Non-localities and Fermi motion corrections in $K^{-}$ atoms

Abstract

We evaluate the p-wave $K^{-}N$ amplitudes from the chiral Lagrangians and from there construct the p-wave part of the $K^{-}$ nucleus optical potential plus a small s-wave part induced from the elementary p-wave amplitude and the nuclear Fermi motion. Simultaneously, the momentum and energy dependence of the s-wave optical potential, previously developed, are taken into account and shown to generate a small p-wave correction to the optical potential. All the corrections considered are small compared to the leading s-wave potential, and lead to changes in the shifts and widths which are smaller than the experimental errors. A thorough study of the threshold region and low densities is conducted, revealing mathematical problems for which a physical solution is given.

revised version, 28 pages, Latex, 8 postscript figures. Submitted to Nucl. Phys. A

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• Formation spectra of light kaonic nuclei by in-flight ($\bar{K},N$) reactions with chiral unitary amplitude
• Formation of Deeply Bound Kaonic Atoms in (K^-,N) Reactions
• $K^{-}$-Nucleus Scattering at Low and Intermediate Energies
• The in-medium $\bar{K}N$ interaction within a chiral unitary approach