One-Dimensional Electric Field Structure of an Outer Gap Accelerator

We re-study the one-dimensional electric field structure of an outer gap accelerator by considering the physical limit of trans-field height. Inside the outer gap, the charge depletion creates a large electric
field along the magnetic field lines. Electrons and/or positrons are accelerated to ultra-relativistic energies by this longitudinal electric field, and then radiate γ-ray photons by curvature radiation. The collision of these γ-rays and ambient x-ray photons further produce radiating particles, resulting in a stationary gap. We solve the structure of this longitudinal electric field together with the distributions of electrons and positrons and γ-ray photons for an aligned rotator. Our results indicate that the outer gap can extend to the light cylinder using reasonable parameters.