Non-localities and Fermi motion corrections in $K^-$ atoms
  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. 
C. Garcia-Recio (U. Granada, Spain), J. Nieves (U. Granada, Spain), E.   Oset (U. Valencia, Spain) and A. Ramos (U. Barcelon...