The inverse Compton (IC) interpretation of the excess EUV emission that was recently reported from several clusters of galaxies suggests that the amount of relativistic electrons in the intracluster medium is highly signi—cant, ergs. Considering Coma as the prototype galaxy cluster of nonthermal radi- W e ( 1061 ation, with synchrotron and IC —uxes measured in the radio and EUV regions, and possibly also in the hard X-ray region, we discuss implications of the IC origin of the EUV —uxes in the case of low intra- cluster magnetic —elds of order 0.1 kG as required for the IC interpretation of the observed excess hard X-ray —ux, and in the case of high —elds of order 1 kG, as suggested by Faraday rotation measurements. Although for such high intracluster —elds the excess hard X-ray —uxes will require an explanation other than by the IC eUect, we show that the excess EUV —ux can be explained by the IC emission of a ii relic ˇˇ population of electrons driven into the incipient intracluster medium at the epoch of starburst activity by galactic winds and later on reenergized by adiabatic compression and/or large-scale shocks transmitted through the cluster as the consequence of more recent merger events. Radiative cooling will naturally produce a sharp cutoU in the spectrum of this relic electron population, which is required, in the case of microgauss —elds, in order to avoid a contradiction with the observed radio —uxes. For high magnetic —elds, B 1 kG, the interpretation of the radio —uxes of Coma requires a second population of electrons injected recently. They can be explained as secondaries produced by a population of relativistic protons. We calculate the —uxes of c-rays to be expected in both the low and high magnetic —eld sce- narios and discuss possibilities to distinguish between these two principal options by future c-ray obser- vations. Subject headings: cosmic raysdiUuse radiationgalaxies: clusters: individual (Coma) ¨ galaxies: starburstintergalactic mediumradiation mechanisms: nonthermal
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