Abstract
We investigate the low-energy K N interaction in nuclear matter including Pauli blocking, Fermi motion and binding effects. We use a coupled-channel approach based on the Chiral SU(3) Effective Lagrangian which describes all available low energy data of the coupled K N, πΣ, πΛ system. Due to the dynamics of the Λ (1405) resonance we find a strong non-linear density dependence of the K −p scattering amplitude in nuclear matter. The real part of the K −p scattering length changes sign already at a small fraction of nuclear matter density, less than 0.2 p o . This may explain the striking behaviour of the K − -nuclear optical potential found in the analysis of kaonic atom data.
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