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

Abstract

We study meson-baryon scattering with strangeness -1 in unitary chiral perturbation theory. Ten coupled channels are considered in our work, namely ${\pi }^0\Lambda$, ${\pi }^0{\Sigma }^0$, ${\pi }^{-}{\Sigma }^{+}$, ${\pi }^{+}{\Sigma }^{-}$, $K^{-}p$, ${\bar{K}}^{0}n$, $\eta \Lambda$, $\eta {\Sigma }^0$, $K^0{\Xi }^0$ and $K^{+}{\Xi }^{-}$. 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 $1s$ 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 $K^{-}p$ scattering amplitude arise by employing either only one common weak pseudoscalar decay constant or distinguishing between $f_{\pi }$, $f_K$ and $f_{\eta }$. However, in both cases a good reproduction of experimental data is obtained. We also discuss the pole content of the resulting $S$-wave amplitudes, particularly in connection with the two-pole structure of the $\Lambda (1405)$ resonance.

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

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Cited by in corpus (106)

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• Two-pole structures in QCD: Facts, not fantasy!
• On the isospin 0 and 1 resonances from $\pi \Sigma$ photoproduction data
• Review of the $\mathbf{\Lambda }$(1405): A curious case of a strange-ness resonance
• Antikaon-nucleon interaction and Lambda(1405) in chiral SU(3) dynamics
• Lambda(1405) poles obtained from pi0-Sigma0 photoproduction data
• A Review on Partial-wave Dynamics with Chiral Effective Field Theory and Dispersion Relation
• Weak decay of Lambda_c^+ for the study of Lambda(1405) and Lambda(1670)
• QCD and the Strange Baryon Spectrum
• Structure of near-threshold quasi-bound states
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• Prediction of exotic doubly charmed baryons within chiral effective field theory
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• $K^{-}N$ amplitudes below threshold constrained by multinucleon absorption
• Hyperon II: Properties of excited hyperons
• Cross-channel constraints on resonant antikaon-nucleon scattering
• The pole structure of the Lambda(1405) in a recent QCD simulation
• Generalized weak-binding relations of compositeness in effective field theory
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• Decay properties of $N^{\ast }(1895)$
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• SU(3) flavor symmetry considerations for the $\bar{K}N$ coupled channels system
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