Abstract
We analytically examine the capabilities of rotation-powered pulsars as the sources of gamma rays and show that their phase-averaged gamma-ray flux is proportional to the product of the spin-down flux and the gap transfield thickness cubed irrespective of the emission models. Applying the scheme to the Crab pulsar, we demonstrate that the outer-gap model reproduces the observed GeV fluxes and that the slot-gap model reproduces at most 20% of the observed fluxes because of the small transfield thickness. An implication for the relationship between the gamma-ray and the spin-down fluxes is discussed.
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