New insights into the nature of the $\Lambda (1380)$ and $\Lambda (1405)$ resonances away from the SU(3) limit

Abstract

Starting from the SU(3) limit, we consider the nature of the dynamically generated resonances $\Lambda (1380)$, $\Lambda (1405)$ and $\Lambda (1680)$ as the pion and kaon masses are tuned to their physical values. We show that the accidental symmetry of the two octets due to the leading order Weinberg-Tomozawa term is broken by the next-to-leading order terms. Most interestingly, we observe an interchange of the two trajectories of the $\Lambda (1380)$ and the $\Lambda (1405)$ away from the SU(3) limit at next-to-leading order. This remarkable phenomenon can be investigated using lattice QCD calculations that start from the SU(3) limit.

We have updated the notation compared to the journal version. No calculation or results are changed by this, 11 pages, 4 figures

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• Dynamically generated 0^+ heavy mesons in a heavy chiral unitary approach
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• Cross-channel constraints on resonant antikaon-nucleon scattering
• On the nature of the $\Lambda (1405)$ and $\Lambda (1670)$ from their $N_c$ behavior in chiral dynamics
• New insights into the pole parameters of the $\Lambda (1380)$, the $\Lambda (1405)$ and the $\Sigma (1385)$

Cited by in corpus (4)

• Structure of the $\mathbf{\Lambda }(1670)$ resonance
• Pole trajectories of the $\Lambda (1405)$ helps establish its dynamical nature
• Interactions of the Pseudoscalar Meson Octet and the Baryon Decuplet in the Continuum and a Finite Volume
• Low-energy $N\varphi$ scattering from a pole-enhanced triangle diagram