Collective radiation spectra of the resonant inverse Compton scattering of the assembly of relativistic electrons in a variable magnetic field

Statistics – Applications

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Radiation Mechanism: Non-Thermal, Methods: Analytical, Gamma Rays: Bursts, Gamma Rays: Theory, Pulsars: General

Scientific paper

The resonant inverse Compton scattering (RICS) of the relativistic electrons in an intense magnetic field is an efficient radiation mechanism to produce the high energy gamma rays. For the purpose of the practical applications of the RICS process, in this paper, we present a basic formula of the collective RICS spectrum for an assembly of relativistic electrons moving along the direction of near-magnetic axis of a strongly magnetized neutron star or strange star. The derivation of the formula is based on the simple RICS emission spectrum of a single fast electron given in our previous paper. By using this basic formula, we calculate a series of collective RICS spectra for various typical ambient low-frequency radiation fields around the central neutron star, e.g. the bremsstrahlung, the black body radiation, and the non-thermal field with power law form spectrum, etc. We thus obtain the collective RICS spectra in quite simple analytical expressions, which is in favor of the comparison with the observed spectra. Our results show that the RICS process is a very efficient radiation mechanism if the `accommodation condition' is satisfied. We show that various RICS spectra have a common broken power-law form (different power-laws in two sections), despite of the form of the ambient low-frequency field. Our calculation confirms that the RICS process is an important radiation mechanism in the high energy band (hard X-rays and γ-rays) with high efficiency, which should be taken into account for the exploration of the γ-ray bursts (GRBs) and the γ-ray pulsars (GRPs).

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