We analyze luminescence spectra resulting from a resonant size-selecti
ve two-photon excitation of the low-energy confined Z(3)-exciton state
s in CuCl spherical nanocrystals. Excitation spectra,of the two-photon
-excited luminescence (TPL) bands and size dependences of band energie
s show that the TPL bands arise due to annihilation of the exciton in
the lowest-energy state excited both directly and through the higher-e
nergy confined states. It is shown that the oserved features of the TP
L fine structure can be unambiguously interpreted in terms of longitud
inal (L) and transverse (T) confined exciton states and resonant enhan
cement of phonon-assisted luminescence when the energy gap between IS
and 1P states of the T exciton is close to the LO-phonon energy.