Chiral SU(3) dynamics with coupled channels: inclusion of p-wave multipoles

Abstract

We extend our recent non-perturbative chiral SU(3) coupled channel approach to pion-and photon-induced η-and K-meson production off protons by including all strong and electromagnetic p-wave multipoles. We identify the p-wave amplitudes of the next-to-leading order SU(3) chiral meson-baryon Lagrangian with a coupled channel potential which is iterated to infinite orders in a separable Lippmann-Schwinger equation. Our approach to η-and K-photoproduction introduces no additional free parameters. By adjusting a few finite range parameters and the unknown parameters in the Lagrangian, we are able to simultaneously describe a very large amount of lowenergy data. These include the total and differential cross sections of the π-inducedThe polarization observables measured in η-and K-photoproduction are particularly sensitive to interference terms between the s-and p-wave multipoles. The total cross section data are remarkably well reproduced in all channels. There remain, however, some open questions concerning details of angular distributions and polarization observables.

A gauge-invariant chiral unitary framework for kaon photo- and electroproduction on the proton

“…refs. [21][22][23][24], but as a simplification only those diagrams were taken into account where the photon is absorbed first and then the produced meson-baryon pair undergoes final state interaction. This simplified treatment violates, in general, gauge invariance.…”

Nonlocalities and Fermi motion corrections in K− atoms

“…Similarly, the interpretation [17,18] of the enhancement of the K − yields in heavy ion reactions [19,20] relies on the value of the K − selfenergy in the nuclear medium. One of the characteristics of theKN interaction at low energies is the strong dominance of the s-wave amplitude, and theKN cross section to different channels can be very well described with only s-waves up to momenta of the order of 200 MeV or more [21][22][23][24][25].…”

Meson-baryon scattering to one-loop order in heavy baryon chiral perturbation theory

“…We have no further data available to fix these two parameters. Therefore, we use the values determined from elastic and inelastic scatterings [47] using coupled channels. Comparing our heavy-baryon Lagrangian L…”