The dependence of the 'Sigma-D relation' of supernova remnants on the energy spectrum of radiating particles

Astronomy and Astrophysics – Astronomy

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Corpuscular Radiation, Energy Spectra, Particle Energy, Radio Spectra, Supernova Remnants, Radio Sources (Astronomy), Regression Analysis, Spectral Correlation, Spectrum Analysis

Scientific paper

It is shown that the Sigma-D relation of supernova remnants (SNRs) in the radio frequency range is not uniform for all objects. An investigation of known theoretical models for the development of SNRs leads to the result that the spectral index of the radio spectrum is an important intrinsic variable, which must be taken into account in establishing the Sigma-D relation. A sample of thirty SNRs with known distances and fluxes at three frequencies was available to make a partition in different spectral index intervals and to derive different Sigma-D relations for these intervals. A linear correlation between the slope of the Sigma-D relation and the spectral index has been found, in agreement with the theoretical considerations.

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