Time resolved luminescence measurements under resonant excitation were
performed at 10 K on the free exciton in very high quality GaAs-AlAs
quantum wells. At resonance, the luminescence intensity is increased b
y two orders of magnitude, and the decay is short. The radiative lifet
ime of the excitons in the radiant states is about 18 ps in agreement
with the theory of Hanamura and Andreani.