Description
The application to observational data of the generalized scaling relations (gSRs) presented in Ettori et al. (2012MNRAS.420.2058E) is here discussed. We extend further the formalism of the gSR in the self-similar model for X-ray galaxy clusters, showing that for a generic relation M_tot_{prop.to}L^{alpha}^M_g_^{beta}^T^{gamma}^, where L, M_g_ and T are the gas luminosity, mass and temperature, respectively, the values of the slopes lay in the plane 4{alpha}+3{beta}+2{gamma}=3. Using published data set, we show that some projections of the gSR are the most efficient relations, holding among observed physical quantities in the X-ray band, to recover the cluster gravitating mass.
|