Imprints of mass accretion history on the shape of the intracluster medium and the TX-M relation

We use a statistical sample galaxy clusters from a large cosmological N-body hydrodynamics simulation to examine the relation between morphology, or shape, of the X-ray emitting intracluster medium (ICM) and the mass accretion history of the galaxy clusters. We find that the mass accretion rate (MAR) of a cluster is correlated with the ellipticity of the ICM. The correlation is largely driven by material accreted in the last similar to 4.5 Gyr, indicating a characteristic time-scale for relaxation of cluster gas. Furthermore, we find that the ellipticity of the outer regions (R similar to R-500c) of the ICM is correlated with the overall MAR of clusters, while ellipticity of the inner regions (less than or similar to 0.5 R-500c,) is sensitive to recent major mergers with mass ratios of >= 1:3. Finally, we examine the impact of variations in cluster mass accretion history on the X-ray observable mass scaling relations. We show that there is a continuous anticorrelation between the residuals in the T-X-M relation and cluster MARs, within which merging and relaxed clusters occupy extremes of the distribution rather than form two peaks in a bimodal distribution, as was often assumed previously. Our results indicate that the systematic uncertainties in the X-ray observable mass relations can be mitigated by using the information encoded in the apparent ICM ellipticity.