Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002arep...46..684m&link_type=abstract
Astronomy Reports, Vol. 46, Issue 8, pp. 684-690
Astronomy and Astrophysics
Astronomy
7
Scientific paper
The kinetic equation for the distribution function of relativistic electrons is solved taking into account quasi-linear interactions with waves and radiative processes. Mean values of the pitch angles ψ are calculated. If the particles of the primary beam with Lorentz factors γb˜106 are resonant, then the condition γbψb≲1 is satisfied, the particle distribution is described by the function f ‖(γ) ∝ γ-4, and the synchrotron radiation spectrum is characterized by the spectral index α=3/2. On the other hand, if a cyclotron resonance is associated with particles of the high-energy tail of the secondary plasma (γt˜105), then γtψt≫1, and the distribution function has two parts—f ‖(γ) ∝ γ and f ‖(γ) ∝ γ-2—which correspond to the spectral indices α1=+1 and α2=-0.5. This behavior is similar to that observed for the pulsar B0656+14. The predicted frequency of the maximum νm=7.5×1016 Hz coincides with the peak frequency for this pulsar. The model estimate for the total synchrotron luminosity of a typical radio pulsar with hard radiation L s =3×1033 erg/s is in agreement with observed values.
Machabeli George Z.
Malov Igor F.
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