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For Crab‐like pulsars, we consider the synchrotron mechanism under the influence of relativistic effects of rotation in order to study the production of very‐high‐energy (VHE) pulsed radiation. The process of quasi‐linear diffusion (QLD) is applied to prevent the damping of synchrotron emission due to extremely strong magnetic fields. By examining the kinetic equation governing QLD, apart from the synchrotron radiative force we take into account the so‐called reaction force, which is responsible for corotation and influences plasma processes in the zone near to the light cylinder (LC) surface. We have found that the relativistic effects of rotation significantly change the efficiency of QLD. In particular, examining magnetospheric parameters typical for Crab‐like pulsars, it has been shown that, unlike the situation in which relativistic effects of rotation are not important at the LC surface, relativistic electrons may produce photons via the synchrotron mechanism even in the TeV domain. It is shown that VHE radiation is strongly correlated with relatively low‐frequency emission.

The influence of corotation on high‐energy synchrotron emission in Crab‐like pulsars