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We show that the spectral energy distribution (SED) of the tightly focusedradiation generated by the superluminally moving current sheet in themagnetosphere of a non-aligned neutron star fits the gamma-ray spectra of theCrab, Vela and Geminga pulsars over the entire range of photon energies so fardetected by Fermi-LAT, MAGIC and H.E.S.S. from them: over $10^2$ MeV to $20$TeV. While emblematic of any emission that entails caustics, the SED introducedhere radically differs from those of the disparate emission mechanismscurrently invoked in the literature to fit the data in different sections ofthese spectra. We specify, moreover, the connection between the values of thefit parameters for the analysed spectra and the physical characteristics of thecentral neutron stars of the Crab, Vela and Geminga pulsars and theirmagnetospheres.

Gamma-ray spectra of the Crab, Vela and Geminga pulsars fitted with SED of the emission from their current sheet