Population studies of radio and gamma-ray pulsars in the polar-cap geometry

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Scientific paper

Recent studies of population statistics of radio and gamma-ray pulsars have indicated the importance of an appropriate description of the geometries of the radio and gamma-ray emission beams to properly account for the emission patterns that play an essential role in the detection of radio and gamma-ray pulsars. We discuss recent phenomenologically derived geometric models of the radio emission and luminosity, and a gamma-ray emission geometry and luminosity derived theoretically from acceleration-cascade processes in the polar cap model. We present some preliminary results exemplifying the correlation of the radio and gamma-ray pulse profiles to the emission geometry. We show how the assumed beam geometries affect the population statistics of radio-loud and radio-quiet, gamma-ray pulsars as predicted to be detected by EGRET and GLAST as well as the correlation between the radio pulse and gamma-ray pulse profiles.

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