Abstract
The dynamics of excited electronic states at Ag surfaces is studied by evaluating the quasiparticle self-energy within the $\mathrm{GW}$ approximation. The screened Coulomb interaction W is shown to be sensitive to the spatial variation of $s\ensuremath{-}d$ screening near the surface. In the region of s-electron spill-out electronic damping is stronger than in the bulk due to the reduced $s\ensuremath{-}d$ polarization, giving rise to shorter surface-state lifetimes. The lifetime of Ag image states is expected to be strongly reduced due to decay into surface plasmons.
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