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We recently performed a study of a sample of relaxed, cooling core galaxyclusters with deep Very Large Array observations at 1.4 GHz. We find that inthe central regions of A1835, A2029, and Ophiuchus the dominant radio galaxy issurrounded by a diffuse low-brightness radio emission that takes the form of amini-halo. Here we present the results of the analysis of the extended diffuseradio emission in these mini-halos. In order to investigate the morphologicalproperties of the diffuse radio emission in clusters of galaxies we propose tofit their azimuthally averaged brightness profile with an exponential,obtaining the central brightness and the e-folding radius from which the radioemissivity can be calculated. We investigate the radio properties of themini-halos in A1835, A2029, and Ophiuchus in comparison with the radioproperties of a representative sample of mini-halos and halos already known inthe literature. We find that radio halos can have quite different length-scalesbut their emissivity is remarkably similar from one halo to the other. Incontrast, mini-halos span a wide range of radio emissivity. Some of them, likethe Perseus mini-halos, are characterized by a radio emissivity which is morethan 100 times greater than that of radio halos. On the other hand, the newmini-halos in cooling core clusters analyzed in this work, namely A2029,Ophiuchus, and A1835, have a radio emissivity which is much more typical ofhalos in merging clusters rather than similar to that of the other mini-halospreviously known.

Comparative analysis of the diffuse radio emission in the galaxy clusters A1835, A2029, and Ophiuchus