Radio Emission From Shell Type Supernova Remnants

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The majority of known Supernova remnants (SNRs) are of shell-type and practically all of them are the sources of synchrotron radio emission. The mechanism of diffusive shock acceleration (DSA) is commonly considered to be the most probable mechanism responsible for the generation of the radio emitting electrons in the shells of SNRs. The aim of this work is to apply this mechanism to the statistics of SNRs by using the well established results of the theory of DSA and resorting to minimal non-standard assumptions. In DSA several important aspects remain unclear. First, the problem of injection of electrons into the action of the mechanism remains unsolved. Also, it is not clear what is the minimal value of the shock Mach number at which DSA stops to work. We also attempt to answer these questions by comparing the model predictions with the radio observations. To do this we have developed the model describing the radio emission from the evolved shell type SNRs which is based on the assumption that the high energy radio emitting electrons are accelerated at the front of the forward shock wave by the mechanism of DSA in the test particle regime and that they are injected into the acceleration process directly from the downstream thermal distribution function. The nonlinear effects are ignored. Magnetic field is considered to be the interstellar compressed at the shock front. This model is capable to explain the rich statistics of SNRs consisting of more than 200 shell type SNRs in our and several nearby galaxies. Moreover our model is able to explain the radio emission from such objects, similar to the SNRs, as the radio remnants of Novae (e.g., GK Per) and Hypernovae, which energetically differ by ~ 8 orders of magnitude. We have formulated the theoretical dependences "luminosity - diameter" and "surface brightness - diameter" and compared them with the empirical ones. If the Galactic Loops actually are the SNRs than from the comparison of our model with the observations follows, that DSA works up to the very small values, say ~3, of the shock Mach numbers.

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