English

Meson-baryon reactions with strangeness -1 within a chiral framework

High Energy Physics - Phenomenology 2013-11-15 v2 Nuclear Theory

Abstract

We study meson-baryon scattering with strangeness -1 in unitary chiral perturbation theory. Ten coupled channels are considered in our work, namely π0Λ\pi^0 \Lambda, π0Σ0\pi^0 \Sigma^0, πΣ+\pi^- \Sigma^+, π+Σ\pi^+ \Sigma^-, KpK^- p, Kˉ0n\bar{K}^0 n, ηΛ\eta \Lambda, ηΣ0\eta \Sigma^0, K0Ξ0K^0 \Xi^0 and K+ΞK^+ \Xi^-. A large amount of experimental data are analyzed, including the recent precise measurement by the SIDDHARTA Collaboration of the energy shift and width of the 1s1s state of kaonic hydrogen. This leads to a strong constraint on the free parameters in our theory and of the resulting meson-baryon scattering amplitudes. We also analyze the uncertainty that stems by using several different strategies to perform the fits to data. It is found that large uncertainties in the subthreshold extrapolation of the KpK^-p scattering amplitude arise by employing either only one common weak pseudoscalar decay constant or distinguishing between fπf_\pi, fKf_K and fηf_\eta. However, in both cases a good reproduction of experimental data is obtained. We also discuss the pole content of the resulting SS-wave amplitudes, particularly in connection with the two-pole structure of the Λ(1405)\Lambda(1405) resonance.

Keywords

Cite

@article{arxiv.1210.3485,
  title  = {Meson-baryon reactions with strangeness -1 within a chiral framework},
  author = {Zhi-Hui Guo and J. A. Oller},
  journal= {arXiv preprint arXiv:1210.3485},
  year   = {2013}
}

Comments

21 pages, 7 figures and 9 tables. To match the published version

R2 v1 2026-06-21T22:20:33.152Z