By combining the Self-Interaction Correction (SIC) with pseudopotentia
l perturbation theory, the role of self-interaction errors inherent to
the Local Density Approximation (LDA) to Density-Functional Theory is
estimated in the determination of ground-state and low-energy isomeri
c structures of small metallic clusters. Its application to neutral so
dium clusters with 8 and 20 atoms shows that the SIC provides sizeable
effects in Na-8, leading to a different ordering of the low-lying iso
meric states compared with ab initio LDA predictions, whereas for Na-2
0 the SIC effects are less pronounced, such that a quantitative agreem
ent is achieved between the present method and ab initio LDA calculati
ons.