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We explore particle accelerator electrodynamics in the magnetosphere of arapidly rotating neutron star (NS). We address the importance of aself-consistent treatment of pair production, solving the Poisson equationdescribing the acceleration electric field, the Boltzmann equations forproduced electrons and positrons, and the radiative transfer equationsimultaneously. It is demonstrated that the accelerator solution is obtained ifwe only specify the NS spin period, magnetic dipole moment, magneticinclination angle with respect to the rotation axis, and the NS surfacetemperature, and that the solution corresponds to a quantitative extension ofprevious outer-gap models. We apply the scheme to the Crab pulsar and show thatthe predicted pulse profiles and phase-resolved spectrum are roughly consistentwith observations. Applying the same scheme to the slot-gap model, we show thatthis alternative model predicts too small photon flux to reproduceobservations, because the gap trans-field thickness is significantly restrictedby its pair-free condition.

High Energy Emission from Rotation-Powered Pulsars: Outer-gap vs. Slot-gap Models