Electrodynamic structure of an outer-gap accelerator: Invisibility of the TeV emission from a pulsar magnetosphere

We consider the gamma-ray emissions from an outer-magnetospheric gap around a rotating neutron star. Migratory electrons and positrons are accelerated by the electric field exerted in the gap to radiate copious gamma-rays via a curvature process. Some of these gamma-rays materialize as pairs within the gap by colliding with the X-rays, leading to a pair-production cascade. The replenished charges partially screen the original acceleration field, which is self-consistently solved from the Poisson equation for the electrostatic potential. By considering the gamma-ray spectrum explicitly, we compute the pair-production rate in the gap to solve the Boltzmann equations for gamma-rays, together with the continuity equations for particles and the Poisson equation. It is demonstrate that the pulsed emission above 5 TeV due to the inverse Compton scatterings could not be detected by the current ground-based telescopes for ordinary pulsar parameters.