Masses of galaxy clusters

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.