The energy states of a particle confined in a narrow space are discrete and lined up in the order of n=1,2,3,.... However, if the particle interacts with a radiation field, modification of the energy, referred to radiative correction, will occur and quantum states are expected to interchange. We investigated the center-of-mass confinement of excitons in CuCl films by a new method based on "nondegenerate two-photon excitation scattering." The energies of confined excitons in a 19.3 nm thick film are found to be lined up in the order of n=1,3,5, because the radiative correction is very weak. On the other hand, in a 35.3 nm thick film, in which the radiative correction becomes large, the energies of quantum states are ordered n=2,3,4,1,5,7. This interchange is confirmed by comparing the calculated scattering spectra, in which radiative correction is taken into account, with the measured ones.
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