Many-body effects on the exciton spectra of self-organized InAs/GaAs quantu
m dots (QD's) are investigated in high-density photoluminescence experiment
s. Opposite renormalization of the ground- and excited-state transition ene
rgies is observed with increasing exciton occupation of the QD's. The groun
d-state transition energy decreases by similar to 16 meV whereas the excite
d-state transition energies increase up to similar to 26 meV for an average
occupation with 18 excitons corresponding to a volume density of similar t
o2 X 10(19) cm(-3). The shrinkage of the ground-state transition energy nor
malized to the exciton binding energy is significantly smaller than band-ga
p renormalization in higher dimensional systems supporting the strong confi
nement in the self-organized InAs/GaAs QD's.