Longitudinal stacking of ion beams with pulsed electron beam cooling

Longitudinal ion beam stacking with the combination of barrier rf system and cooling has been demonstrated in several experiments. Based on bunching effect found pulsed electron experiment at HIRFL-CSRm, we propose a new scheme using only beam, which voltage can be realized simultaneously. In this paper, introduce longitudinal along theory dynamics present simple analytical model. The simulation demonstrates that approach could useful technique without need for bucket hardware. Moreover, optimization limitation are discussed, distribution is studied. We expect method applied to accumulate RIBs low medium energy storage rings high-precision experiments, such as SRing HIAF project.