Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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12 pp, LaTeX2e, FZJ-IKP(TH)-2000-26

Scientific paper

10.1016/S0370-2693(01)00078-8

We study the S-wave kaon-nucleon interactions for strangeness S=-1 in a novel relativistic chiral unitary approach based on coupled channels. Dispersion relations are used to perform the necessary resummation of the lowest order relativistic chiral Lagrangian. A good description of the data in the K^- p, \pi \Sigma and \pi \Lambda channels is obtained. We show how this method can be systematically extended to higher orders, emphasizing its applicability to any scenario of strong self-interactions where the perturbative series diverges even at low energies. Discussions about the differences to existing approaches employing pseudo-potentials in a regulated Lippmann-Schwinger equation are included. Finally, we describe the resonance content of our meson-baryon amplitudes and discuss its nature.

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