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P.L. Gonthier, S. Coltisor (Hope College), A.K. Harding (NASA Goddard Space Flight Center)
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 population statistics and the correlation of the radio and \gamma-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 \gamma-ray peaks (or single peak). Our simulation also provides predictions for the number of radio-loud and radio-quiet \gamma-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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Bulletin of the American Astronomical Society,
© 2003. The American Astronomical Soceity.