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

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

2000-12-20

arxiv.org/abs/nucl-th/0012075v3

Nucl.Phys. A703 (2002) 271-294

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1016/S0375-9474(01)01328-8

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.

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