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.