Studying Non-Thermal Radiative Properties Of A Few Special Gamma-ray Pulsars

The Fermi Gamma-ray Space Telescope has discovered and confirmed about 205 gamma-ray pulsars since the science phase of the mission began in 2008 Au-gust, particularly using three year data from 2010 to 2013, Fermi collaboration published a catalog of 117 high-confidence> 0.1 GeV gamma-ray pulsars, in-cluding 40 millisecond pulsars (MSPs). In this catalog, the phases of radio and gamma-ray peaks in the light curves are almost the same in some gamma-ray pulsars, which is only in Crab pulsar before. How to physically explain this observed results is an important issue in current pulsar physics.This thesis will interpret theoretically the observed features of which the ra-dio peaks are aligned with gamma-ray peaks in the light curves of some gamma-ray pulsars. Based on the modified three-dimensional (3D) outer gap model, introducing the effect of a current-induced magnetic field, this will result in a different magnetosphere and a various light curve from those without this effect for a given pulsar. In the frame of this model, we carried out two works:(1) the observed pulsed gamma-ray properties of the Crab pulsar are explained; our re-sults show that modelling energy-dependent light curves and energy spectra for the Crab pulsar are consistent with the observed data well, where two peaks of gamma-ray light curve come from incoming emission of the south pole and out-going emission of the north pole, respectively. Moreover, this model can account for the observed phase alignment between radio and gamma-ray light curves; and (2) the model is applied to two MSPs:J1939+2134 and J1959+2048 in which phase alignments between radio and gamma-ray light curves are observed, the Markov Chain Monte Carlo technique is used to search for the best-fit model parameters, and modelling gamma-ray light curves are consistent with observed those.