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Femtosecond bunch is a hot topic in the present world accelerator researchcommunity. The high peak current bunch will lead to the beam breakupphenomenon. In this paper, the scaling law with current for the singleultrashort bunch beam breakup in the radio frequency linear accelerator isproposed and obtained. The scaling power factor is roughly estimated to be 1/6,1/6 and 1/3 for the geometry wake, the surface roughness wake and theresistance wake respectively.

Scaling Law of Beam Break-Up for the Single Ultrashort Bunch in RF Linac