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Journal Article | PUBDB-2024-07354 |
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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:10.3204/PUBDB-2024-07354
Report No.: MIT-CTP/5580; arXiv:2307.13471
Abstract: A lattice QCD computation of the coupled channel $πΣ-\bar{K}N$ scattering amplitudes in the Λ(1405) region is detailed. Results are obtained using a single ensemble of gauge field configurations with N$_f$=2+1 dynamical quark flavors and m$_π$≈200 MeV and m$_K$≈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 $\bar{K}N$ threshold.
Keyword(s): resonance: pole ; quark: flavor ; lattice field theory ; Lambda(1405) ; scattering amplitude ; scattering ; baryon ; correlation ; parametrization ; gauge field theory ; meson baryon ; bound state ; coupled channel ; finite size
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Preprint
Lattice QCD study of $\pi\Sigma\unicode{x2013}\bar{K}N$ scattering and the $\Lambda(1405)$ resonance
[10.3204/PUBDB-2023-04593]
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