http://arxiv.org/abs/2112.10478
We test the galaxy cluster fundamental plane using the X-COP sample of 12 clusters. The fundamental plane is given by the relation $T_X \propto M_s^{\alpha} r_s^{\beta}$, where $T_X$, $M_s$, and $r_s$ correspond to the gas temperature, NFW halo mass, and scale radius, respectively. We did this analysis using two different temperatures: the temperature at 300 kpc as well as the mass-weighted temperatures. With both these temperatures, we find a very tight fundamental plane with dispersion of about 0.02 dex. The best-fit values for $\alpha$ and $\beta$ are in-between those expected from virial equilibrium and self-similarity solution for secondary infall and collapse. However, the mass weighted temperatures are closer to the expectations from virial equilibrium. Our results are also consistent with a recent re-analyses of the fundamental plane for the CLASH sample after excluding the clusters with $T_X>12$ keV, as well as with using only the relaxed clusters subset.
S. Pradyumna and S. Desai
Tue, 21 Dec 21
6/86
Comments: 8 pages, 3 figures
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