Kaonic atoms and in-medium K-N amplitudes II: interplay between theory and phenomenology

A microscopic kaonic-atom optical potential $V_{K^{-}}^{(1)}$ is constructed, using the Ikeda-Hyodo-Weise NLO chiral $K^{-}N$ subthreshold scattering amplitudes constrained by the kaonic hydrogen SIDDHARTA measurement, and incorporating Pauli correlations within the Waas-Rho-Weise generalization of the Ericson-Ericson multiple-scattering approach. Good fits to kaonic atom data over the entire periodic table require additionally sizable $K^{-}NN$–motivated absorptive and dispersive phenomenological terms, in agreement with our former analysis based on a post-SIDDHARTA in-medium chirally-inspired NLO separable model by Ciepl'{y} and Smejkal. Such terms are included by introducing a phenomenological potential $V_{K^{-}}^{(2)}$ and coupling it self consistently to $V_{K^{-}}^{(1)}$. Properties of resulting kaonic atom potentials are discussed with special attention paid to the role of $K^{-}$-nuclear absorption and to the extraction of density-dependent amplitudes representing $K^{-}$ multi-nucleon processes.