Radio and γ -ray Pulse Profiles

Mathematics – Logic

Scientific paper

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Scientific paper

Recent studies of population statistics of radio and γ -ray pulsars have indicated the importance of an appropriate description of the geometries of the radio and γ -ray emission beams to properly account for the emission patterns that play an essential role in the detection of radio and γ -ray pulsars. We discuss recent phenomenologically derived geometric models of the radio emission and luminosity, and a γ -ray emission geometry and luminosity derived theoretically from acceleration-cascade processes in the polar cap model. We present some preliminary results exemplifying the population statistics and the correlation of the radio and γ -ray pulse profiles. A study of such correlations can be used to constrain the emission geometry as well as assumptions made to describe the period dependence of the ratio of core-to-cone radio flux. We will explore the implications on the emission geometry suggested by the observations that a single radio pulse leads the pair of γ -ray peaks (or single peak). Our simulation also provides predictions for the number of radio-loud and radio-quiet γ -ray pulsars detectable by AGILE and GLAST.
This work has been support by the NASA under the grant NRA-00-01-ATP-080, NSF under the grant SAA 9876670, NSF-REU, and the Research Corporation.

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