Magnetic Pair Attenuation Altitude Constraints in Pulsars

Statistics – Computation

Scientific paper

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Scientific paper

The Fermi gamma-ray pulsar database now exceeds 80 sources and has defined an important part of Fermi's science legacy, providing rich information for the interpretation of young energetic pulsars and old millisecond pulsars. Among the well established population characteristics is the common occurrence of exponential turnovers in the 1-10 GeV range. These turnovers are too gradual to arise from magnetic pair creation in the strong magnetic fields of pulsar inner magnetospheres, so their energy can be used to provide lower bounds to the typical altitude of GeV band emission. We explore such constraints due to single-photon pair creation transparency at and below the turnover energy. We update early computations that have been deployed in numerous Fermi pulsar papers, spanning both domains when general relativistic influences are important and locales where flat spacetime photon propagation is modified by rotational aberration effects. Our work clearly demonstrates that including near-threshold physics in the pair creation rate is essential to deriving accurate attenuation lengths and escape energies. The altitude bounds, typically in the range of 1-4 stellar radii, provide key information on the emission altitude in radio quiet pulsars that do not possess double-peaked pulse profiles.

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