Abstract
Abstract The small-amplitude limit of extended time-dependent Hartree-Fock theory (ETDHF), including full memory effects in the collision term, is studied in a systematic way. Linearization of the equation of motion yields an extended RPA equation for the frequencies and the amplitudes of the normal modes. The coherent solution of this equation gives the energy as well as the width of the collective RPA excitation. The escape width, due to particle emission, the spreading width, due to the decay of coherent ph states into 2p2h configurations, are calculated at finite temperature. Our results show that the calculations based on a Markovian collision term (such as the Boltzmann collision term) do not provide an adequate description for the RPA widths. Connections are made between the RPA widths and the classical friction coefficients.
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