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The Crab Pulsar has been recently detected at very high energies (VHE) withits pulsed VHE emission reaching up to $1.5$ TeV. The VHE peaks appearsynchronised with the peaks at GeV energies and show VHE spectra following hardpower-law functions. These new findings have been interpreted as evidence for agamma-ray production that happens very close to the light cylinder. Motivatedby these experimental results we consider the efficiency of magnetocentrifugalparticle acceleration in the magnetosphere of the Crab Pulsar, reexamining andextending results obtained in a previous work (Osmanov & Rieger 2009). It isshown that efficient magnetocentrifugal acceleration close to the lightcylinder could provide the required electron Lorentz factors of $5\times 10^6$and that the resulting inverse Compton (IC) scattering off thermal photonsmight explain the enigmatic TeV emission of the pulsar. We estimate thecorresponding VHE luminosity and provide a derivation of its spectralcharacteristics, that appear remarkably close to the observational results toencourage further studies.

Pulsed VHE emission from the Crab Pulsar in the context of magnetocentrifugal particle acceleration