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In this paper we study the generation of very high energy (VHE) emission inCrab-like pulsars driven by means of the feedback of Cherenkov drift waves ondistribution of magnetospheric electrons. We have found that the unstableCherenkov drift modes lead to the quasi-linear diffusion (QLD), keeping thepitch angles from vanishing, which in turn, maintains the synchrotronmechanism. Considering the Crab-like pulsars it has been shown that the growthrate of the Cherenkov drift instability (ChDI) is quite high, indicating highefficiency of the process. Analyzing the mechanism for the typical parameterswe have found that the Cherenkov drift emission from the extreme UV to hard$X$-rays is strongly correlated with the VHE synchrotron emission in the GeVband.

Very high energy emission of Crab-like pulsars driven by the Cherenkov drift radiation