The excited-state photoabsorption spectrum by an electron and a hole confin
ed in spherical quantum dots is calculated. As the dot size is reduced, the
calculated absorption peak shifts to the high-energy side, and splits into
two peaks in the limit of strong confinement. This splitting represents th
e changeover of the quantum size effect of the zero-dimensional excitons. O
ur theoretical result is in agreement with experimental data for the transi
ent infrared absorption spectra under size-selective excitation observed fo
r CuCl nanocrystals embedded in Nacl crystals. [S0163-1829(99)07415-9].