Surface Effects on Particle Self-Energies

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Abstract
The self-energy of a particle has a nearly singular behavior at a free surface of a Fermi liquid, as a result of the coupling to surface excitations. The imaginary part has a linear dependence on energy near the Fermi energy, whereas the effective mass shows a logarithmic divergence. The self-energy is calculated in semi-infinite nuclear matter with use of interactions constrained by self-consistency; the predictions are in qualitative agreement with experiment and more elaborate calculations for finite nuclei.