Exploring the spectral properties of radio relics – I: integrated spectral index and Mach number

Radio relics are the manifestation of electrons presumably being shock (re-)accelerated to high energies in outskirts galaxy clusters. However, estimates shocks' strength yield different results when measured with radio or X-ray observations. In general, Mach numbers obtained from observations larger than corresponding measurements. this work, we investigate number discrepancy. For purpose, used cosmological code ENZO simulate a sample clusters that host bright relics. each relic, computed integrated spectrum and surface brightness temperature jumps. Our analysis suggests differences follow way which observables related parts underlying distribution: more sensistive present only small fraction shock's surface, while measurements reflect average distribution. Moreover, very sensitive relic's orientation. If same relic is observed sides, varies significantly. On other hand, robust, as they unaffected by