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We consider the Pauli-Fierz Hamiltonian with dynamical nuclei and investigatethe transitions between the resonant electronic energy levels under theassumption that there are no free photons in the beginning. Coupling the limitsof small fine structure constant and of heavy nuclei allows us to prove thevalidity of the Born-Oppenheimer approximation at leading order and to providea simple formula for the rate of spontaneous decay.

Spontaneous decay of resonant energy levels for molecules with moving nuclei