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

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 Chan-dra Observatory, for which independent confirmation of the mass results is available from gravitational lensing studies. Within radii corresponding to a fixed overdensity ∆ = 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 ∼ 0.3 r 2500 and then remains approximately constant out to r 2500. We obtain best-fit slopes for the mass-temperature and temperature-luminosity relations consistent with the predictions from simple scaling arguments i.e. M 2500 ∝ T 3/2 2500 and L 2500 ∝ T 2 2500 , respectively. We confirm the presence of a systematic offset of ∼ 40 per cent between the normalizations of the observed and predicted mass-temperature relations for both SCDM and ΛCDM cosmologies.