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When a low energy electron bunch (∼20  MeV) crosses from top of a high energy bunch (e.g., 3 GeV) at an angle (e.g., 45°), the Coulomb force exerted on the high energy bunch by the low energy bunch will kick a very short (∼150  fs) slice from the core of the high energy bunch. The slice of electron bunch can generate ultrashort x-ray pulse. In this paper, we will give analytical expressions about the angular kicks dependence on the crossing angle by assuming a Gaussian distribution for the low energy bunch. Applying the analytical results to the storage ring bunch in NSLS-II [1], we will discuss the optimized parameters of the electron beam slicing system in order to obtain a very short slice bunch and a sufficient separation between the slice and the core bunch

Dependence on crossing angle of electron beam slicing in storage rings