| Home > Publications database > Lattice QCD study of $\pi$$\Sigma$ − $\bar{K}$$N$ scattering and the $\Lambda(1405)$ resonance |
| Journal Article | GSI-2024-01149 |
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2024
American Physical Society
Ridge, NY
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Please use a persistent id in citations: doi:10.1103/PhysRevD.109.014511 doi:10.15120/GSI-2024-01149
Abstract: A lattice QCD computation of the coupled channel πΣ–K¯N scattering amplitudes in the Λ(1405) region is detailed. Results are obtained using a single ensemble of gauge field configurations with Nf=2+1 dynamical quark flavors and mπ≈200 MeV and mK≈487 MeV. Hermitian correlation matrices using both single baryon and meson-baryon interpolating operators for a variety of different total momenta and irreducible representations are used. Several parametrizations of the two-channel scattering K-matrix are utilized to obtain the scattering amplitudes from the finite-volume spectrum. The amplitudes, continued to the complex energy plane, exhibit a virtual bound state below the πΣ threshold and a resonance pole just below the K¯N threshold.
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