The Surface Density Profiles and Lensing Characteristics of Hickson's Compact Groups of Galaxies

A statistical method is developed to infer the typical density profiles of poor galaxy systems without resort to binning of data or assuming a given center to each system. The method is applied to the accordant redshift quartets in Hickson's compact groups (HCGs). The distribution of separations in these groups is consistent with a unique generalized modified Hubble surface density profile, with best-fit asymptotic slope beta = 1.4 and core radius R_c = 18 h^{-1} kpc, although a King profile (beta = 1) is also consistent with the data (with R_c = 6 h^{-1} kpc). These distributions are more concentrated than what has been previously determined for these groups. HCGs are unlikely to act as strong gravitational lenses, but analogous systems 5 to 10 times more distant should produce a non-negligible fraction of giant arcs.