Phase-resolved spectra of the crab pulsar

We present a modified outer gap model to study the magnetospheric geometry, the light curve and the phase-resolved spectra of the Crab pulsar. A theoretical double-peak profile of the light curve containing the whole cycle is shown to be consistent with the observed light curve of the Crab pulsar by shifting the inner boundary of the outer gap inward to several stellar radii above the neutron star surface. In this model, the radial distances of the photons corresponding to different phases can be determined by numerical calculation, where the local electrodynamics, such as the accelerating electric field, the curvature radius of the magnetic field lines and the soft photon energy, are sensitive to the radial distances to the neutron star. With a synchrotron self-Compton mechanism, the phase-resolved spectra over the energy range from 100 eV to 3 GeV of the Crab pulsar can also be explained.