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The momentum dependence of the antikaon optical potential in nuclear matter is obtained from a microscopic and self-consistent calculation using the meson-exchange J"ulich interaction. Two self-consistent schemes are discussed, which would lead to substantially different predictions for the width of nuclear bound states. The effect of higher partial waves of the interaction, beyond the L=0 component, is studied and found to have moderate but non-negligible effects on the nuclear potential at zero momentum. At momenta as large as 500 MeV/c, relevant in the analysis of heavy-ion collisions, the higher partial partial waves modify the optical potential by nearly a factor of two.

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