We present high resolution 240 and 607 MHz GMRT radio observations , complemented with 74 MHz archival VLA radio observations of the Ophiuchus cluster of galaxies , whose radio mini-halo has been recently detected at 1400 MHz . We also present archival Chandra and XMM-Newton data of the Ophiuchus cluster . Our observations do not show significant radio emission from the mini-halo , hence we present upper limits to the integrated , diffuse non-thermal radio emission of the core of the Ophiuchus cluster . The XMM-Newton observations can be well explained by a two-temperature thermal model with temperatures of \simeq 1.8 keV and \simeq 9.0 keV , respectively , which confirms previous results that suggest that the innermost central region of the Ophiuchus cluster is a cooling core . This result is consistent with the occurrence of a mini-halo , as expected to be found in hot clusters with cool cores . We also used the XMM-Newton data to set up an upper limit to the ( non-thermal ) X-ray emission from the cluster . We also emphasize that the non-thermal X-ray emission obtained with XMM-Newton and INTEGRAL can not be produced by the putative AGN of the galaxy at the cluster center . The combination of available radio and X-ray data has strong implications for the currently proposed models of the spectral energy distribution ( SED ) from the Ophiuchus cluster . In particular , a synchrotron+IC model is in agreement with the currently available data , if the average magnetic field is in the range ( 0.02 - 0.3 ) \mu G. A pure WIMP annihilation scenario can in principle reproduce both radio and X-ray emission , but at the expense of postulating very large boost factors from dark matter substructures , jointly with extremely low values of the average magnetic field . Finally , a scenario where synchrotron and inverse Compton emission arise from PeV electron-positron pairs ( via interactions with the CMB ) , can be ruled out , as it predicts a non-thermal soft X-ray emission that largely exceeds the thermal Bremsstrahlung measured by INTEGRAL .