Energy dependence of {bar{K}N} interaction in nuclear medium

When the $bar{K}N$ system is submerged in nuclear medium the $bar{K}N$ scattering amplitude and the final state branching ratios exhibit a strong energy dependence when going to energies below the $bar{K}N$ threshold. A sharp increase of $bar{K}N$ attraction below the $bar{K}N$ threshold provides a link between shallow $bar{K}$ -nuclear potentials based on the chiral $bar{K}N$ amplitude evaluated at threshold and the deep phenomenological optical potentials obtained in fits to kaonic atoms data. We show the energy dependence of the in-medium K ^??? p amplitude and demonstrate the impact of energy dependent branching ratios on the Λ-hypernuclear production rates.