The X-ray virial relations for relaxed lensing clusters observed with Chandra

We examine the relations linking mass, X-ray temperature and bolometric luminosity for a sample of luminous, relatively relaxed clusters of galaxies observed with the Chandra Observatory, for which independent confirmation of the mass results is available from gravitational lensing studies. Within radii corresponding to a fixed overdensity Delta = 2500 with respect to the critical density at the redshifts of the clusters, the observed temperature profiles, scaled in units of T-2500 and r(2500), exhibit an approximately universal form which rises within r similar to 0.3r(2500) and then remains approximately constant out to r2500. We obtain best-fitting slopes for the mass-temperature and temperature-luminosity relations consistent with the predictions from simple scaling arguments i.e. M-2500 proportional to T-2500(3/2) and L-2500 proportional to T-2500(2), respectively. We confirm the presence of a systematic offset of similar to 40 per cent between the normalizations of the observed and predicted mass-temperature relations for both SCDM and Lambda CDM cosmologies.