The addition spectrum of interacting electrons: Parametric dependence

The addition spectrum of a disordered stadium is studied for up to 120 elec trons using the self-consistent Hartree-Fock approximation for different va lues of the dimensionless conductance and in the presence and absence of a neutralizing background. In all cases a Gaussian distribution of the additi on spectrum is reached for r(s) less than or equal to 1. An empirical scali ng for the distribution width in the presence of a neutralizing background is tested and seems to describe rather well its dependence on the dimension less conductance.