The Dependence of the Spectrum on the Period and the Twist Effect of the Pulsars Magnetic Field

Astronomy and Astrophysics – Astronomy

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Scientific paper

The analysis of flux densities at 102, 408, and 2700 MHz shows that the mean spectral radio luminosity of pulsars Lv depends on their period P. The radio luminosity, on the average, decreases with increasing period at all three frequencies. The character and power of the period dependence Lv(P) are different at different frequencies causing the corresponding period dependence of the mean radio spectrum and, particularly, of the spectral index α1-4(102-408 MHz), α1-4(P) ∝ P1.7 for P ⪉ 1 s. The author draws the conclusion that period dependences of the spectral radio luminosity and of the spectrum of pulsars are caused by geometrical factors. Quantitative estimates show that the twist effect of magnetic field lines caused by the reaction of magnetic-dipole radiation may be such a geometrical factor, which increases the field line curvature (as compared to the dipole field). The twist curvature ρrot-1 ∝ P-3r2 (r is the radial distance from the star) causes the observed period dependence Lv(P) owing to the curvature emission mechanism. The twist effect of the magnetic field gives the possibility to estimate height levels r of the radio emission regions in a pulsar from the observed function Lv(P).

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