The [ITAL]L[/ITAL][TINF]X[/TINF]-σ Relation for Galaxies and Clusters of Galaxies

Abstract
We demonstrate that individual elliptical galaxies and clusters of galaxies form a continuous X-ray luminosity-velocity dispersion (LX-σ) relation. Our samples of 280 clusters and 57 galaxies have LX ∝ σ4.4 and LX ∝ σ10, respectively. This unified LX-σ relation spans 8 orders of magnitude in LX and is fully consistent with the observed and theoretical luminosity-temperature scaling laws. Our results support the notion that galaxies and clusters of galaxies are the luminous tracers of similar dark matter halos.
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