Chirally motivated $\pi \Sigma$-$\bar{K}N$ model in a finite volume

Abstract

We generalize the chirally motivated $\pi \Sigma -\bar{K}N$ coupled channels model to the cubic finite volume and use it to calculate the stationary energy spectrum that appears in a nice agreement with the spectrum obtained in the lattice QCD simulations by the BaSc collaboration. Several other comparisons with the BaSc results are made, in particular relating their pole positions of the meson-baryon scattering matrix to the two-pole picture of $\Lambda (1405)$ generated by our chiral model in the infinite volume.

10 pages, 4 figures; updated to match the published version

References in corpus (7)

• Lattice QCD Evidence that the Lambda(1405) Resonance is an Antikaon-Nucleon Molecule
• New insights into antikaon-nucleon scattering and the structure of the Lambda(1405)
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• Two-pole structures in QCD: Facts, not fantasy!
• Two-pole nature of the $\Lambda (1405)$ from lattice QCD
• Lattice QCD study of $\pi \Sigma -\bar{K}N$ scattering and the $\Lambda (1405)$ resonance
• The Roper Resonance in a finite volume