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.

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

References in corpus (30)

• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Chiral Dynamics of the Two Λ(1405) States
• A New Measurement of Kaonic Hydrogen X rays
• Relativistic chiral SU(3) symmetry, large N_c sum rules and meson-baryon scattering
• Dynamically generated 0^+ heavy mesons in a heavy chiral unitary approach
• Chiral expansion of baryon masses and $\sigma$-terms
• Roy-Steiner-equation analysis of pion-nucleon scattering
• Quark mass dependence of s-wave baryon resonances
• Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule
• Origin of resonances in the chiral unitary approach
• Flavour blindness and patterns of flavour symmetry breaking in lattice simulations of up, down and strange quarks
• Chiral dynamics of kaon-nucleon interactions, revisited
• Chiral dynamics of the S11(1535) and S11(1650) resonances revisited
• Two-pole structure of the $D_0^{\ast }(2400)$
• New insights into antikaon-nucleon scattering and the structure of the Lambda(1405)
• Strange and non-strange quark mass dependence of elastic light resonances from SU(3) Unitarized Chiral Perturbation Theory to one loop
• Chiral extrapolations of baryon masses for unquenched three-flavor lattice simulations
• Two-pole structures in QCD: Facts, not fantasy!
• Review of the $\mathbf{\Lambda }$(1405): A curious case of a strange-ness resonance
• QCD and the Strange Baryon Spectrum
• A cross-channel study of pion scattering from lattice QCD
• Study of exotic hadrons in S-wave scatterings induced by chiral interaction in the flavor symmetric limit
• Cross-channel constraints on resonant antikaon-nucleon scattering
• Low-lying Lambda Baryons from the Lattice
• The pole structure of the Lambda(1405) in a recent QCD simulation
• On the nature of the $\Lambda (1405)$ and $\Lambda (1670)$ from their $N_c$ behavior in chiral dynamics
• Composite and elementary natures of a1(1260) meson
• S- and p-wave structure of $S=-1$ meson-baryon scattering in the resonance region
• 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