Journal Article PUBDB-2024-07354

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Lattice QCD study of $πΣ-\bar{K}N$ scattering and the $Λ$(1405) resonance

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2024
American Physical Society Ridge, NY

Physical review / D 109(1), 014511 () [10.1103/PhysRevD.109.014511]
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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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Note: 18 pages, 11 figures

Contributing Institute(s):
  1. Leitungsbüro Zeuthen (Z_LB)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
  2. DFG project G:(GEPRIS)454605793 - Hadronstreuung und hadronische Resonanzen aus der Gitterquantenchromodynamik (454605793) (454605793)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2024
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 Record created 2024-12-05, last modified 2025-07-15


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