Constraints on Self-Interacting dark matter from relaxed galaxy groups

Self-interacting dark matter (SIDM) has been proposed as an alternative to the standard collisionless cold dark matter to explain the diversity of galactic rotation curves and core-cusp problems seen at small scales. Here, we estimate the constraints on SIDM for a sample of 11 relaxed galaxy groups with X-ray observations from Chandra and XMM-Newton. We fit the dark matter density distribution to the Einasto profile and use the estimated Einasto α parameter to constrain the SIDM cross-section, based on the empirical relation between the two, which was obtained in Eckert et al. (2022). We obtain a non-zero central estimate for the cross-section per unit mass (σ / m) for seven groups, with the most precise estimate obtained for NGC 5044, given by σ / m = 0 . 165 ± 0 . 025cm² / g , for dark matter velocity dispersion of about 300 km/s. For the remaining four groups, we obtain 95% c.l. upper limits on σ / m < 0.16-6.61 cm² / g with dark matter velocity dispersions between 200-500 km/s, with the most stringent limit for our sample obtained for the group MKW 4, given by σ / m < 0 . 16cm² / g for dark matter velocity dispersion of about 350 km/s.