LAUSR

We present the splashback radius measurements around the SRG/eROSITA eFEDS X-ray selected galaxy clusters by cross-correlating them with HSC S19A photometric galaxies. The X-ray selection is expected to be less affected by systematics related to projection that affects optical cluster finder algorithms. We use a nearly volume-limited sample of 109 galaxy clusters selected in 0.5-2.0 keV band having luminosity LX > 1043.5 ergs−1h−2 within the redshift z < 0.75 and obtain measurements of the projected cross-correlation with a signal-to-noise of 17.43. We model our measurements to infer a three-dimensional profile and find that the steepest slope is sharper than −3 and associate the location with the splashback radius. We infer the value of the 3D splashback radius $r_{\rm sp} = 1.45^{+0.30}_{-0.26}\, {\rm h^{-1} Mpc}$. We also measure the weak lensing signal of the galaxy clusters and obtain halo mass log [M200m/h−1M⊙] = 14.52 ± 0.06 using the HSC-S16A shape catalogue data at the median redshift z = 0.46 of our cluster sample. We compare our rsp values with the spherical overdensity boundary r200m = 1.75 ± 0.08 h−1Mpc based on the halo mass which is consistent within 1.2σ with the ΛCDM predictions. Our constraints on the splashback radius, although broad, are the best measurements thus far obtained for an X-ray selected galaxy cluster sample.