The addition spectrum of interacting electrons: Parametric dependence

The addition spectrum of a disordered stadium is studied for up to 120 electrons using the self-consistent Hartree-Fock approximation for different values of the dimensionless conductance and in the presence and absence of a neutralizing background. In all cases a Gaussian distribution of the addition spectrum is reached for $r_{\rm s} \leq 1$. An empirical scaling for the distribution width in the presence of a neutralizing background is tested and seems to describe rather well its dependence on the dimensionless conductance