  We study the target search of interacting Brownian particles in a finite
domain, focusing on the effect of inter-particle interactions on the search
time. We derive the integral equation for the mean first-passage time and
acquire its solution as a series expansion in the orders of the Mayer function.
For dilute systems relevant to most target search problems, we analytically
obtain the leading order correction to the search time and prove a universal
relation given by the particle density and the second virial coefficient.
Finally, we validate our theoretical prediction by Langevin dynamics
simulations for the various types of the interaction potential.
