  A theoretical description of the radial density profile for charged particles
with Yukawa interaction in a harmonic trap is described. At strong Coulomb
coupling shell structure is observed in both computer simulations and
experiments. Correlations responsible for such shell structure are described
here using a recently developed model based in density functional theory. A
wide range of particle number, Coulomb coupling, and screening lengths is
considered within the fluid phase. A hypernetted chain approximation shows the
formation of shell structure, but fails to give quantitative agreement with
Monte Carlo simulation results at strong coupling. Significantly better
agreement is obtained within the hypernetted chain structure using a
renormalized coupling constant, representing bridge function corrections.
