S- and p-wave structure of $S=-1$ meson-baryon scattering in the resonance region

Abstract

We perform a simultaneous analysis of s- and p-waves of the $S=-1$ meson-baryon scattering amplitude using all low-energy experimental data. For the first time, differential cross section data are included for chiral unitary coupled-channel models. From this model s- and p-wave amplitudes are extracted and we observe both well-known $I(J^P)=0(1/2^{-})$ s-wave states as well as a new $I(J^P)=1(1/2^{+})$ state absent in quark models and lattice QCD results. Multiple statistical and phenomenological tests suggest that, while the data clearly require an $I=1$ p-wave resonance, the new state just accounts for the absence of the decuplet $\Sigma (1385)3/2^{+}$ in the model.

8 pages, 7 figures

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• Hyperon resonances coupled to pseudoscalar- and vector-baryon channels
• Roles of $a_0(980)$, $\Lambda (1670)$, and $\Sigma (1385)$ in the ${\Lambda }_c^{+}\to \eta \Lambda {\pi }^{+}$ decay
• New insights into the nature of the $\Lambda (1380)$ and $\Lambda (1405)$ resonances away from the SU(3) limit
• New insights into the pole parameters of the $\Lambda (1380)$, the $\Lambda (1405)$ and the $\Sigma (1385)$
• Pole trajectories of the $\Lambda (1405)$ helps establish its dynamical nature
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• Meson-baryon scattering in resummed baryon chiral perturbation theory using time-ordered perturbation theory
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• Predicting the Mpemba Effect Using Machine Learning
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