Sizes and Stellar Masses of the Little Red Dots Imply Immense Stellar Densities

The "Little Red Dots" (LRDs) are red and compact galaxies detected in JWST deep fields, mainly in the redshift range z = 4 – 8. Given their compactness and the inferred stellar masses in the hypothesis that LRDs are starburst galaxies, the implied stellar densities are immense. This Research Note uses an extensive catalog of LRDs from the PRIMER and the COSMOS-Web surveys to investigate these densities. We find a median (upper limit) on the effective radius of 80 pc, which leads to median (lower limit) values of the core density of ~10⁴ M_☉ pc^-3, and individual densities as high as ~10⁸ M_☉ pc^-3 which is ~10 times higher than the density necessary for runaway collisions to take place. For ~35% of the LRDs investigated, the lower limits are higher than the highest stellar densities observed in any system in any redshift range.