  The dipole-dipole interactions between excitons are of paramount importance
in the nanoscale structures. When two excitons are placed together they can
exchange the energy can manifest in the resonant Raman cross sections. We
provide theoretical framework for such effects by combining the coupled
oscillator model and perturbation theory. We apply this theory to a hybrid film
comprising semiconducting quantum dots and metallic carbon nanotubes. The
quantum dots exciton has a fixed energy, while the nanotube resonances span
across a larger range from 1.7 to \SI{1.93}{eV}. We acquire the resonant Raman
profiles of the pristine nanotubes and hybrids and find a relative shift
between them. The shift direction depends on the relative energies between the
CNT and QD exciton energies, as predicted by our theory.
