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A momentum distribution of high energy particles around Crab pulsar
Authors:Satoshi Hinata
Institution:(1) Dept. of Astronomy, Yale University, New Haven, Conn., USA
Abstract:We determine the momentum distribution of the relativistic particles near the Crab pulsar from the observed X- and gamma-ray spectra (103sim109 eV), provided that the curvature radiation is responsible for it. The power law spectrum for the relativistic electrons,f(gamma)propgamma –5, reproduces a close fit to the observed high-energy photon spectrum. The theoretically determined upper limit to the momentum (due to radiation damping),gamma M ap8×106, corresponds to the upper cut-off energy of the gamma-ray spectrum, epsivgammaap109 eV. The lower limit to the momentum, gamma m ap1.8×105, is chosen such that flattening of the X-ray spectrum below 10 keV is simulated. The number density of these electrons is found to be much higher than the Goldreich-Julian density. We also discuss pulse shape and polarization of high-energy photons. The extremely high density of particles and the steep momentum spectrum are difficult to understand. This may imply that another, more efficient, mechanism is in operation.
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