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arXiv · 2209.02471

Cross-channel constraints on resonant antikaon-nucleon scattering

Jun-Xu Lu·Li-Sheng Geng·Michael Doering·Maxim Mai
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Abstract

Chiral perturbation theory and its unitarized versions have played an important role in our understanding of the low-energy strong interaction. Yet, so far, such studies typically deal exclusively with perturbative or nonperturbative channels. In this letter, we report on the first global study of meson-baryon scattering up to one-loop order. It is shown that covariant baryon chiral perturbation theory, including its unitarization for the negative strangeness sector, can describe meson-baryon scattering data remarkably well. This provides a highly non-trivial check on the validity of this important low-energy effective field theory of QCD. We show that the $\bar{K}N$ related quantities can be better described in comparison with those of lower-order studies, and with reduced uncertainties due to the stringent constraints from the $\pi N$ and $K N$ phase shifts. In particular, we find that the two-pole structure of $\Lambda(1405)$ persists up to one-loop order reinforcing the existence of two-pole structures in dynamically generated states.

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Jun-Xu Lu, Li-Sheng Geng, Michael Doering, Maxim Mai. 2022-09-06. Cross-channel constraints on resonant antikaon-nucleon scattering. https://doi.org/10.1103/physrevlett.130.071902

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