Abstract

We present a chiral K¯N interaction model that has been developed and optimized in order to account for the experimental data of inelastic K¯N reaction channels that open at higher energies. In particular, we study the effect of the higher partial waves, which originate directly from the chiral Lagrangian, as they could supersede the role of high-spin resonances employed in earlier phenomenological models to describe meson-baryon cross sections in the 2 GeV region. We present a detailed derivation of the partial wave amplitudes that emerge from the chiral SU(3) meson-baryon Lagrangian up to the d-waves and next-to-leading order in the chiral expansion. We implement a nonperturbative unitarization in coupled channels and optimize the model parameters to a large pool of experimental data in the relevant energy range where these new contributions are expected to be important. The obtained results are encouraging. They indicate the ability of the chiral higher partial waves to extend the description of the scattering data to higher energies and to account for structures in the reaction cross-sections that cannot be accommodated by theoretical models limited to the s-waves.

Highlights

  • Over the last forty years, strong interaction processes in the low-energy domain have been described with great success by chiral perturbation theory, an effective field theory with hadron degrees of freedom, which respects all the symmetries of the underlying theory of the strong interaction, quantum chromodynamics (QCD), its spontaneously broken chiral symmetry [1]

  • We have performed a new study of the meson-baryon interaction in the S = −1 sector including both s- and p-waves, aimed at improving our knowledge about the next-to-leading order (NLO) terms of the chiral SU(3) Lagrangian

  • This work presents a detailed derivation of the formalism needed to obtain the higher partial waves of the scattering amplitudes, beyond the s-wave component usually considered in the literature

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Summary

Introduction

Over the last forty years, strong interaction processes in the low-energy domain have been described with great success by chiral perturbation theory (χPT), an effective field theory with hadron degrees of freedom, which respects all the symmetries of the underlying theory of the strong interaction, quantum chromodynamics (QCD), its spontaneously broken chiral symmetry [1].

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