a specially constructed system of electron (positron) bunches, moving in cold plasma with definite density. These combined bunch systems do not generate the wakefields behind and can pass through the plasma column in a periodic sequence. The consideration is carried out numerically and analytically in the one dimensional approach (which can be applied to a finite system when its transverse dimensions are larger than the plasma wavelength). The possibilities of the experimental tests by measuring the predicted energy gain are discussed on the examples of Argonne Wakefield Accelerator and the induction linac with typical parameters.